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Cruising and jumping: the effect of microplastics on the swimming behavior of copepods measured by 3D Lagrangian particle tracking velocimetry 巡航和跳跃:微塑料对三维拉格朗日粒子跟踪测速测量的桡足类游泳行为的影响
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-05-27 DOI: 10.1140/epje/s10189-026-00587-7
F.-G. Michalec, O. Praud, M. Lorite-Diez, S. Cazin, S. Souissi, E. Climent

Calanoid copepods are key components of marine and estuarine food webs. Exposure to various classes of pollutants induces changes in their swimming behavior. This raises concerns about potential effects on critical processes such as feeding, mating, predator avoidance and vertical migration. The effect of pollution by microplastics is not well known. We investigated in a large experimental tank the effects of the smallest size fraction of microplastics on the swimming behavior of the estuarine copepod Eurytemora affinis. Because the motion of zooplankton is intrinsically linked to that of the ambient fluid, we recorded copepods moving freely in calm water and in grid-generated turbulence to recreate some of the hydrodynamic conditions they experience in their natural environment. Using an advanced implementation of 3D Lagrangian particle tracking velocimetry, we simultaneously measured copepod trajectories and the surrounding flow field at high temporal resolution. In calm water, copepods alternated between periods of cruising and sudden relocation jumps. In turbulence, copepod motion was dominated by transport by the flow, yet jumps allowed copepods to deviate from the flow streamlines. The measurement of the relative velocity of copepods with respect to the underlying flow enabled us to characterize the statistics of these jumps. Turbulence significantly increased jump frequency without modifying their amplitude or duration. Following a 12-hour exposure to polyethylene fragments at 300 (mu )g/L, copepods showed increased jump frequency in calm water corresponding to 40 % increase in energetic cost. In contrast, exposure to microplastics produced weak additional effects on swimming behavior under turbulent conditions. These results confirm the existence of an active response to turbulence in E. affinis and are consistent with a hyperactive behavior triggered by exposure to microplastic pollution.

鱿鱼类桡足类是海洋和河口食物网的关键组成部分。暴露在不同种类的污染物中会引起它们游泳行为的变化。这引起了人们对关键过程的潜在影响的关注,如进食、交配、捕食者躲避和垂直迁移。微塑料污染的影响尚不为人所知。我们在一个大型实验池中研究了最小尺寸的微塑料对河口桡足动物游动行为的影响。由于浮游动物的运动与周围流体的运动有着内在的联系,我们记录了桡足类在平静的水中和网格产生的湍流中自由运动的情况,以重现它们在自然环境中经历的一些水动力条件。利用先进的三维拉格朗日粒子跟踪测速技术,我们以高时间分辨率同时测量了桡足动物的轨迹和周围的流场。在平静的水中,桡足类动物在巡航和突然迁移之间交替。在湍流中,桡足类的运动主要受水流的运输支配,而跳跃使桡足类偏离了水流的流线。桡足类动物相对于底层水流的相对速度的测量,使我们能够描述这些跳跃的统计特征。湍流显著增加了跳频,但没有改变其幅度或持续时间。在300 (mu ) g/L的聚乙烯碎片中暴露12小时后,桡足类在平静水中的跳跃频率增加了40% increase in energetic cost. In contrast, exposure to microplastics produced weak additional effects on swimming behavior under turbulent conditions. These results confirm the existence of an active response to turbulence in E. affinis and are consistent with a hyperactive behavior triggered by exposure to microplastic pollution.
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引用次数: 0
Modeling the heat of formation of indium telluride via graph entropy descriptors and curve fitting techniques 利用图熵描述符和曲线拟合技术对碲化铟的生成热进行建模
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-05-15 DOI: 10.1140/epje/s10189-026-00588-6
Wakeel Ahmed, Amman Farzeen, Kashif Ali, Shahid Zaman, Asad Ullah

This study presents an extensive graph-theoretic analysis of the thermodynamic properties of indium telluride (InTe). We analyze the significant relationship between the molecular structure of InTe and its macroscopic behavior through the application of graph entropy, a fundamental metric in information theory and statistical thermodynamics. In this framework, the chemical structure is depicted as a graph, with atoms as vertices and chemical bonds as edges. We calculate a set of topological indices for InTe, a material that is very useful in thermoelectrics, phase-change memory, and infrared optics. These indices encode the material’s structural connectivity in numbers. These indices are used to figure out a range of graph entropies, which measure how complex and information-rich the molecular lattice is. The main part of this work shows strong quantitative links between these graph entropies and important thermodynamic properties, such as heat capacity and heat of formation. We use suitable quadratic surface-fitting models that show exactly how these thermodynamic responses depend on pairs of graph entropies in a nonlinear way. All computational modeling and analysis are conducted to enhance statistical fit, guaranteeing that the chosen models deliver the most dependable predictive capability for comprehending and anticipating the material’s stability and thermal characteristics.

Graphical abstract

The alternative text for this image may have been generated using AI.
本研究对碲化铟(InTe)的热力学性质进行了广泛的图论分析。应用信息论和统计热力学中的基本度量——图熵,分析了InTe的分子结构与其宏观行为之间的重要关系。在这个框架中,化学结构被描绘成一个图,原子作为顶点,化学键作为边。我们计算了一组InTe的拓扑指数,InTe是一种在热电学、相变存储器和红外光学中非常有用的材料。这些指数用数字编码了材料的结构连通性。这些指数被用来计算图熵的范围,用来衡量分子晶格的复杂程度和信息的丰富程度。这项工作的主要部分显示了这些图熵与重要的热力学性质(如热容和生成热)之间强有力的定量联系。我们使用合适的二次曲面拟合模型,精确地显示这些热力学响应如何以非线性方式依赖于图熵对。所有的计算建模和分析都是为了增强统计拟合,保证所选择的模型提供最可靠的预测能力,以理解和预测材料的稳定性和热特性。图形抽象此图像的替代文本可能是使用AI生成的。
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引用次数: 0
Entropy-weighted topological descriptors in QSPR modeling of antituberculosis drugs 抗结核药物QSPR模型中的熵加权拓扑描述符
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-05-15 DOI: 10.1140/epje/s10189-026-00585-9
Xiaofang Li, Salma Kanwal, Hamna Aamer Butt

In this study, we develop quantitative structure–property relationship (QSPR) model using entropy-weighted topological descriptors to predict the physicochemical properties of antituberculosis drugs. The molecular structures of fifteen drugs used to treat tuberculosis were taken from PubChem, and their conventional degree-based descriptors were enhanced via Shannon entropy to account for both structural magnitude and distributional irregularity. These entropy-augmented indices were incorporated into quadratic, cubic, exponential, and logarithmic regression models to describe structure–property relationships. Model validation was performed using unsupervised (Entropy-Property Concordance Index, EPCI) and supervised (Local Regression Concordance, LRC) methods. The results demonstrate that entropy-weighted descriptors significantly improve interpretability, predictive accuracy, and structural validation in QSPR modeling. This approach offers a robust computational framework that can be extended to the rational design and property prediction of macrocyclic ligands and supramolecular assemblies, supporting advances in host-guest chemistry and targeted drug delivery systems.

在这项研究中,我们建立了定量结构-性质关系(QSPR)模型,利用熵加权拓扑描述符预测抗结核药物的理化性质。从PubChem中提取了15种用于治疗结核病的药物的分子结构,并通过香农熵对其传统的基于程度的描述符进行了增强,以解释结构大小和分布不规则性。这些熵增指数被纳入二次、三次、指数和对数回归模型,以描述结构-性质关系。采用无监督(熵属性一致性指数,EPCI)和监督(局部回归一致性,LRC)方法进行模型验证。结果表明,熵加权描述符显著提高了QSPR建模的可解释性、预测精度和结构验证。这种方法提供了一个强大的计算框架,可以扩展到大环配体和超分子组装的合理设计和性质预测,支持主客体化学和靶向药物递送系统的进步。
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引用次数: 0
Macroscopic emulsion drops formed through limited coalescence 有限聚并形成宏观乳化液滴。
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-05-12 DOI: 10.1140/epje/s10189-026-00582-y
D. Langevin

This short paper is a perspective article related to the seminal paper: S. Arditty, C. P. Whitby, B. P. Binks, V. Schmitt & F. Leal-Calderon “Some general features of limited coalescence in solid-stabilized emulsions” published in 2003 (Arditty et al. in Eur. Phys. J. E 12:355, 2003). I will first briefly recall the work described in this paper and discuss some of the developments that followed its publication. This will include comparisons with different coalescence mechanisms, together with comparisons with surfactant-stabilized emulsions and with particle-stabilized foams. I will end with a few comments on the state of the field of research and on future directions.

Graphic abstract

The alternative text for this image may have been generated using AI.
这篇短文是一篇与开创性论文相关的观点文章:S. Arditty, C. P. Whitby, B. P. Binks, V. Schmitt和F. Leal-Calderon于2003年发表的“固体稳定乳剂中有限聚结的一些一般特征”(Arditty等人在欧洲)。理论物理。[j] . e:355, 2003)。我将首先简要回顾本文中描述的工作,并讨论其发表后的一些发展。这将包括与不同聚结机制的比较,以及与表面活性剂稳定乳液和颗粒稳定泡沫的比较。最后,我将对这一领域的研究现状和未来的发展方向作一些评论。
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引用次数: 0
Role of wing surface morphology of the Indian carpenter bee in self-cleaning and dew formation 印度木蜂翅膀表面形态在自洁和露水形成中的作用
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-05-09 DOI: 10.1140/epje/s10189-026-00586-8
Ramchandra Narhe

We studied the surface morphology (micro- plus nanostructure) of Indian carpenter bee wings. In comparison with the Stenocara beetle’s surface morphology or the lotus leaf surface morphology, the Indian carpenter bee wing shows a different type of surface morphology. It is observed that the two-tire surface morphology of the wings plays a key role in controlling wettability. The equilibrium contact angle (θ) and contact angle hysteresis (Δθ) measurement revealed that the carpenter bees’ wings behave as superhydrophobic and self-cleaning for large water drops. Small drops formed by condensation nucleate in microchannels and ridges, grow through condensation and coalescence, and eventually become larger Wenzel or Wenzel–Cassie–Baxter type drops that lose their superhydrophobicity and self-cleaning property. Growth dynamics of condensed water drops on the wing surface show two distinguishing growth laws < R >  ~ tα, α = 0.41 ± 0.03 in the initial state and < R >  ~ tα, α = 0.99 ± 0.03 in the self-similar (coalescence-dominated) state with maximum surface coverage ≃ 0.45.

Graphical abstract

The alternative text for this image may have been generated using AI.
研究了印度木蜂翅膀的表面形貌(微纳米结构)。与狭翅甲虫的表面形态或荷叶表面形态相比,印度木匠蜂的翅膀表现出不同类型的表面形态。结果表明,双胎翼的表面形貌对润湿性的控制起着关键作用。平衡接触角(θ)和接触角滞后(Δθ)测量结果表明,木蜂翅膀对大水滴具有超疏水性和自清洁特性。由缩聚形成的小液滴在微通道和微嵴中成核,通过缩聚和聚结长大,最终成为较大的Wenzel型或Wenzel - cassie - baxter型液滴,失去其超疏水性和自清洁性能。机翼表面凝析水滴的生长动力学表现出两种明显的生长规律:初始态<; R > ~ tα, α = 0.41±0.03;自相似(聚结为主)态<; R > ~ tα, α = 0.99±0.03,最大表面覆盖率为0.45。图形抽象此图像的替代文本可能是使用AI生成的。
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引用次数: 0
Human lungs fluid mechanics: an overview of current modelling techniques 人体肺流体力学:当前建模技术的概述。
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-04-29 DOI: 10.1140/epje/s10189-026-00583-x
Francesco Romanò

Fluid mechanics governs numerous physiological processes in the respiratory system, influencing airflow dynamics, particle transport and aerosol formation, airway stability, mucus transport, surfactant mechanics, and pulmonary oedema. Over the past decades, engineers, physicists, and biomedical scientists have developed a wide range of models to describe these processes across multiple spatial and temporal scales. This paper provides an integrated overview of current modelling techniques in pulmonary fluid mechanics, emphasizing the multiscale and multiphysics nature of the lung. After discussing the principal challenges in simulating the mechanics of human lungs, we review the hierarchy of modelling approaches, from first-principle continuum formulations to reduced-order and data-driven models. We then explore strategies for coupling these models and conclude with a perspective on future directions, including the need for benchmark cases and clinically robust indicators for model validation.

流体力学控制着呼吸系统的许多生理过程,影响气流动力学、颗粒运输和气溶胶形成、气道稳定性、粘液运输、表面活性剂力学和肺水肿。在过去的几十年里,工程师、物理学家和生物医学科学家已经开发了广泛的模型来描述跨越多个空间和时间尺度的这些过程。本文提供了一个综合概述当前建模技术在肺流体力学,强调肺的多尺度和多物理场的性质。在讨论了模拟人体肺部力学的主要挑战之后,我们回顾了建模方法的层次结构,从第一原理连续体公式到降阶和数据驱动模型。然后,我们探讨了将这些模型耦合起来的策略,并对未来的方向进行了展望,包括需要基准病例和临床稳健性指标来验证模型。
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引用次数: 0
Thermal and solutal capillary effects in tear film dynamics 泪膜动力学中的热和溶质毛细管效应
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-04-17 DOI: 10.1140/epje/s10189-026-00574-y
Tara Chand Kumawat, Ketika Shah

An analytical and numerical study is carried out for the stability of a thin tear film considering a single-layered model. The mass, momentum, and energy equations are simplified under the lubrication approximation to obtain nonlinear partial differential spatiotemporal evolution equations for the film height and surfactant concentration. These evolution equations involve various physical mechanisms such as thermo- and solutocapillary stresses, van der Waals forces, surface tension forces, and slip at the corneal surface. Linear stability analysis reveals that solutocapillary stresses enhance the stability of the tear film by driving fluid from thicker to thinner regions. The thermocapillary stresses are found to enhance the instability, where the fluid is driven from a thinner (low surface tension) region to a thicker (high surface tension) region. Convective cooling due to cold wind flow also affects the growth rate of perturbations, with higher convection leading to a higher growth rate. The solutocapillary stresses dominate over the thermocapillary stresses beyond a certain critical value of the solutal Marangoni number. This critical threshold decreases with increasing Péclet number, indicating that the influence of solutocapillary effects becomes more pronounced under stronger advective transport. Numerical computations are carried out and show that the nonlinear stability results are in good agreement with those obtained from linear stability analysis. Furthermore, the computations reveal that the rupture time decreases with increasing thermal Marangoni number and slip coefficient, whereas it increases with the solutal Marangoni number.

Schematic representation of the tear film with lipid (surfactant) molecules, along with the temporal evolution of film thickness and surfactant distribution

本文对考虑单层模型的薄撕裂膜的稳定性进行了分析和数值研究。在润滑近似下对质量、动量和能量方程进行简化,得到膜高和表面活性剂浓度的非线性偏微分时空演化方程。这些演化方程涉及各种物理机制,如热毛细应力和溶质毛细应力、范德华力、表面张力和角膜表面的滑移。线性稳定性分析表明,溶质毛细管应力通过驱动流体从较厚的区域向较薄的区域流动来增强泪膜的稳定性。热毛细应力增强了不稳定性,其中流体从较薄(低表面张力)区域被驱动到较厚(高表面张力)区域。冷风流动引起的对流冷却也会影响扰动的增长速度,对流越大,增长速度越快。在溶质马兰戈尼数的某一临界值以上,溶质毛细管应力占主导地位,热毛细管应力占主导地位。该临界阈值随着psamclet数的增加而减小,说明在较强的平流输送条件下,溶质毛细效应的影响更为明显。数值计算表明,非线性稳定性分析结果与线性稳定性分析结果吻合较好。破裂时间随热马兰戈尼数和滑移系数的增加而减小,随溶质马兰戈尼数的增加而增大。图示含脂(表面活性剂)分子的泪膜,随膜厚和表面活性剂分布的时间演变
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引用次数: 0
Dependence of ATP content in the formation of protrusions in DMPC GUVs under an AC electric field 在交流电场作用下,ATP含量对DMPC guv突起形成的依赖性。
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-04-13 DOI: 10.1140/epje/s10189-026-00581-z
Gabriela Ángeles-Robles, Jaime Ruiz-Garcia, J. Alfredo Méndez, Luis Carlos Ortiz-Dosal

The cytoskeleton is an essential cell component. Many cellular processes that require changes in the cell structure depend on it. One of these processes is cell migration, which occurs through the formation of structures called protrusions that interact with other cytoskeletal components, enabling the cell to move slowly. These structures are formed by the polymerization of actin monomers, a process that requires the presence of ATP, as well as the exchange of divalent cations. In this work, we present a study on the formation of actin protrusions within DMPC giant unilamellar vesicles by varying the concentration of ATP, both in the absence and presence of MgCl2. It was found that when the concentration of ATP in the overall protein buffer increases, these structures form and extend inside the vesicle without breaking it, even in the absence of MgCl2. These protrusions are randomly oriented; however, when an alternating current electric field is applied, the protrusions align in the direction of the field in response to the polar nature of both lipids and actin filaments.

Graphical abstract

The alternative text for this image may have been generated using AI.
细胞骨架是细胞的基本组成部分。许多需要改变细胞结构的细胞过程都依赖于它。其中一个过程是细胞迁移,它通过一种叫做突起的结构的形成而发生,这种结构与其他细胞骨架成分相互作用,使细胞能够缓慢移动。这些结构是由肌动蛋白单体聚合形成的,这一过程需要ATP的存在,以及二价阳离子的交换。在这项工作中,我们提出了一项研究,通过改变ATP的浓度,在没有和存在MgCl2的情况下,DMPC巨型单层囊泡内肌动蛋白突起的形成。研究发现,当整个蛋白质缓冲液中ATP浓度增加时,即使在没有MgCl2的情况下,这些结构也会在囊泡内形成和延伸而不会破坏囊泡。这些突起的方向是随机的;然而,当施加交流电场时,突起会在磁场方向上对齐,以响应脂质和肌动蛋白丝的极性性质。
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引用次数: 0
Mechanistic mapping of temperature-dependent ssDNA elasticity with oxDNA2 coarse-grained model 用oxDNA2粗粒度模型对温度依赖的ssDNA弹性进行机理映射。
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-04-12 DOI: 10.1140/epje/s10189-026-00578-8
Isaiah Eze Igwe, Saratu Abdulfatah

The mechanical behavior of single-stranded DNA (ssDNA) controls its biological function and underpins the design of DNA-based nanodevices, yet the microscopic origin of temperature-dependent elasticity remains incompletely quantified. Here, we use the salt-aware, sequence-dependent oxDNA2 coarse-grained model to map how intra-strand stacking and temperature jointly determine ssDNA mechanics for two prototypical homopolymers, poly(dA)50 and poly(dT)50, across 27–100 °C at 1.0 M monovalent salt. Large ensembles of independent simulations were used to extract equilibrium observables such as persistence length ({l}_{p}), radius of gyration ({R}_{g}), end-to-end distance ({R}_{text{ee}}), and equilibrium force–extension relations. We find that poly(dA) is substantially stiffer than poly(dT) at low temperature: ({l}_{p})​ = 44.8 ± 2.0 nm at 27 °C decreases to 10.0 ± 0.7 nm at 100 °C, while poly(dT) remains comparatively flexible, varying only from 1.40 ± 0.08 nm to 1.05 ± 0.04 nm. These macroscopic changes closely track the loss of intra-strand stacking. For poly(dA), the stacking fraction decreases from 0.70 ± 0.02 to 0.20 ± 0.01, whereas poly(dT) remains weakly stacked across the full range (< 0.10). Force–extension analysis shows that the wormlike chain (WLC) model captures low-force entropic elasticity but fails at intermediate extensions in strongly stacked poly(dA), where cooperative unstacking produces excess forces of ~ 8 to 10 pN near (xapprox 0.6L). The normalized root-mean-square residual at 27 °C is 0.22 for poly(dA), compared to 0.03 for poly(dT). When ({l}_{p}) is normalized by its 27 °C value, both sequences collapse onto a single master curve as a function of stacking fraction (collapse slope ≈ 3.5 ± 0.3), indicating that fractional stacking loss serves as a unifying control parameter for thermal softening. These results quantitatively link microscopic stacking statistics to macroscopic elasticity, clarify the temperature-dependent limits of continuum polymer models, and provide a mechanistic framework for interpreting single-molecule stretching and ensemble measurements of ssDNA mechanics.

Graphical Abstract

The alternative text for this image may have been generated using AI.
单链DNA (ssDNA)的力学行为控制着它的生物学功能,并支撑着基于DNA的纳米器件的设计,然而,温度依赖弹性的微观起源仍然没有完全量化。在这里,我们使用盐感知、序列依赖的氧化脱氧na2粗粒度模型来绘制链内堆叠和温度如何共同决定两种原型均聚聚合物(poly(dA)50和poly(dT)50)在27-100°C、1.0 M单价盐下的ssDNA力学。利用独立模拟的大集合提取平衡观测值,如持续长度l p、旋转半径R g、端到端距离R ee和平衡力-扩展关系。我们发现poly(dA)在低温下比poly(dT)硬得多:在27°C时p = 44.8±2.0 nm,在100°C时p = 10.0±0.7 nm,而poly(dT)保持相对柔性,仅在1.40±0.08 nm到1.05±0.04 nm之间变化。这些宏观变化密切跟踪链内堆叠的丢失。对于poly(dA),堆积分数从0.70±0.02下降到0.20±0.01,而poly(dT)在全范围内保持弱堆积(x≈0.6 L)。27°C时,poly(dA)的归一化均方根残差为0.22,而poly(dT)的残差为0.03。当l p按其27°C值归一化时,两个序列作为堆积分数的函数(崩塌斜率≈3.5±0.3)崩溃到单一的主曲线上,表明分数堆积损失是热软化的统一控制参数。这些结果定量地将微观堆积统计与宏观弹性联系起来,阐明了连续统聚合物模型的温度依赖极限,并为解释单分子拉伸和ssDNA力学的系综测量提供了一个机制框架。
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引用次数: 0
Kinetic theory of dilute weakly charged granular gases with hard-core and inverse power-law interactions under uniform shear flow 均匀剪切流下具有硬核和逆幂律相互作用的稀弱带电颗粒气体的动力学理论。
IF 2.2 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2026-04-09 DOI: 10.1140/epje/s10189-026-00569-9
Yuria Kobayashi, Makoto R. Kikuchi, Shunsuke Iizuka, Satoshi Takada

We develop a kinetic-theory framework to investigate the steady rheology of a dilute gas interacting via a repulsive potential under uniform shear flow. Starting from the Boltzmann equation with a restitution coefficient that depends on the impact velocity and potential strength, we derive evolution equations for the stress tensor based on Grad’s moment expansion. The resulting expressions for the collisional rates and transport coefficients are fitted with simple analytical functions that capture their temperature dependence over a wide range of shear rates. Comparison with direct simulation Monte Carlo (DSMC) results shows excellent quantitative agreement for the shear stress, temperature anisotropy, and shear viscosity. We also analyze the velocity distribution functions, revealing that the system remains nearly Maxwellian even under strong shear.

我们开发了一个动力学理论框架来研究稀气体在均匀剪切流下通过排斥势相互作用的稳定流变性。从恢复系数依赖于冲击速度和潜在强度的玻尔兹曼方程出发,导出了基于格拉德矩展开的应力张量演化方程。碰撞速率和输运系数的表达式用简单的解析函数拟合,可以捕捉到它们在大范围剪切速率下的温度依赖性。与直接模拟蒙特卡罗(DSMC)结果的比较表明,剪切应力、温度各向异性和剪切粘度具有很好的定量一致性。我们还分析了速度分布函数,表明即使在强剪切作用下,系统仍保持接近麦克斯韦方程组。
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引用次数: 0
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The European Physical Journal E
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