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Accelerated cooling is a key technology in producing thermomechanically controlled processed (TMCP) steel plates. In a TMCP process hot plates are subjected to a strong cooling what results in a complex microstructure leading to increased…

Numerical Analysis · Mathematics 2019-12-30 Dimitri Rothermel , Thomas Schuster , Roland Schorr , Martin Peglow

We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent constitutive relation generalizes that for compressible…

Analysis of PDEs · Mathematics 2020-09-24 Gui-Qiang G. Chen , Paolo Secchi , Tao Wang

Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered. Specifically, a three dimensional viscoelastic…

Mathematical Physics · Physics 2019-06-03 Sandra Carillo

We study the thermodynamic properties induced by non-reciprocal interactions between stochastic degrees of freedom in time- and space-continuous systems. We show that, under fairly general conditions, non-reciprocal coupling alone implies a…

Statistical Mechanics · Physics 2021-04-29 Sarah A. M. Loos , Sabine H. L. Klapp

We evidence a Kovacs-like memory effect in a uniformly driven granular gas. A system of inelastic hard particles, in the low density limit, can reach a non-equilibrium steady state when properly forced. By following a certain protocol for…

Statistical Mechanics · Physics 2016-11-17 E. Trizac , A. Prados

We develop a resource-theoretic framework that allows one to bridge the gap between two approaches to quantum thermodynamics based on Markovian thermal processes (which model memoryless dynamics) and thermal operations (which model…

Quantum Physics · Physics 2023-10-10 Jakub Czartowski , A. de Oliveira Junior , Kamil Korzekwa

A new Thermodynamic Uncertainty Relation (TUR) is derived for systems described by linearly coupled Langevin equations in the presence of non-linear frictional forces. In our scheme, the main variable represents the velocity of a particle,…

Statistical Mechanics · Physics 2024-05-09 A. Plati , A. Puglisi , A. Sarracino

We consider vibrations of an inhomogeneous flexible structure modeled by a $1$D viscoelastic equation with Kelvin-Voigt, coupled with an expected dissipative effect : heat conduction governed by Cattaneo's law (second sound). We establish…

Analysis of PDEs · Mathematics 2015-06-08 Margareth S. Alves , Pedro R. Gamboa , G. Gorain , Amelie Rambaud , Octavio V. Vera

We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model.…

Statistical Mechanics · Physics 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio , Emmanuel Zabey

In the present paper, we study a linear thermoelastic porous material with a constitutive equation for heat flux with memory. An approximated theory of thermodynamics is presented for this model and a maximal pseudo free energy is…

Mathematical Physics · Physics 2007-05-23 Gerardo Iovane , Francesca Passarella

Recent advances in physics-augmented neural networks have enabled thermodynamically consistent data-driven constitutive modeling of complex inelastic materials. Most existing approaches, however, implicitly adopt a specific thermodynamic…

Materials Science · Physics 2026-05-28 Reese E. Jones , Jan N. Fuhg

In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation. We employ the nonlinear constitutive viscoelastic law with…

Mathematical Physics · Physics 2019-01-28 Stanisław Migórski , Paweł Szafraniec

Athermal systems across a large range of length scales, ranging from foams and granular bead packings to crumpled metallic sheets, exhibit slow stress relaxation when compressed. Experimentally they show a non-monotonic stress response when…

Soft Condensed Matter · Physics 2021-12-07 Rituparno Mandal , Diego Tapias , Peter Sollich

In this article, we study a thermodynamically consistent thermo-visco-elastic model describing the balance of internal energy in a heat-conducting inelastic body. In the considered problem, the temperature dependence appears in both the…

Analysis of PDEs · Mathematics 2025-11-13 Tomasz Cieślak , Sebastian Owczarek , Karolina Wielgos

We discuss and review several thermodynamic criteria that have been introduced to characterize the thermal stability of a self-correcting quantum memory. We first examine the use of symmetry-breaking fields in analyzing the properties of…

Quantum Physics · Physics 2015-05-13 Stefano Chesi , Daniel Loss , Sergey Bravyi , Barbara M. Terhal

This paper investigates the qualitative properties of thermoelastic plates modeled by the second-gradient theory with a Type I heat equation. We establish the exponential stability of the solutions. Our main contribution is to prove that…

Analysis of PDEs · Mathematics 2025-12-09 Jaime Muñoz Rivera , Elena Ochoa Ochoa , Ramón Quintanilla

We analyse the dynamical evolution of a fluid with non-linear drag, for which binary collisions are elastic, described at the kinetic level by the Enskog-Fokker-Planck equation. This model system, rooted in the theory of non-linear Brownian…

Soft Condensed Matter · Physics 2024-03-26 A. Patrón , B. Sánchez-Rey , A. Prados

In this paper we address a model coupling viscoplasticity with damage in thermoviscoelasticity. The associated PDE system consists of the momentum balance with viscosity and inertia for the displacement variable, at small strains, of the…

Analysis of PDEs · Mathematics 2017-01-03 Riccarda Rossi

We introduce an algorithmic model of heat conduction, the thermodynamic graph. The thermodynamic graph is analogous to meshes in the finite difference method in the sense that the calculation of temperature is carried out at the vertices of…

Computational Engineering, Finance, and Science · Computer Science 2018-02-02 O. Kurganskyy , A. J. Maksimova

One of the ways natural and synthetic systems regulate temperature is via circulating fluids through vasculatures embedded within their bodies. Because of the flexibility and availability of proven fabrication techniques, vascular-based…

Numerical Analysis · Mathematics 2023-03-14 K. B. Nakshatrala , K. Adhikari