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Related papers: Non-equilibrium steady state formation in 3+1 dime…

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Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

Statistical Mechanics · Physics 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that these steady states maximize a (non-universal) $H$-function. We…

Fluid Dynamics · Physics 2016-08-16 Nicolas Leprovost , Bérengère Dubrulle , Pierre-Henri Chavanis

Analytical non-perturbative study of the three-dimensional nonlinear stochastic partial differential equation with additive thermal noise, analogous to that proposed by V.N. Nikolaevskii [1]-[5]to describe longitudinal seismic waves, is…

Fluid Dynamics · Physics 2015-03-31 Jaykov Foukzon

We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures. Considering models different from those investigated in…

Mathematical Physics · Physics 2017-04-18 Eric A. Carlen , Raffaelle Esposito , Joel L. Lebowitz , Rossana Marra , Clement Mouhot

We use holography to study the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order thermal phase transition. We place the theory on a cylinder in a set of homogeneous, unstable initial states. The…

High Energy Physics - Theory · Physics 2017-07-05 Maximilian Attems , Yago Bea , Jorge Casalderrey-Solana , David Mateos , Miquel Triana , Miguel Zilhao

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

Three-dimensional numerical simulations with CO5BOLD, a new radiation hydrodynamics code, result in a dynamic, thermally bifurcated model of the non-magnetic chromosphere of the quiet Sun. The 3-D model includes the middle and low…

We investigate non-equilibrium phase coexistence associated with a first-order phase transition by numerically studying a one-dimensional Hamiltonian-Potts model with fractional spatial derivatives. The fractional derivative is introduced…

Statistical Mechanics · Physics 2026-02-04 Hitomi Endo , Michikazu Kobayashi

We report on the approach towards the hydrodynamic regime of boost-invariant N=4 super Yang-Mills plasma at strong coupling starting from various far-from-equilibrium states at tau=0. The results are obtained through numerical solution of…

High Energy Physics - Theory · Physics 2012-06-13 Michal P. Heller , Romuald A. Janik , Przemyslaw Witaszczyk

Collisionless shocks, essential for astrophysics, perhaps do not exist as statistically stationary solutions. If so, any quantitative statement about a collisionless shock should be qualified by the age of the shock. A theoretical…

High Energy Astrophysical Phenomena · Physics 2025-01-30 Andrei Gruzinov

We investigate the hydrodynamic solutions for expanding bubbles in cosmological first-order phase transitions going beyond local thermal equilibrium approximation. Under the assumption of a tangenosidal field profile, we supplement the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Tomasz Krajewski , Marek Lewicki , Ignacy Nałęcz , Mateusz Zych

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We study motion of a phase transition front at a constant temperature between stable and metastable states in fluids with the universal Van der Waals equation of state (which is valid sufficiently close to the fluid's critical point). We…

Pattern Formation and Solitons · Physics 2009-10-31 Osamu Inomoto , Shoichi Kai , Boris Malomed

Under the hypothesis of small deformations, the equations of 1D elastodynamics write as a 2 x 2 hyperbolic system of conservation laws. Here, we study the Riemann problem for convex and nonconvex constitutive laws. In the convex case, the…

Classical Physics · Physics 2022-02-08 H Berjamin , B Lombard , G Chiavassa , N Favrie

A 2-D Riemann problem is designed to study the development and dynamics of the slow shocks that are thought to form at the boundaries of reconnection exhausts. Simulations are carried out for varying ratios of normal magnetic field to the…

Space Physics · Physics 2015-05-27 Yi-Hsin Liu , J. F. Drake , M. Swisdak

We study the radial distribution of pressure, density, temperature and flow velocity fields at different times in a two dimensional hard sphere gas that is initially at rest and disturbed by injecting kinetic energy in a localized region…

Statistical Mechanics · Physics 2019-07-09 Jilmy P. Joy , R. Rajesh

We are concerned with the large time behavior of solutions to the Cauchy problem of the one-dimensional compressible micropolar fluid model without viscosity, where the far-field states of the initial data are prescribed to be different. If…

Analysis of PDEs · Mathematics 2018-06-12 Liyun Zheng , Zhengzheng Chen , Sina Zhang

According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal compressible two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable,…

Fluid Dynamics · Physics 2025-08-11 Junkai Wang , Qiaolin He

Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological…

Quantum Gases · Physics 2025-03-31 Wang Huang , Xu-Chen Yang , Rui Cao , Ying-Hai Wu , Jianmin Yuan , Yongqiang Li

Corrugation instabilities occurring for solutions of the Riemann problem in relativistic hydrodynamics in which the fluid moves with a non-zero velocity tangent to the initial discontinuity are studied numerically. We perform simulations…

Mathematical Physics · Physics 2015-05-27 Patryk Mach