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The diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains are explicitly characterized. Their compatibility with previously introduced reductions of differential type is analyzed and their associated class of…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 L. Martinez Alonso , A. B. Shabat

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

Statistical Mechanics · Physics 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions, which is developed in a series of works by the three first…

Analysis of PDEs · Mathematics 2016-11-08 Guy Barles , Ariela Briani , Emmanuel Chasseigne , Cyril Imbert

This work is a follow-up on [GOVW]. In that previous work a two-scale approach was used to prove the logarithmic Sobolev inequality for a system of spins with fixed mean whose potential is a bounded perturbation of a Gaussian, and to derive…

Probability · Mathematics 2013-05-30 Max Fathi

We present a systematic method for constructing two-dimensional magnetohydrodynamic equilibria with compressible flow in Cartesian geometry. This systematic method has already been developed in spherical geometry and applied in modelling…

Astrophysics · Physics 2009-11-07 Gordon Petrie , Nektarios Vlahakis , Kanaris Tsinganos

The basic physical assumptions and results of Landau's hydrodynamic model of particle production are reviewed. It is argued that these results have a substantial descriptive and predictive power in strong-interaction phenomenology,…

Nuclear Experiment · Physics 2009-11-10 Peter Steinberg

Stimulated by the methods applied for the observational determination of masses in the central regions of the AGNs, we examine the conditions under which, in the interior of a gravitating perfect fluid source, the geodesic motions and the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Kleidis , N. K. Spyrou

In the present work we set up a general functional renormalisation group framework for the computation of complex effective actions. For explicit computations we consider both flows of the Wilsonian effective action and the one-particle…

High Energy Physics - Theory · Physics 2023-08-30 Friederike Ihssen , Jan M. Pawlowski

In this paper the analogy between a thermal engine and a waterwheel is developed in details, showing that the analogous of the flow of water in an hydraulic engine is the flow of entropy in a thermal one. This analogy mat serve to analyse…

General Physics · Physics 2016-11-01 Franco Bagnoli

Transport is one of the most important physical processes in all energy and length scales. Ideal gases and hydrodynamics are, respectively, two opposite limits of transport. Here, we present an unexpected mathematical connection between…

Quantum Gases · Physics 2021-12-13 Zhe-Yu Shi , Chao Gao , Hui Zhai

We compute the hydrodynamic relaxation times $\tau_\pi$ and $\tau_j$ for hot QCD at next-to-leading order in the coupling with kinetic theory. We show that certain dimensionless ratios of second-order to first-order transport coefficients…

High Energy Physics - Phenomenology · Physics 2018-08-02 Jacopo Ghiglieri , Guy D. Moore , Derek Teaney

We treat the guiding-center dynamics in a varying external Maxwell field using a relativistically covariant action principle which reproduces the known Vandervoort expression for the drift velocity and extends it to curved spacetime. We…

Nuclear Theory · Physics 2024-10-03 Dam Thanh Son , Mikhail Stephanov

The construction of a generalized (higher-order) nonlinear thermo-hydrodynamics, based on a nonequilibrium ensemble formalism has been presented in the preceding article. The working of such theory is illustrated in the present one. We…

Statistical Mechanics · Physics 2007-05-23 J. Galvão Ramos , Áurea R. Vasconcellos , Roberto Luzzi

It is argued that the short time scale phenomena can be studied within the framework of hydrodynamics in the quark-gluon plasma. There are two different versions of the hydrodynamic-like equations in the literature. In this work we discuss…

High Energy Physics - Phenomenology · Physics 2011-05-12 Abhishek Basak , Jitesh R. Bhatt , Predhiman K. Kaw

We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in Cartesian coordinate systems. We couple the two fluids through the continuity equation where different…

Fluid Dynamics · Physics 2021-09-28 I. F. Barna , Mátyás László

We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the…

Statistical Mechanics · Physics 2025-01-07 Clément Erignoux , Alexandre Roget , Assaf Shapira , Marielle Simon

Motion planning for vehicles under the influence of flow fields can benefit from the idea of streamline-based planning, which exploits ideas from fluid dynamics to achieve computational efficiency. Important to such planners is an efficient…

Robotics · Computer Science 2021-03-24 K. Y. Cadmus To , Chanyeol Yoo , Stuart Anstee , Robert Fitch

It is shown that low Reynolds number fluid flows can cause suspended particles to respond as though they were in an equilibrium system with an effective potential. This general result follows naturally from the fact that different methods…

Soft Condensed Matter · Physics 2019-06-19 Todd M. Squires

Euler hydrodynamics of perfect fluids can be viewed as an effective bosonic field theory. In cases when the underlying microscopic system involves Dirac fermions, the quantum anomalies should be properly described. In 1+1 dimensions the…

High Energy Physics - Theory · Physics 2024-07-17 Alexander G. Abanov , Andrea Cappelli

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body systems, quantum or classical. It is a gradient series expansion, where different orders of spatial derivatives provide an effective description on…

Statistical Mechanics · Physics 2023-06-07 Jacopo De Nardis , Benjamin Doyon