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We extend the derivation of second-order relativistic viscous hydrodynamics to incorporate the effects of baryon current, a non-vanishing chemical potential, and a realistic equation of state. Starting from a microscopic quantum theory, we…

High Energy Physics - Phenomenology · Physics 2024-12-10 Asaad Daher , Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

We study the thermal partition function of quantum field theories on arbitrary stationary background spacetime, and with arbitrary stationary background gauge fields, in the long wavelength expansion. We demonstrate that the equations of…

High Energy Physics - Theory · Physics 2015-06-04 Nabamita Banerjee , Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Sachin Jain , Shiraz Minwalla , Tarun Sharma

In this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid, following the procedure described in…

High Energy Physics - Theory · Physics 2015-06-03 Sayantani Bhattacharyya

We provide a complete derivation of hydrodynamic equations for nonrelativistic systems based on quantum field theories of spinless Schr\"odeinger fields, assuming that an initial density operator takes a special form of the local Gibbs…

Statistical Mechanics · Physics 2021-10-07 Masaru Hongo

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar

We extend Onsager's minimum dissipation principle to stationary states that are only subject to local equilibrium constraints, even when the transport coefficients depend on the thermodynamic forces. Crucial to this generalization is a…

Statistical Mechanics · Physics 2023-07-19 Giorgio Sonnino , Jarah Evslin , Alberto Sonnino

We construct the theory of dissipative hydrodynamics of uncharged fluids living on embedded space-time surfaces to first order in a derivative expansion in the case of codimension-1 surfaces (including fluid membranes) and the theory of…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas

In hydrodynamics the existence of an entropy current with non-negative divergence is related to the existence of a time-independent solution in a static background. Recently there has been a proposal for how to construct an entropy current…

High Energy Physics - Theory · Physics 2015-06-19 Sayantani Bhattacharyya

We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic…

High Energy Physics - Theory · Physics 2015-02-03 Nabamita Banerjee , Suvankar Dutta , Akash Jain , Dibakar Roychowdhury

We study Euler scale hydrodynamics of massless integrable quantum field theories interpolating between two non-trivial renormalisation group fixed points after inhomogeneous quantum quenches. Using a partitioning protocol with left and…

Statistical Mechanics · Physics 2020-01-08 David X. Horvath

Existing hydrodynamic models of charged fluids consider any external electric field acting on the fluid as either first order in the hydrodynamic derivative expansion and completely arbitrary or zeroth order but constrained by the fluid's…

High Energy Physics - Theory · Physics 2023-06-16 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation…

Nuclear Theory · Physics 2022-01-19 Sukanya Mitra

The complete set of transport coefficients for two dimensional relativistic degenerate gases is derived within a relaxation approximation in kinetic theory, by considering both the particle and energy frames. A thorough comparison between…

Quantum Gases · Physics 2021-10-08 A. R. Mendez , A. L. Garcia-Perciante , G. Chacon-Acosta

We present a new derivation of relativistic dissipative hydrodynamic equations, which invokes the second law of thermodynamics for the entropy four-current expressed in terms of the single-particle phase-space distribution function obtained…

Nuclear Theory · Physics 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

Balance equations are derived from Enskog's kinetic equation for a two-dimensional system of hard disks using Grad's moment expansion method. This set of equations constitute an extended hydrodynamics for moderately dense bi-dimensional…

Statistical Mechanics · Physics 2015-06-25 Hideaki Ugawa , Patricio Cordero

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

Statistical Mechanics · Physics 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi

The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at…

High Energy Physics - Theory · Physics 2012-11-06 Manuel Valle

We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the…

High Energy Physics - Theory · Physics 2017-10-06 Sašo Grozdanov , Nikolaos Kaplis
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