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A continuum model of crystalline solid equilibrium is presented in which the underlying periodic lattice structure is taken explicitly into account. This model also allows for both point and line defects in the bulk of the lattice and at…

Materials Science · Physics 2009-10-31 Paolo Cermelli , Shaun Sellers

Non-equilibrium systems have long-ranged spatial correlations even far away from critical points. This implies that the likelihoods of spatial steady state profiles of physical observables are nonlocal functionals. In this letter, it is…

Statistical Mechanics · Physics 2015-05-14 Otto Pulkkinen

We study the relaxation of a non-equilibrium carrier distribution under the influence of the electron-electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part…

Disordered Systems and Neural Networks · Physics 2008-02-15 Peter Bozsoki , Imre Varga , Henning Schomerus

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a…

Analysis of PDEs · Mathematics 2026-01-19 Manuel Friedrich , José Matias , Elvira Zappale

In the dilute limit Eshelby's inclusion theory captures the behavior of a wide range of systems and properties. However, because Eshelby's approach neglects interfacial stress, it breaks down in soft materials as the inclusion size…

Soft Condensed Matter · Physics 2016-03-22 Francesco Mancarella , Robert W. Style , John S. Wettlaufer

Under many circumstances many soft and hard materials are present in a puzzling wealth of non-equilibrium amorphous states, whose properties are not stationary and depend on preparation. They are often summarized in unconventional "phase…

Soft Condensed Matter · Physics 2021-04-20 Jesús Benigno Zepeda-López , Magdaleno Medina-Noyola

We present a new finite deformation, dynamic finite element model that incorporates surface tension to capture elastocapillary effects on the electromechanical deformation of dielectric elastomers. We demonstrate the significant effect that…

Soft Condensed Matter · Physics 2016-04-14 Saman Seifi , Harold S. Park

A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large…

Statistical Mechanics · Physics 2016-10-26 Baoquan Feng , Shuai Yin , Fan Zhong

A simple model of inelastic hard-rods subject to a one-dimensional array of identical wells is introduced. The energy loss due to inelastic collisions is balanced by the work supplied by an external stochastic heat-bath. We explore the…

Materials Science · Physics 2009-11-10 Fabio Cecconi , Umberto Marini-Bettolo-Marconi , Fabiana Diotallevi , Andrea Puglisi

We derive two consequences of the distributional form of the stress equilibrium condition while incorporating piecewise smooth stress and body force fields with singular concentrations on an interface. First we obtain the local equilibrium…

Mathematical Physics · Physics 2022-08-31 Animesh Pandey , Anurag Gupta

A simple expression for the non-equilibrium distribution function in ultra-fast transient processes is proposed. Postulating its dependence on temporal derivatives of the equilibrium integrals of motion, non-equilibrium analogues of the…

Statistical Mechanics · Physics 2025-02-18 K. S. Glavatskiy

Recent experiments have shown that surface stresses in soft materials can have a significant strain-dependence. Here we explore the implications of this surface elasticity to show how, and when, we expect it to arise. We develop the…

Soft Condensed Matter · Physics 2020-05-28 Robert W. Style , Qin Xu

From the generalized fluctuation-dissipation theorem, it is known that a body at rest made of nonreciprocal material may experience a torque, even in vacuum, if it is not in thermal equilibrium with its environment. However, it does not…

Quantum Physics · Physics 2024-05-28 Kimball A. Milton , Xin Guo , Gerard Kennedy , Nima Pourtolami , Dylan M. DelCol

High molecular weight polymer solutions have a powerful tendency to deposit adsorbed layers when exposed to even mildly attractive surfaces. The equilibrium properties of these dense interfacial layers have been extensively studied…

Soft Condensed Matter · Physics 2007-05-23 Ben O'Shaughnessy , Dimitrios Vavylonis

Stochastic thermodynamics provides a useful set of tools to analyze and constrain the behavior of far from equilibrium systems. In this paper, we report an application of ideas from stochastic thermodynamics to the problem of membrane…

Soft Condensed Matter · Physics 2019-10-25 Michael Nguyen , Suriyanarayanan Vaikuntanathan

The possibility of a friction term in the equation of motion for a scalar field is investigated in non-equilibrium field theory. The results obtained differ greatly from existing estimates based on linear response theory, and suggest that…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ian D. Lawrie

We investigate the interface of a glass-forming fluid showing non-Newtonian rheology. By applying shear flow in the interface, we detect that the surface tension depends on the shear rate. Importantly, the standard way of determining…

Soft Condensed Matter · Physics 2025-08-12 Linnea Heitmeier , Thomas Voigtmann

The methods of non-equilibrium thermodynamics of systems with an interface have been applied to the study of thermionic emission processes in abrupt semiconductor junctions, including the effects of surface states . Our analysis covers…

Condensed Matter · Physics 2015-06-25 G. Gomila , A. Perez-Madrid , J. M. Rubi

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stress beyond the linear framework of the Maxwell model to the…

Mathematical Physics · Physics 2024-02-08 Andrea Giusti , Andrea Mentrelli , Tommaso Ruggeri