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We introduce thermodynamic networks, a general framework for autonomous, physics-based computation using non-equilibrium steady states. These networks are modeled as a collection of finite-size reservoirs that exchange conserved…

The thermodynamic uncertainty relations provide a universal trade-offs between entropy dissipation rate and fluctuations in transport current. This relation has been mostly used to estimate a minimum entropy dissipation rate by…

统计力学 · 物理学 2019-11-25 Jiawei Yan

A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the thermodynamical systems with the additive multi-step Markov…

数据分析、统计与概率 · 物理学 2007-05-23 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

We describe the crossover from generalized hydrodynamics to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically in general. When integrability is…

统计力学 · 物理学 2020-05-13 Aaron J. Friedman , Sarang Gopalakrishnan , Romain Vasseur

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

核理论 · 物理学 2013-05-22 Amaresh Jaiswal

Despite a long record of intense efforts, the basic mechanisms by which dissipation emerges from the microscopic dynamics of a relativistic fluid still elude a complete understanding. In particular, no unique pathway from kinetic theory to…

计算物理 · 物理学 2017-08-16 A. Gabbana , M. Mendoza , S. Succi , R. Tripiccione

Dissipative relativistic fluid dynamics is not always causal and can favor superluminal signal propagation under certain circumstances. On the other hand, high-energy nuclear collisions have a microscopic description in terms of QCD and are…

核理论 · 物理学 2018-09-26 Stefan Floerchinger , Eduardo Grossi

We study the existence and the rate of equilibration of weak solutions to a two-component system of non-linear diffusion-aggregation equations, with small cross diffusion effects. The aggregation term is assumed to be purely attractive, and…

偏微分方程分析 · 数学 2024-06-17 Daniel Matthes , Christian Parsch

The connection between the balance structure of the evolution equations of higher order fluxes and different forms of the entropy current is investigated on the example of rigid heat conductors. Compatibility conditions of the theories are…

其他凝聚态物理 · 物理学 2016-08-31 V. Ciancio , V. A. Cimmelli , P. Ván

We formulate dissipative magnetohydrodynamic equations for finite-temperature superfluid and superconducting charged relativistic mixtures, taking into account the effects of particle diffusion and possible presence of Feynman-Onsager…

高能天体物理现象 · 物理学 2021-12-15 Vasiliy A. Dommes , Mikhail E. Gusakov

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in…

高能物理 - 唯象学 · 物理学 2023-04-26 Victor E. Ambrus , S. Schlichting , C. Werthmann

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a.…

统计力学 · 物理学 2015-06-17 B. Gaveau , L. Granger , M. Moreau , L. S. Schulman

Simple, self-similar, analytic solutions of 1+1 dimensional relativistic hydrodynamics are presented, generalizing Bjorken's solution to inhomogeneous rapidity distribution.

高能物理 - 唯象学 · 物理学 2008-11-26 T. Csorgo , F. Grassi , Y. Hama , T. Kodama

The causality and stability of a relativistic hydrodynamic theory is shown to require a consensus between, either (i) newer degrees of freedom apart from the fundamental fluid fields, or (ii) a general hydrodynamic frame other than the…

核理论 · 物理学 2025-08-25 Sukanya Mitra

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

核理论 · 物理学 2017-08-07 Radoslaw Ryblewski

Effects of dynamical long-range correlations over a fluid cell size scale on a relativistic fluid are discussed. It is shown that such correlations among the fluid elements introduced into hydrodynamical model induce some weak dissipation…

核理论 · 物理学 2010-04-06 T. Osada

We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and…

核理论 · 物理学 2021-04-07 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

The non-extensive self-consistent theory describing the thermodynamics of hadronic systems at high temperatures is used to derive some thermodynamical quantities, as pressure, entropy, speed of sound and trace-anomaly. The calculations are…

高能物理 - 唯象学 · 物理学 2013-03-05 Airton Deppman

We use a macroscopic description of a system of relativistic particles based on adding a nonequilibrium tensor to the usual hydrodynamic variables. The nonequilibrium tensor is linked to relativistic kinetic theory through a nonlinear…

核理论 · 物理学 2015-06-12 J. Peralta-Ramos , E. Calzetta

We introduce non-trivial contributions to diffusion constant in generic many-body systems arising from quadratic fluctuations of ballistically propagating, i.e. convective, modes. Our result is obtained by expanding the current operator in…

统计力学 · 物理学 2020-11-25 Marko Medenjak , Jacopo De Nardis , Takato Yoshimura