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The relativistic hydrodynamic system of equations for a perfect fluid obeying a causal equation of state is hyperbolic (Anile 1989 {\it Relativistic Fluids and Magneto-Fluids} (Cambridge: Cambridge University Press)). In this report, we…

General Relativity and Quantum Cosmology · Physics 2013-02-18 José María Ibáñez , Isabel Cordero-Carrión , José María Martí , Juan Antonio Miralles

Within the Lindblad formalism we consider an interacting spin chain coupled locally to heat baths. We investigate the dependence of the energy transport on the type of interaction in the system as well as on the overall interaction…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Michael Hartmann , Jochen Gemmer , Guenter Mahler

The formulation of a dynamical theory of General Relativity, including matter, is viewed as a problem of coupling Einstein's theory of pure gravity, formulated as an action principle, to an independently chosen and well defined field theory…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Christian Frønsdal

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

We use standard techniques of hydrodynamics to construct a relativistic effective field theory for the low energy dynamics of nearly critical superfluids. In an appropriate non-relativistic limit, our theory predicts an additional…

High Energy Physics - Theory · Physics 2025-12-24 Aristomenis Donos , Polydoros Kailidis

New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with Radiative Transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for…

Numerical Analysis · Mathematics 2021-07-30 F. Golse , O. Pironneau

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous…

Mathematical Physics · Physics 2009-10-06 Victor M. Bogdan

Despite its intrinsic non-equilibrium origin, thermoelectricity in nanoscale systems is usually described within a static scattering approach which disregards the dynamical interaction with the thermal baths that maintain energy flow. Using…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. Dubi , M. Di Ventra

We consider a quantum Hall system with an antidot acting as an energy dependent scatterer. In the purely charge case, we find deviations from the Wiedemann-Franz law that take place in the nonlinear regime of transport. We also discuss…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Rosa Lopez , Sun-Yong Hwang , David Sanchez

It was known that a free, nonrelativistic particle in a superposition of positive momenta can, in certain cases, bear a negative probability current --- hence termed quantum backflow. Here, it is shown that more variations can be brought…

Quantum Physics · Physics 2018-11-14 Hong-Yi Su , Jing-Ling Chen

Two formulations of superfluidity are reviewed: Landau's phenomenological two-fluid model and a relativistic effective field theory description. We demonstrate how the two-fluid formalism can be recovered from the nonrelativistic limit of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 Aline Favero , Heliudson Bernardo

Thermodynamics is usually formulated on the presumption that the observer has complete information about the system he/she deals with: no parasitic current, exact evaluation of the forces that drive the system. For example, the acclaimed…

Statistical Mechanics · Physics 2017-12-15 Matteo Polettini , Massimiliano Esposito

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

Thermodynamic principles are often deceptively simple and yet surprisingly powerful. We show how a simple rule, such as the net flow of energy in and out of a moving atom under nonequilibrium steady state condition, can expose the…

Quantum Physics · Physics 2020-11-30 Daniel Reiche , Francesco Intravaia , Jen-Tsung Hsiang , Kurt Busch , Bei-Lok Hu

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

Statistical Mechanics · Physics 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

It is shown that the universal steady Euler flow field, independent of boundary shape or symmetry, in a toroidal domain with fixed boundary obeys a nonlinear Beltrami equation, with the nonlinearity arising from a Boltzmann-like,…

Fluid Dynamics · Physics 2017-08-22 Naoki Sato , Robert L. Dewar

People are well aware that, inherently, certain small-scale nonchaotic particle movements are not governed by thermodynamics. Usually, such phenomena are studied by kinetic theory and their energy properties are considered "trivial". In…

Statistical Mechanics · Physics 2025-08-05 Yu Qiao , Zhaoru Shang

The evaluation of hydrodynamic transport coefficients in relativistic field theory, and the emergence of an effective kinetic theory description, is examined. Even in a weakly-coupled scalar field theory, interesting subtleties arise at…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon , Laurence G. Yaffe

In this Letter, we show numerically that the rectifying effect of heat flux in a one-dimensional two-segment Frenkel-Kontorova chain demonstrated in recent literature is merely available under the limit of the weak coupling between the two…

Statistical Mechanics · Physics 2011-07-26 Bambi Hu , Lei Yang , Yong Zhang

Relativistic mirrors can be realized with strongly nonlinear Langmuir waves excited by intense laser pulses in underdense plasma. On reflection from the relativistic mirror the incident light affects the mirror motion. The corresponding…