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This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

混沌动力学 · 物理学 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

We consider a system of partial differential equations describing mass transport in a multicomponent isothermal compressible fluid. The diffusion fluxes obey the Fick-Onsager or Maxwell-Stefan closure approach. Mechanical forces result into…

偏微分方程分析 · 数学 2020-01-27 Dieter Bothe , Pierre-Etienne Druet

This thesis reports progress in two domains, causal structures and microscopic thermodynamics, both of which are pertinent in the development of quantum technologies. The first part is dedicated to the analysis of causal structure, which…

量子物理 · 物理学 2018-07-18 Mirjam Weilenmann

We discuss a relativistic model for heat conduction, building on a convective variational approach to multi-fluid systems where the entropy is treated as a distinct dynamical entity. We demonstrate how this approach leads to a relativistic…

广义相对论与量子宇宙学 · 物理学 2011-02-11 C. S. Lopez-Monsalvo , N. Andersson

The principle called information causality has been used to deduce Tsirelson's bound. In this paper we derive information causality from monotonicity of divergence and relate it to more basic principles related to measurements on…

量子物理 · 物理学 2020-02-10 Peter Harremoës

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads…

高能物理 - 唯象学 · 物理学 2017-05-03 Milton Aguilar , Esteban Calzetta

The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium states. Similarly, a lift of the GENERIC structure to iterated…

统计力学 · 物理学 2022-12-21 Ogul Esen , Miroslav Grmela , Michal Pavelka

Fluctuation-Dissipation Relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices'' which determine the…

流体动力学 · 物理学 2007-05-23 F. Vazquez , M. A. Olivares-Robles , S. Delgado

The one-dimensional blast waves in a rarefied polyatomic gas with large bulk viscosity are studied based on rational extended thermodynamics (RET) with six independent fields: mass density, velocity, (equilibrium) pressure, and dynamic…

流体动力学 · 物理学 2025-08-22 Shigeru Taniguchi

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

广义相对论与量子宇宙学 · 物理学 2008-11-26 A. B. Balakin

Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we introduce a three-dimensional canonical…

统计力学 · 物理学 2015-06-15 Malihe Ghodrat , Afshin Montakhab

The vacuum entanglement entropy of Maxwell theory, when evaluated by standard methods, contains an unexpected term with no known statistical interpretation. We resolve this two-decades old puzzle by showing that this term is the…

高能物理 - 理论 · 物理学 2016-03-24 William Donnelly , Aron C. Wall

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

偏微分方程分析 · 数学 2017-10-13 Hélène Mathis

The formulation of a universal theory for bulk viscosity and heat conduction represents a theoretical challenge for our understanding of relativistic fluid dynamics. Recently, it has been shown that the multifluid variational approach…

广义相对论与量子宇宙学 · 物理学 2020-10-15 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

Over the past decades, research on two-dimensional melting has established that both first-order and continuous hexatic-liquid transitions can occur, influenced by various factors in the potential energy and system details. The fundamental…

统计力学 · 物理学 2026-01-27 Yan-Wei Li , Rui Ding , Wen-Hao Ma

We study two relaxation problems in the class of partially dissipative hyperbolic systems: the compressible Euler system and the compressible Euler-Maxwell system. In classical Sobolev spaces, we derive a global convergence rate of…

偏微分方程分析 · 数学 2025-10-02 Timothée Crin-Barat , Yue-Jun Peng , Ling-Yun Shou

The causality of dissipative phenomena can not be treated in traditional theories of dissipations, Fourier laws and Navier-Stokes equations. This is the reason why the dissipative phenomena have not been studies well in relativistic…

广义相对论与量子宇宙学 · 物理学 2017-05-17 Hiromi Saida

In the first part of the present work, we focus on the theory of gravitoelectromagnetism (GEM), and we derive the full set of equations and constraints that the GEM scalar and vector potentials ought to satisfy. We discuss important aspects…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Athanasios Bakopoulos , Panagiota Kanti

We investigate Maxwell-scalar models on radially symmetric spacetimes in which the gauge and scalar fields are coupled via the electric permittivity. We find the conditions that allow for the presence of minimum energy configurations. In…

广义相对论与量子宇宙学 · 物理学 2025-01-22 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes , G. J. Olmo