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The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi

By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We…

High Energy Physics - Theory · Physics 2019-02-06 D. O. Rybalka , E. V. Gorbar , I. A. Shovkovy

We find hydrodynamic behavior in large simply spinning five-dimensional Anti-de Sitter black holes. These are dual to spinning quantum fluids through the AdS/CFT correspondence constructed from string theory. Due to the spatial anisotropy…

High Energy Physics - Theory · Physics 2021-02-03 Markus Garbiso , Matthias Kaminski

Two identical particles driven by the same steady force through a viscous fluid may move relative to one another due to hydrodynamic interactions. The presence or absence of this relative translation has a profound effect on the dynamics of…

Soft Condensed Matter · Physics 2021-05-04 Yulia Sokolov , Haim Diamant

Contributions of the current-current and Darwin interactions and weak-relativistic addition to kinetic energy in the quantum hydrodynamic equations are considered. Features of hydrodynamic equations for two-dimensional layer of plasma…

Plasma Physics · Physics 2014-07-02 Pavel Andreev , Alexey Ivanov , Leonid Kuz'menkov

We consider attractive particle systems in $\Z^d$ with product invariant measures. We prove that when particles are restricted to a subset of $\Z^d$, with birth and death dynamics at the boundaries, the hydrodynamic limit is given by the…

Probability · Mathematics 2011-09-05 Christophe Bahadoran

We construct the first order hydrodynamics of quantum critical points with Lifshitz scaling and a spontaneously broken symmetry. The fluid is described by a combination of two flows, a normal component that carries entropy and a super-flow…

High Energy Physics - Theory · Physics 2014-10-13 Shira Chapman , Carlos Hoyos , Yaron Oz

In this work, we extend the formalism of second-order relativistic dissipative hydrodynamics, developed previously using Zubarev's non-equilibrium statistical operator formalism. By employing a second-order expansion of the statistical…

Nuclear Theory · Physics 2025-11-17 Arus Harutyunyan , Armen Sedrakian

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the…

High Energy Physics - Theory · Physics 2011-08-23 Nabamita Banerjee , Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Suvankar Dutta , R. Loganayagam , P. Surówka

We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range…

Statistical Mechanics · Physics 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical…

High Energy Physics - Theory · Physics 2021-08-11 Daniel Arean , Richard A. Davison , Blaise Goutéraux , Kenta Suzuki

Dissipation anomaly-the persistence of finite energy dissipation in the inviscid limit-is a hallmark of turbulence, sometimes regarded as the "zeroth law" of turbulent flows. Here, we demonstrate that this phenomenon is not exclusive to…

Statistical Mechanics · Physics 2025-11-25 Hiroyoshi Nakano , Yuki Minami

Event-by-event hydrodynamics (or hydrodynamics with fluctuating initial conditions) has been developed in the past few years. Here we discuss how it may help to understand the various structures observed in two-particle correlations.

High Energy Physics - Phenomenology · Physics 2011-03-17 R. P. G. Andrade , F. Grassi , Y. Hama , W. -L. Qian

In the context of quantum field theory, an anomaly exists when a theory has a classical symmetry which is not a symmetry of the quantum theory. This short exposition aims at introducing a new point of view, which is that the proper setting…

High Energy Physics - Theory · Physics 2015-06-03 Ian G. Moss

We derive the total helicity conservation law for a perfect electromagnetic relativistic fluid. As the conservation equation contains the derivative of the magnetic helicity, it can be reshaped as having the same form as the chiral anomaly…

High Energy Physics - Phenomenology · Physics 2023-06-14 Cristina Manuel , Juan M. Torres-Rincon

We formulate the equations of fluid dynamics as an intersection-theoretic problem on an infinite-dimensional symplectic manifold naturally associated with spacetime. This perspective separates the structures determined by the equation of…

High Energy Physics - Theory · Physics 2026-05-18 Nikita Nekrasov , Paul Wiegmann

We show that the dynamical stability under linear perturbations of interacting systems in the hydrodynamic regime follows from the first and the second laws of thermodynamics. Our argument extends to systems with spontaneously or softly…

High Energy Physics - Theory · Physics 2024-07-12 Blaise Goutéraux , Eric Mefford

We consider quantum mechanics written in hydrodynamic formulation for the case of relativistic spinor fields to study their velocity: within such a hydrodynamic formulation it is possible to see that the velocity as is usually defined can…

Quantum Physics · Physics 2023-05-15 Luca Fabbri

In this paper, based on the basic principles of thermodynamics, we explore the hydrodynamic regime of interacting Lifshitz field theories in the presence of broken rotational invariance. We compute the entropy current and discover new…

High Energy Physics - Theory · Physics 2019-06-05 Dibakar Roychowdhury

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn
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