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In this paper, we discuss one dimensional inelastic relativistic-collisions in the framework of the relativistic kinetic theory. In particular, we focus on the relativistic effects on time evolutions of the temperature and flow velocity…

Nuclear Theory · Physics 2015-01-05 Ryosuke Yano , Arnaud Martin

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

High Energy Physics - Theory · Physics 2015-06-05 Pavel Kovtun

Our recent theoretical developments related to the nonrelativistic and relativistic fluctuation-electromagnetic interactions of bodies with different temperatures moving translationally and (or) rotationally relative to each other are…

Mesoscale and Nanoscale Physics · Physics 2020-02-11 George Dedkov , Arthur Kyasov

We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. The latter is modeled by a massless scalar field in a thermal state. We consider two different couplings of…

Quantum Physics · Physics 2020-10-14 Nikolaos Papadatos , Charis Anastopoulos

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

Analysis of PDEs · Mathematics 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

We study the two-dimensional Langevin dynamics of a two-component system, whose components are in contact with heat baths kept at different temperatures. Dynamics is constrained by an optical trap and the \text{dissimilar} species interact…

Statistical Mechanics · Physics 2023-01-11 Victor S Dotsenko , Pascal Viot , Alberto Imparato , Gleb Oshanin

The thermal resistance associated with the interface between a solid and a liquid is analyzed from an atomistic point of view. Partial evaluation of the associated Green-Kubo integral elucidates the various factors governing heat transport…

Statistical Mechanics · Physics 2022-01-26 Nicolas G. Hadjiconstantinou , Mathew M. Swisher

Starting from a microscopic approach, we develop a covariant formalism to describe a set of interacting gases. For that purpose, we model the collision term entering the Boltzmann equation for a class of interactions and then integrate this…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Philippe Uzan

Classical relativistic field theory is applied to perfect and magneto-hydrodynamic flows. The fields for Hamilton's principle are shown to be the Lagrangian coordinates of the fluid elements, which are potentials for the matter current…

General Physics · Physics 2007-05-23 Sylvan A. Jacques

According to standard thermophysical theories, cross effects are mostly present in multicomponent systems. In this paper we show that for relativistic fluids an electric field generates a heat flux even in the single component case. In the…

General Relativity and Quantum Cosmology · Physics 2013-07-24 A. L. Garcia-Perciante , A. Sandoval-Villalbazo , L. S. Garcia-Colin

The linear stability of the homogeneous equilibrium of non-relativistic fluids with mass flux and special relativistic fluids with the absolute value of the energy vector as internal energy is investigated. It is proved that the equilibrium…

Nuclear Theory · Physics 2011-07-14 P. Ván

We consider an imperfect relativistic fluid which develops a shock wave and discuss its structure and thickness, taking into account the effects of viscosity and heat conduction in the form of sound absorption. The junction conditions and…

Astrophysics · Physics 2008-11-26 Jose A. S. Lima , Alejandra Kandus , Reuven Opher

Interacting fluids, endowed with bulk viscous stresses, are discussed in a unified perspective with the aim of generalizing the treatment of cosmological perturbation theory to the case where both fluctuating decay rates and fluctuating…

Astrophysics · Physics 2009-11-24 Massimo Giovannini

A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new…

Nuclear Theory · Physics 2024-06-04 Lorenzo Gavassino , Marcelo M. Disconzi , Jorge Noronha

A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equation is proposed in the form that the collision integral is a…

Analysis of PDEs · Mathematics 2026-03-31 Kazuo Aoki , Niclas Bernhoff

The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the…

General Relativity and Quantum Cosmology · Physics 2011-07-21 A. L. Garcia-Perciante , A. R. Mendez

This note provides a comprehensive examination of the various approaches to formulating relativistic hydrodynamics, with a particular emphasis on the canonical approach. Relativistic hydrodynamics plays a crucial role in understanding the…

High Energy Physics - Theory · Physics 2025-02-11 Luca Martinoia , Rajeev Singh

Studying systems where many individual bodies in motion interact with one another is a complex and interesting area. Simple mechanisms that may be determined for biological, chemical, or physical reasons can lead to astonishingly complex…

Quantitative Methods · Quantitative Biology 2023-01-03 Cameron McNamee , Renee Reijo Pera

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

Weakly interacting quantum fluids allow for a natural kinetic theory description which takes into account the fermionic or bosonic nature of the interacting particles. In the simplest cases, one arrives at the Boltzmann-Nordheim equations…

Mathematical Physics · Physics 2017-12-19 Jani Lukkarinen
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