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We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with a constant shear viscosity relaxation time. We…

核理论 · 物理学 2018-04-04 Gabriel S. Denicol , Jorge Noronha

The evolution of quantum gases, released from traps, are studied through hydrodynamics, both analytically and numerically, in one and two dimensions. In particular, we demonstrate the existence of long time self-similar solutions of the…

量子气体 · 物理学 2025-09-04 Ritwik Mukherjee , Abhishek Dhar , Manas Kulkarni , Samriddhi Sankar Ray

We analyse the effects of thermal conduction in a relativistic fluid, just after its departure from hydrostatic equilibrium, on a time scale of the order of thermal relaxation time. It is obtained that the resulting evolution will…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Herrera , A. Di Prisco , J. L. Hernandez-Pastora , J. Martin , J. Martinez

We report on the existence of a hydrodynamic attractor in the Mueller-Israel-Stewart framework of a fluid living in the novel geometry discovered recently by Grozdanov. This geometry, corresponding to a hyperbolic slicing of…

高能物理 - 理论 · 物理学 2026-03-17 Alexander Soloviev

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

材料科学 · 物理学 2009-11-13 Th. Voigtmann

A hydrodynamic theory is formulated for buoyancy-driven ("thermal") granular convection, recently predicted in molecular dynamic simulations and observed in experiment. The limit of a dilute flow is considered. The problem is fully…

斑图形成与孤子 · 物理学 2009-11-07 Xiaoyi He , Baruch Meerson , Gary Doolen

We present a detailed study of of a global bifurcation occuring in a turbulent von K\'arm\'an swirling flow. In this system, the statistically steady states progressively display hysteretic behaviour when the Reynolds number is increased…

We derive a system of moment-based dynamical equations that describe the 1+1d space-time evolution of a cylindrically symmetric massive gas undergoing boost-invariant longitudinal expansion. Extending previous work, we introduce an explicit…

高能物理 - 唯象学 · 物理学 2014-07-30 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

The transition between kinetic and hydrodynamic regimes of the one-dimensional two-stream instability is numerically analyzed, and the correction coefficients to the well-known textbook formulae are calculated. The approximate expressions…

等离子体物理 · 物理学 2014-08-12 K. V. Lotov , I. V. Timofeev

A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the…

统计力学 · 物理学 2021-06-22 Subhadip Chakraborti , Santhosh Ganapa , P. L. Krapivsky , Abhishek Dhar

Using the previously developed model to describe laminar/turbulent states of a viscous fluid flow, which treats the flow as a collection of coherent structures of various size (Chekmarev, Chaos, 2013, 013144), the statistical temperature of…

流体动力学 · 物理学 2015-06-19 Sergei F. Chekmarev

We consider the dynamics of a vertically stratified, horizontally-forced Kolmogorov flow. Motivated by astrophysical systems where the Prandtl number is often asymptotically small, our focus is the little-studied limit of high Reynolds…

流体动力学 · 物理学 2020-10-27 L. Cope , P. Garaud , C. P. Caulfield

We consider the hydrodynamic evolution of a quark-gluon gas with non-zero quark masses and net baryon number in its phase diagram. For far-off-equilibrium initial conditions the expansion trajectories appear to violate simple rules based on…

高能物理 - 唯象学 · 物理学 2023-05-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a periodic domain, and with resulting dynamics constrained by an…

流体动力学 · 物理学 2015-10-21 Richard Blender , Gualtiero Badin

Analytical solution of one dimensional hydrodynamical model is derived, where phase transition from the QGP state to the hadronic state is effectively taken into account. The single particle rapidity distribution of charged $\pi$ mesons…

高能物理 - 唯象学 · 物理学 2010-12-14 Naomichi Suzuki

In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost…

流体动力学 · 物理学 2023-06-21 Syo Kamata , Jakub Jankowski , Mauricio Martinez

In this work we provide analytic and numerical solutions for the Bjorken flow, a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in collisions between heavy nuclei. We…

核理论 · 物理学 2025-02-27 Daniele Simeoni , Alessandro Gabbana , Sauro Succi

We consider hydrodynamics with non conserved number of particles and show that it can be modeled with effective fluid Lagrangians which explicitly depend on the velocity potentials. For such theories, the {}``shift symetry''…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Alberto Diez-Tejedor , Alexander Feinstein

In this letter, using energy transfers, we demonstrate a route to thermalization in an isolated ensemble of realistic gas particles. We performed a grid-free classical molecular dynamics simulation of two-dimensional Lenard-Jones gas. We…

流体动力学 · 物理学 2024-08-13 Rauoof Wani , Mahendra Verma , Shashwat Nirgudkar , Sanat Tiwari

The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

偏微分方程分析 · 数学 2015-04-07 Matthias Hieber , Jan Pruess