Pub Date : 2026-10-15DOI: 10.1007/s00339-026-10325-7
V. Sanchez, C. E. Cifuentes Quintal, T. Doualle, Y. Pontillon, L. Gallais
Micro-machining with ultra-short (sub-ps) and short (ns) pulsed lasers is used to minimize thermal effects, as the heat-affected zone depends on pulse duration. The distinction between ’cold’ (ultra-short regime) and ’hot’ (short regime) ablation holds for single-shot processes, but for high-repetition-rates, it involves additional effects such as incubation, plasma shielding, and thermal accumulation, making the choice of optimal pulse duration more complex. This study compares laser cutting and engraving using sub-picosecond and nanosecond lasers at the same repetition rate of 0.5 MHz. Experiments on graphite determined ablation properties and optimal processing parameters. A thermal model was used to understand the heat accumulation resulting in incubation phenomenon and allows us to characterize the heat affected zone for a given process. Results highlight the influence of pulse duration and process parameters on efficiency and thermal effects, offering insight for high-repetition rates laser processing of sensitive materials.
{"title":"Comparison of laser ablation in the sub-picosecond and nanosecond regimes with MHz repetition rate at 515 nm and application to graphite","authors":"V. Sanchez, C. E. Cifuentes Quintal, T. Doualle, Y. Pontillon, L. Gallais","doi":"10.1007/s00339-026-10325-7","DOIUrl":"10.1007/s00339-026-10325-7","url":null,"abstract":"<div><p>Micro-machining with ultra-short (sub-ps) and short (ns) pulsed lasers is used to minimize thermal effects, as the heat-affected zone depends on pulse duration. The distinction between ’cold’ (ultra-short regime) and ’hot’ (short regime) ablation holds for single-shot processes, but for high-repetition-rates, it involves additional effects such as incubation, plasma shielding, and thermal accumulation, making the choice of optimal pulse duration more complex. This study compares laser cutting and engraving using sub-picosecond and nanosecond lasers at the same repetition rate of 0.5 MHz. Experiments on graphite determined ablation properties and optimal processing parameters. A thermal model was used to understand the heat accumulation resulting in incubation phenomenon and allows us to characterize the heat affected zone for a given process. Results highlight the influence of pulse duration and process parameters on efficiency and thermal effects, offering insight for high-repetition rates laser processing of sensitive materials.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1007/s00339-026-10336-4
M. Chairman, S. Gopinath
Reliable, non-invasive glucose monitoring remains essential for improving diabetes management, motivating the development of highly sensitive terahertz (THz) biosensors. This study proposes a hybrid Graphene/Au/MXene/Cu metasurface biosensor on a SiO₂ substrate featuring a central copper rectangular resonator, MXene–WS₂-coated V-shaped resonators, concentric gold rings, and a graphene layer to enhance plasmonic field confinement. Full-wave COMSOL simulations and parametric optimization investigated graphene chemical potential (0.1–0.9 eV), incidence angle (0°–80°), and resonator dimensions across four structural configurations. The optimized design achieved a maximum local sensitivity of 1000 GHz/RIU over a glucose refractive index range of 1.335–1.338, with a figure of merit of 10.753 RIU⁻¹ and a quality factor of 4.250 at 0.391 THz. Electric field enhancement reached 9.15 × 10⁷ V/m, while a 1D-CNN surrogate model predicted sensor responses with R² > 0.9992 and MAPE < 0.18%. These numerical findings establish a computationally efficient platform with potential for rapid, label-free THz glucose sensing and provide a basis for subsequent experimental validation.
{"title":"Numerical design and 1D-CNN surrogate modeling of a tunable Graphene/Au/MXene/WS₂/Cu terahertz metasurface for high-sensitivity RI-based glucose sensing","authors":"M. Chairman, S. Gopinath","doi":"10.1007/s00339-026-10336-4","DOIUrl":"10.1007/s00339-026-10336-4","url":null,"abstract":"<div><p>Reliable, non-invasive glucose monitoring remains essential for improving diabetes management, motivating the development of highly sensitive terahertz (THz) biosensors. This study proposes a hybrid Graphene/Au/MXene/Cu metasurface biosensor on a SiO₂ substrate featuring a central copper rectangular resonator, MXene–WS₂-coated V-shaped resonators, concentric gold rings, and a graphene layer to enhance plasmonic field confinement. Full-wave COMSOL simulations and parametric optimization investigated graphene chemical potential (0.1–0.9 eV), incidence angle (0°–80°), and resonator dimensions across four structural configurations. The optimized design achieved a maximum local sensitivity of 1000 GHz/RIU over a glucose refractive index range of 1.335–1.338, with a figure of merit of 10.753 RIU⁻¹ and a quality factor of 4.250 at 0.391 THz. Electric field enhancement reached 9.15 × 10⁷ V/m, while a 1D-CNN surrogate model predicted sensor responses with R² > 0.9992 and MAPE < 0.18%. These numerical findings establish a computationally efficient platform with potential for rapid, label-free THz glucose sensing and provide a basis for subsequent experimental validation.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1140/epjb/s10051-026-01291-3
Erhan Albayrak
This research utilizes a mean field theory (MFT) on spin-1/2 diatomic molecules for the first time to obtain the thermal changes in magnetizations for each molecule, thus generating the phase diagrams. The same model was also studied using the Bethe lattice (BL) approach in terms of the exact recursion relations (ERR) in order to compare its results with the MFT results. Different types of bilinear interaction parameters between the constituents of a molecule and nearest-neighbor (NN) molecules were assumed, and the coordination number is set to three, corresponding to the honeycomb lattice. It is found that the MFT only gives second-order phase transitions, but the ERR approach gives various phase transitions. The obtained results show that the ERR approach on the BL is superior over the MFT since it provides many more details of the model.
{"title":"Ising diatomic molecules in the mean-field and exact recursion relations approach","authors":"Erhan Albayrak","doi":"10.1140/epjb/s10051-026-01291-3","DOIUrl":"10.1140/epjb/s10051-026-01291-3","url":null,"abstract":"<p>This research utilizes a mean field theory (MFT) on spin-1/2 diatomic molecules for the first time to obtain the thermal changes in magnetizations for each molecule, thus generating the phase diagrams. The same model was also studied using the Bethe lattice (BL) approach in terms of the exact recursion relations (ERR) in order to compare its results with the MFT results. Different types of bilinear interaction parameters between the constituents of a molecule and nearest-neighbor (NN) molecules were assumed, and the coordination number is set to three, corresponding to the honeycomb lattice. It is found that the MFT only gives second-order phase transitions, but the ERR approach gives various phase transitions. The obtained results show that the ERR approach on the BL is superior over the MFT since it provides many more details of the model.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1007/s00339-026-10331-9
Ghada Raddaoui, Karim Souifi, Abdullah Saad Alsubaie, Khasan Berdimuradov, Elyor Berdimurodov, Mansur Radjabov, Okhunjon Khasanov
Dy₀.₅Ba₀.₅CrO₃ was synthesized using a citrate-based sol–gel method and investigated through structural, microstructural, dielectric, impedance, electrical-transport, and electronic-structure analyses. X-ray diffraction and Rietveld refinement indicated the formation of a predominantly single-phase orthorhombic perovskite structure with Pnma symmetry. The refinement produced (Rp = 4.2%, Rwp = 5.6%, χ2 = 2.17), and a goodness-of-fit value of 1.47. Williamson–Hall analysis gave an average crystallite size of approximately 44 nm and a microstrain of. The conductivity increased with temperature, confirming thermally activated semiconducting behavior. Activation energies of approximately eV for DC transport and eV for relaxation were obtained from Arrhenius analysis. The frequency-dependent conductivity followed Jonscher’s universal power law, while the impedance response exhibited thermally activated non-Debye relaxation and a decreasing overall resistance with increasing temperature. Because no equivalent-circuit fitting was performed, separate grain and grain-boundary parameters were not extracted. Oxygen-related defects and chromium mixed valence are discussed as possible contributors to localized transport but are not considered conclusively established without complementary bulk oxygen-stoichiometry measurements.
{"title":"Structural, dielectric, electrical, and electronic-structure properties of Dy₀.₅Ba₀.₅CrO₃ perovskite","authors":"Ghada Raddaoui, Karim Souifi, Abdullah Saad Alsubaie, Khasan Berdimuradov, Elyor Berdimurodov, Mansur Radjabov, Okhunjon Khasanov","doi":"10.1007/s00339-026-10331-9","DOIUrl":"10.1007/s00339-026-10331-9","url":null,"abstract":"<div><p>Dy₀.₅Ba₀.₅CrO₃ was synthesized using a citrate-based sol–gel method and investigated through structural, microstructural, dielectric, impedance, electrical-transport, and electronic-structure analyses. X-ray diffraction and Rietveld refinement indicated the formation of a predominantly single-phase orthorhombic perovskite structure with Pnma symmetry. The refinement produced (R<sub>p</sub> = 4.2%, R<sub>wp</sub> = 5.6%, χ<sup>2</sup> = 2.17), and a goodness-of-fit value of 1.47. Williamson–Hall analysis gave an average crystallite size of approximately 44 nm and a microstrain of. The conductivity increased with temperature, confirming thermally activated semiconducting behavior. Activation energies of approximately eV for DC transport and eV for relaxation were obtained from Arrhenius analysis. The frequency-dependent conductivity followed Jonscher’s universal power law, while the impedance response exhibited thermally activated non-Debye relaxation and a decreasing overall resistance with increasing temperature. Because no equivalent-circuit fitting was performed, separate grain and grain-boundary parameters were not extracted. Oxygen-related defects and chromium mixed valence are discussed as possible contributors to localized transport but are not considered conclusively established without complementary bulk oxygen-stoichiometry measurements.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1007/s00339-026-10269-y
N. A. Wahab, M. H. Shehri, S. B. R. S. Adnan, S. Rudhziah, N. A. Dzulkurnain, N. A. Mustaffa
The Mg₀.₅₊₀.₅ₓAlₓTi₂₋ₓ(PO₄)₃ samples (x = 0.1, 0.3, 0.5, 0.7 and 0.9) were investigated to evaluate the effect of Al³⁺ substitution on the structural and ionic transport properties of Mg₀.₅Ti₂(PO₄)₃. XRD results confirmed that the samples predominantly exhibited a rhombohedral R-3c crystal structure similar to that of the parent compound. The Al³⁺ substitution for Ti⁴⁺ is proposed to promote charge compensation, which may facilitate the incorporation of additional Mg²⁺ ions and consequently enhance ionic transport. Among the investigated compositions, x = 0.5 (AL5) exhibited the highest ionic conductivity, reaching 2.61 × 10⁻⁸ S cm⁻¹ at room temperature and 5.41 × 10⁻⁶ S cm⁻¹ at 500 °C. The enhancement in conductivity is consistent with the proposed charge-compensation mechanism, although direct confirmation of interstitial Mg²⁺ occupancy requires further structural characterization. The frequency-dependent conductivity and temperature dependence of the frequency exponent further indicate thermally activated ionic transport in AL5. The Arrhenius analysis of total ionic conductivity yielded apparent activation energies of 0.04 eV and 0.62 eV for the low and high temperature regions, respectively. These findings demonstrate that Al substitution can effectively enhance the ionic transport properties of Mg₀.₅Ti₂(PO₄)₃ and provide useful insight into the development of NASICON-type magnesium-ion solid electrolytes.
{"title":"Aliovalent Al³⁺ substitution-induced enhancement of Mg²⁺ ionic conductivity in NASICON-type Mg0.5Ti2(PO4)3 solid electrolytes","authors":"N. A. Wahab, M. H. Shehri, S. B. R. S. Adnan, S. Rudhziah, N. A. Dzulkurnain, N. A. Mustaffa","doi":"10.1007/s00339-026-10269-y","DOIUrl":"10.1007/s00339-026-10269-y","url":null,"abstract":"<div><p>The Mg₀.₅₊₀.₅ₓAlₓTi₂₋ₓ(PO₄)₃ samples (<i>x</i> = 0.1, 0.3, 0.5, 0.7 and 0.9) were investigated to evaluate the effect of Al³⁺ substitution on the structural and ionic transport properties of Mg₀.₅Ti₂(PO₄)₃. XRD results confirmed that the samples predominantly exhibited a rhombohedral R-3c crystal structure similar to that of the parent compound. The Al³⁺ substitution for Ti⁴⁺ is proposed to promote charge compensation, which may facilitate the incorporation of additional Mg²⁺ ions and consequently enhance ionic transport. Among the investigated compositions, <i>x</i> = 0.5 (AL5) exhibited the highest ionic conductivity, reaching 2.61 × 10⁻⁸ S cm⁻¹ at room temperature and 5.41 × 10⁻⁶ S cm⁻¹ at 500 °C. The enhancement in conductivity is consistent with the proposed charge-compensation mechanism, although direct confirmation of interstitial Mg²⁺ occupancy requires further structural characterization. The frequency-dependent conductivity and temperature dependence of the frequency exponent further indicate thermally activated ionic transport in AL5. The Arrhenius analysis of total ionic conductivity yielded apparent activation energies of 0.04 eV and 0.62 eV for the low and high temperature regions, respectively. These findings demonstrate that Al substitution can effectively enhance the ionic transport properties of Mg₀.₅Ti₂(PO₄)₃ and provide useful insight into the development of NASICON-type magnesium-ion solid electrolytes.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1140/epja/s10050-026-01974-6
Allencris John Rubesh Rajan, Laboni Manna
We assess the prospects for inclusive heavy-quark-pair electroproduction in electron–proton (ep) and electron–nucleus (eA) collisions, alongside double-charm-pair ((D^0 bar{D}^0) and (D^0D^0)) electroproduction in ep collisions, during the early operational phase of the Electron-Ion Collider (EIC). Based on the anticipated beam energies and luminosities of the EIC, we estimate the total cross sections and differential distributions for photon virtuality (Q^2), heavy-quark transverse momentum, and rapidity. This analysis evaluates different Bjorken-x ((x_textrm{Bj})) intervals across a range of (Q^2) values. Expected event yields are estimated from the projected integrated luminosities of the early science programme, demonstrating the substantial improvement in statistical precision over previous HERA measurements at moderate and large (x_{textrm{Bj}}). For electron–nucleus collisions, we compute the nuclear modification ratio (R^{etext {A}}) within collinear factorisation using nuclear parton distribution functions, and identify the kinematic regimes in which shadowing, anti-shadowing, and EMC-like suppression are accessible with early EIC data. These results are intended to serve as a parton-level baseline to support feasibility studies and to provide a reference for future higher-order theoretical and experimental investigations at the EIC.
{"title":"Prospects for early heavy-quark measurements at the EIC","authors":"Allencris John Rubesh Rajan, Laboni Manna","doi":"10.1140/epja/s10050-026-01974-6","DOIUrl":"10.1140/epja/s10050-026-01974-6","url":null,"abstract":"<div><p>We assess the prospects for inclusive heavy-quark-pair electroproduction in electron–proton (<i>ep</i>) and electron–nucleus (<i>e</i>A) collisions, alongside double-charm-pair (<span>(D^0 bar{D}^0)</span> and <span>(D^0D^0)</span>) electroproduction in <i>ep</i> collisions, during the early operational phase of the Electron-Ion Collider (EIC). Based on the anticipated beam energies and luminosities of the EIC, we estimate the total cross sections and differential distributions for photon virtuality <span>(Q^2)</span>, heavy-quark transverse momentum, and rapidity. This analysis evaluates different Bjorken-<i>x</i> (<span>(x_textrm{Bj})</span>) intervals across a range of <span>(Q^2)</span> values. Expected event yields are estimated from the projected integrated luminosities of the early science programme, demonstrating the substantial improvement in statistical precision over previous HERA measurements at moderate and large <span>(x_{textrm{Bj}})</span>. For electron–nucleus collisions, we compute the nuclear modification ratio <span>(R^{etext {A}})</span> within collinear factorisation using nuclear parton distribution functions, and identify the kinematic regimes in which shadowing, anti-shadowing, and EMC-like suppression are accessible with early EIC data. These results are intended to serve as a parton-level baseline to support feasibility studies and to provide a reference for future higher-order theoretical and experimental investigations at the EIC.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"62 10","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epja/s10050-026-01974-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-15DOI: 10.1140/epje/s10189-026-00630-7
Fabrizio Croccolo, Giovanna Fragneto, Holger Stark
On the occasion of the 25th anniversary of The European Physical Journal E—Soft Matter and Biological Physics, we reflect on the journal’s origins, rooted in Pierre-Gilles de Gennes’ vision of soft matter as a unifying field of physics, and trace its evolution to encompass biological and active systems. We review EPJE’s current position as a journal combining strong European roots with global reach, publishing original research, topical issues, reviews, and experimentally focused Tips and Tricks papers. Looking ahead, we outline our vision: deepening coverage of non-equilibrium and active matter, expanding into functional soft materials, reinforcing our strength in rheology, prioritizing experimental innovation, and embracing sustainability-related research, while remaining committed to Open Access and to bridging generations of scientists in the field.
在《欧洲物理杂志e-软物质与生物物理学》创刊25周年之际,我们回顾了该杂志的起源,它植根于皮埃尔-吉尔勒·德热纳(Pierre-Gilles de Gennes)关于软物质作为物理学统一领域的愿景,并追溯了它的演变,涵盖了生物和活动系统。我们回顾了EPJE目前的地位,作为一个结合强大的欧洲根基和全球影响力的期刊,发表原创研究,专题问题,评论和实验重点提示和技巧论文。展望未来,我们概述了我们的愿景:深化非平衡和活性物质的覆盖范围,扩展到功能软材料,加强我们在流变学方面的实力,优先考虑实验创新,拥抱与可持续性相关的研究,同时继续致力于开放获取并在该领域架起几代科学家的桥梁。
{"title":"25th EPJE anniversary: vision piece on EPJE role today and tomorrow","authors":"Fabrizio Croccolo, Giovanna Fragneto, Holger Stark","doi":"10.1140/epje/s10189-026-00630-7","DOIUrl":"10.1140/epje/s10189-026-00630-7","url":null,"abstract":"<p>On the occasion of the 25th anniversary of The European Physical Journal E—Soft Matter and Biological Physics, we reflect on the journal’s origins, rooted in Pierre-Gilles de Gennes’ vision of soft matter as a unifying field of physics, and trace its evolution to encompass biological and active systems. We review EPJE’s current position as a journal combining strong European roots with global reach, publishing original research, topical issues, reviews, and experimentally focused Tips and Tricks papers. Looking ahead, we outline our vision: deepening coverage of non-equilibrium and active matter, expanding into functional soft materials, reinforcing our strength in rheology, prioritizing experimental innovation, and embracing sustainability-related research, while remaining committed to Open Access and to bridging generations of scientists in the field.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"49 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We have numerically calculated energy spectrum of electron in isolated GaAs-AlGaAs Quantum Well in conduction band in presence of uniform static magnetic field applied parallel to GaAs-AlGaAs interfaces. We have numerically solved eigenvalue equation of energy using a two-point boundary value problem in this regard. This is the first use of the numerical method to this classic problem of nanostructure physics. There is no need to use any analytical expression for eigenfunctions in the calculations. We have also shown that results of our method agree very well with known standard results where available; we analyzed two different cases in this regard. Thus the work introduces a novel numerical approach in computational nanostructure physics.
{"title":"In-plane magnetic field dependent energy spectrum of isolated GaAs-AlGaAs quantum well: numerical calculation","authors":"Shahajan Miah, Nujhat Nuri Sultana, Sujaul Chowdhury","doi":"10.1007/s00339-026-10279-w","DOIUrl":"10.1007/s00339-026-10279-w","url":null,"abstract":"<div><p>We have numerically calculated energy spectrum of electron in isolated GaAs-AlGaAs Quantum Well in conduction band in presence of uniform static magnetic field applied parallel to GaAs-AlGaAs interfaces. We have numerically solved eigenvalue equation of energy using a two-point boundary value problem in this regard. This is the first use of the numerical method to this classic problem of nanostructure physics. There is no need to use any analytical expression for eigenfunctions in the calculations. We have also shown that results of our method agree very well with known standard results where available; we analyzed two different cases in this regard. Thus the work introduces a novel numerical approach in computational nanostructure physics.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-14DOI: 10.1007/s00159-026-00174-x
Andrea Biviano, Lorenzo Pizzuti, Antonaldo Diaferio
Galaxy clusters are among the most powerful laboratories to probe fundamental physics, from the formation of cosmic structures to the nature of dark matter, dark energy, and gravity. Realizing their full potential requires accurate and unbiased determinations of their mass profiles, a longstanding challenge in cluster cosmology. In this context, the kinematics of member galaxies in clusters has become a key tool to reconstruct the mass distribution and investigate the dynamical properties of clusters. The advent of large spectroscopic datasets has enabled the application of increasingly sophisticated models and robust techniques, which make kinematic analyses competitive with other probes of cluster dynamics. In this review, we provide a comprehensive overview of cluster kinematics, covering the main methods to infer dynamical masses and mass profiles, their physical assumptions, and the impact of systematics, such as deviation from dynamical equilibrium, triaxiality, and substructures. We discuss the complementarity with other techniques to investigate the structure of clusters and highlight recent applications to tests cosmological models. We focus in particular on the role of kinematical studies in constraining the dark sector (dark matter and dark energy) and in providing novel insights into the behavior of gravity at Mpc scales. Finally, we outline current limitations and future prospects, emphasizing that the combination of improved modeling and forthcoming spectroscopic surveys will establish cluster kinematics as a fundamental probe in the era of precision cosmology.
{"title":"Exploring the dark sector through galaxy dynamics in clusters","authors":"Andrea Biviano, Lorenzo Pizzuti, Antonaldo Diaferio","doi":"10.1007/s00159-026-00174-x","DOIUrl":"10.1007/s00159-026-00174-x","url":null,"abstract":"<div><p>Galaxy clusters are among the most powerful laboratories to probe fundamental physics, from the formation of cosmic structures to the nature of dark matter, dark energy, and gravity. Realizing their full potential requires accurate and unbiased determinations of their mass profiles, a longstanding challenge in cluster cosmology. In this context, the kinematics of member galaxies in clusters has become a key tool to reconstruct the mass distribution and investigate the dynamical properties of clusters. The advent of large spectroscopic datasets has enabled the application of increasingly sophisticated models and robust techniques, which make kinematic analyses competitive with other probes of cluster dynamics. In this review, we provide a comprehensive overview of cluster kinematics, covering the main methods to infer dynamical masses and mass profiles, their physical assumptions, and the impact of systematics, such as deviation from dynamical equilibrium, triaxiality, and substructures. We discuss the complementarity with other techniques to investigate the structure of clusters and highlight recent applications to tests cosmological models. We focus in particular on the role of kinematical studies in constraining the dark sector (dark matter and dark energy) and in providing novel insights into the behavior of gravity at Mpc scales. Finally, we outline current limitations and future prospects, emphasizing that the combination of improved modeling and forthcoming spectroscopic surveys will establish cluster kinematics as a fundamental probe in the era of precision cosmology.</p></div>","PeriodicalId":785,"journal":{"name":"The Astronomy and Astrophysics Review","volume":"34 1","pages":""},"PeriodicalIF":20.1,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00159-026-00174-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-14DOI: 10.1007/s12043-026-03177-6
Francis Tuffour, Benedict Barnes
The Kaup–Kupershmidt equation is used to study nonlinear wave propagation associated with ocean currents, capturing the combined effects of nonlinearity and dispersion. Due to the many solitons exhibited by the fractional Kaup–Kupershmidt (K–K) equation, which represent the many solitary waves observed in ocean currents, plasma physics, and optics, several analytical methods have been developed and consistently applied to study these phenomena. One such method is the homogeneous balance method (HBM), which invariably relies on the embedded Riccati equation. Thus, the workability of the HBM largely depends on the embedded Riccati equation, which by and large determines the number and type of solitons yielded when the HBM is applied to the fractional K–K equation. Undeniably, several Riccati equations appear in the literature, each with unique properties. Therefore, if the HBM is embedded with a particular Riccati equation for solving the fractional K–K equation, the underlying mechanisms of the solitary waves in ocean current, plasma physics and optics are unveiled. The HBM and its modified methods explored only by the researchers have not been exhaustively observed a fractional Riccati equation with a quadratic term as the dependent variable, where coefficient of the second term is one and coefficient of the linear term is zero, (frac{d^{gamma }phi }{dxi ^{gamma }} = p + phi ^2(xi ),) quadratic term as the dependent variable and applied this modified homogeneous balance method (MHBM) to obtain the exact solitons of the fractional K–K equation. Applying the MHBM in solving the fractional K–K equation yielded five solitons: a bright soliton with a flat top, a gray soliton, a dark soliton with a flat bottom, an L-tilted soliton, and a halfway dark soliton. Three of the five solitons, a bright soliton with a flat bottom, a dark soliton with a flat bottom, and an L-tilted soliton, were new solitons that have not been observed in literature. These three new solitons of the fractional K–K equation have been observed in this paper as a result of a new embedded Riccati equation in HBM. The soliton properties, such as the kinetic and potential energies of the gray soliton and L-tilted soliton, are similar, whereas in the bright soliton and in the flat top and dark soliton with flat bottom, the potential and kinetic energies are in opposite directions. Lastly, the kinetic energy of the halfway dark soliton increases exponentially.
kap - kupershmidt方程用于研究与洋流有关的非线性波传播,捕捉非线性和色散的综合效应。由于分数阶kup - kupershmidt (K-K)方程显示了许多孤子,它们代表了在洋流、等离子体物理和光学中观察到的许多孤立波,因此已经开发了几种分析方法并一直应用于研究这些现象。其中一种方法是齐次平衡法(HBM),它总是依赖于内嵌的Riccati方程。因此,HBM的可操作性在很大程度上取决于嵌入的Riccati方程,该方程在很大程度上决定了HBM应用于分数阶K-K方程时产生的孤子的数量和类型。不可否认,文献中出现了几个里卡第方程,每个方程都有独特的性质。因此,如果在HBM中嵌入求解分数K-K方程的特定Riccati方程,则可以揭示洋流中孤立波的潜在机制,等离子体物理和光学。仅研究人员探索的HBM及其改进方法尚未详尽地观察到以二次项为因变量的分数阶Riccati方程,其中第二项系数为1,线性项系数为零,(frac{d^{gamma }phi }{dxi ^{gamma }} = p + phi ^2(xi ),)二次项为因变量,并应用这种改进的齐次平衡法(MHBM)获得分数阶K-K方程的精确孤子。用MHBM求解分数K-K方程得到了五个孤子:一个平顶亮孤子、一个灰孤子、一个平底暗孤子、一个l倾斜孤子和一个半暗孤子。五个孤子中的三个,一个底部平坦的亮孤子,一个底部平坦的暗孤子和一个l倾斜的孤子,是文献中未观察到的新孤子。本文通过在HBM中嵌入一个新的Riccati方程,观察到了分数阶K-K方程的这三个新的孤子。灰色孤子和l倾斜孤子的动能和势能是相似的,而明亮孤子、平顶孤子和平底暗孤子的动能和势能方向相反。最后,半暗孤子的动能呈指数增长。
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