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We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the heat in the thermoelectric devices. This work deals with a steady-state multidimensional thermistor problem, considering the Joule effect and both…

偏微分方程分析 · 数学 2011-11-15 Luisa Consiglieri

In the past decade, a new research frontier emerges at the interface between physics and renewable energy, termed as the inelastic thermoelectric effects where inelastic transport processes play a key role. The study of inelastic…

介观与纳米尺度物理 · 物理学 2022-07-13 Rongqian Wang , Chen Wang , Jincheng Lu , Jian-Hua Jiang

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

强关联电子 · 物理学 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within the context of nonlinear strain-limiting constitutive relation. As a special subclass of implicit relations, the thermoelastic…

数值分析 · 数学 2022-03-02 Hyun C. Yoon , Karthik K. Vasudeva , S. M. Mallikarjunaiah

We consider problems of dynamic viscoelasticity taking into account the coupling of elastic and thermal fields. Efficient approximate models are developed and computational results on thermomechanical behaviour of shape-memory-alloy…

数值分析 · 数学 2025-10-20 R. V. N. Melnik , A. J. Roberts

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

Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

软凝聚态物质 · 物理学 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a simplified viscoelastic rate-type…

偏微分方程分析 · 数学 2017-10-02 Miroslav Bulíček , Josef Málek , Vít Průša , Endre Süli

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

数学物理 · 物理学 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

We address a model for adhesive unilateral frictionless Signorini-type contact between bodies of heat-conductive viscoelastic material, in the linear Kelvin-Voigt rheology, undergoing thermal expansion. The flow-rule for debonding the…

偏微分方程分析 · 数学 2010-04-22 Riccarda Rossi , Tomas Roubicek

Technological and scientific advances have given rise to an era in which coherent quantum-mechanical phenomena can be probed and experimentally-realised over unprecedented timescales in condensed matter physics. In turn, scientific interest…

量子物理 · 物理学 2021-12-23 Marlon Brenes

A quasi-static process is realized in a purely quantum-mechanical model which is described by oscillator (or particle) systems having relative-phase interactions. Time development of a mixture of two oscillator (or particle) systems which…

统计力学 · 物理学 2016-08-31 T. Kobayashi

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

统计力学 · 物理学 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

An adhesive unilateral contact between visco-elastic heat-conductive bodies in linear Kelvin-Voigt rheology is scrutinised. The flow-rule for debonding the adhesive is considered rate independent, unidirectional, and non-associative due to…

偏微分方程分析 · 数学 2011-10-14 Riccarda Rossi , Tomas Roubicek

We consider the quasi-static magnetic hysteresis model based on a dry-friction like representation of magnetization. The model has a consistent energy interpretation, is intrinsically vectorial, and ensures a direct calculation of the…

其他凝聚态物理 · 物理学 2018-07-04 Leonid Prigozhin , Vladimir Sokolovsky , John W. Barrett , Sergey E. Zirka

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

统计力学 · 物理学 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

An irreversible thermodynamical theory of solids is presented where the kinematic quantities are defined in an automatically objective way. Namely, auxiliary elements like reference frame, reference time and reference configuration are…

经典物理 · 物理学 2015-12-22 Tamás Fülöp

A quantum analog of friction (understood as a completely positive, Markovian, translation-invariant and phenomenological model of dissipation) is known to be in odds with the detailed balance in the thermodynamic limit. We show that this is…

量子物理 · 物理学 2018-11-07 Dmitry V. Zhdanov , Denys I. Bondar , Tamar Seideman

Thermal management has become a promising field in recent years due to the limitation of energy resources and the global warming. An important topic in improving the efficiency of thermal energy utilization is how to control the flows of…

应用物理 · 物理学 2020-12-30 Fangqi Chen , Xiaojie Liu , Yanpei Tian , Duanyang Wang , Yi Zheng