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Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

Motivated by a long-standing debate concerning the nature and interrelations of surface-tension variables in fluid membranes, we reformulate the thermodynamics of a membrane vesicle as a generic two-dimensional finite system enclosing a…

软凝聚态物质 · 物理学 2012-02-03 Haim Diamant

Soft solids with tunable mechanical response are at the core of new material technologies, but a crucial limit for applications is their progressive aging over time, which dramatically affects their functionalities. The generally accepted…

软凝聚态物质 · 物理学 2017-08-02 Mehdi Bouzid , Jader Colombo , Lucas Vieira Barbosa , Emanuela Del Gado

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

凝聚态物理 · 物理学 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

A class of isotropic and scale invariant strain energy functions is given for which the corresponding spherically symmetric elastic motion includes bodies whose diameter becomes infinite with time or collapses to zero in finite time,…

偏微分方程分析 · 数学 2023-12-12 Thomas C. Sideris

Elastic constants of zero-temperature amorphous solids are given as the difference between the Born term, which results from a hypothetical affine deformation of an amorphous solid, and a correction term which originates from the fact that…

统计力学 · 物理学 2023-07-12 Grzegorz Szamel

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

软凝聚态物质 · 物理学 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

In this work we use molecular simulations to examine methods of controlling mechanical properties of polymeric glass materials such as elastic moduli, mechanical heterogeneity as well as their glass transition temperature. We study filled…

软凝聚态物质 · 物理学 2016-10-13 George J. Papakonstantopoulos , Juan J. de Pablo

The mechanical behaviors of polycrystalline solids are determined by the interplay between phenomena governed by two different thermodynamic temperatures: the configurational effective temperature that controls the density of dislocations,…

材料科学 · 物理学 2016-12-28 J. S. Langer

We develop a theory of the effective disorder temperature in glass-forming materials driven away from thermodynamic equilibrium by external forces. Our basic premise is that the slow configurational degrees of freedom of such materials are…

材料科学 · 物理学 2015-05-13 Eran Bouchbinder , J. S. Langer

Thermodynamic equations for a solid and a solid continuum under stress are derived on the basis of a multicomponent mean field Markov process for thermofluctuation kinetics of microcracks. The resulting continuum is viscous elastoplastic…

数学物理 · 物理学 2014-04-03 V. M. Gertsik , A. L. Petrosyan

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

软凝聚态物质 · 物理学 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The paper is concerned with proving the equivalence of convexity or concavity properties of thermodynamic functions, such as energy and entropy, depending on different sets of variables. These variables are the basic thermodynamic state…

偏微分方程分析 · 数学 2025-10-29 Mária Lukáčová-Medvid'ová , Ferdinand Thein , Gerald Warnecke , Yuhuan Yuan

The role of jamming (steric constraints) and its relationship to the available volume is addressed by examining the effect that certain modifications of a glass-former have on the ratio of its isochoric and isobaric activation enthalpies.…

软凝聚态物质 · 物理学 2009-11-11 C. M. Roland , K. J. McGrath , R. Casalini

The glass transition refers to the non-equilibrium process by which an equilibrium liquid is transformed to a non-equilibrium disordered solid, or vice versa. Associated response functions, such as heat capacities, are markedly different on…

软凝聚态物质 · 物理学 2013-03-26 Aaron S. Keys , Juan P. Garrahan , David Chandler

In the recent years, much attention has been devoted to the inhomogeneous nature of the mechanical response at the nano-scale in disordered solids. Clearly, the elastic heterogeneities that have been characterized in this context are…

无序系统与神经网络 · 物理学 2014-08-26 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

材料科学 · 物理学 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We present an exactly solvable non-linear elastic model of a volume collapse transition in an isotropic solid. Integrity of the lattice through the transition leads to an infinite-range density-density interaction, which drives classical…

强关联电子 · 物理学 2007-05-23 S. Bustingorry , E. A. Jagla , J. Lorenzana

The origin of the dramatic changes in the behavior of liquids as they approach their vitreous state - increases of many orders of magnitude in transport properties and dynamic time scales - is a major unsolved problem in condensed matter.…

软凝聚态物质 · 物理学 2015-06-23 R. Casalini , D. Fragiadakis , C. M. Roland

The existence of heterogeneity in the dynamics of supercooled liquids is believed to be one of the hallmarks of the glass transition. Intense research has been carried out in the past to understand the origin of this heterogeneity in…

软凝聚态物质 · 物理学 2020-07-01 Indrajit Tah , Smarajit Karmakar