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We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space. A rarefaction wave and its superposition with a…

Analysis of PDEs · Mathematics 2020-09-24 Ling Wan , Tao Wang , Huijiang Zhao

We extend our analysis of a IIB supergravity solution dual to a spatially anisotropic finite-temperature N=4 super Yang-Mills plasma. The solution is static, possesses an anisotropic horizon, and is completely regular. The full geometry can…

High Energy Physics - Theory · Physics 2011-11-10 David Mateos , Diego Trancanelli

We study the behavior of the stationary velocity of a driven particle in an environment of mobile hard-core obstacles. Based on a lattice gas model, we demonstrate analytically that the drift velocity can exhibit a nonmonotonic dependence…

Statistical Mechanics · Physics 2015-06-23 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

(abbreviated) The statistical mechanics of self-gravitating systems is a long-held puzzle. In this work, we employ a phenomenological entropy form of ideal gas, first proposed by White & Narayan, to revisit this issue. By calculating the…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-09 Ping He , Dong-Biao Kang

The relaxation rate of a Maxwellian velocity distribution function that has an initially anisotropic temperature $(T_\parallel \neq T_\perp)$ is an important physical process in space and laboratory plasmas. It is also a canonical example…

Plasma Physics · Physics 2017-06-07 Scott D. Baalrud , Jerome Daligault

We describe the quantum dynamics of a magnetic rigid rotor in the mesoscopic scale where the Einstein-De Haas effect is predominant. In particular, we consider a single-domain magnetic nanoparticle with uniaxial anisotropy in a magnetic…

Quantum Physics · Physics 2017-04-14 Cosimo C. Rusconi , Oriol Romero-Isart

Recent in-situ and remote observations suggest that the transport regime associated with shock accelerated particles may be anomalous {i.e., the Mean Square Displacement (MSD) of such particles scales non-linearly with time}. We use…

Space Physics · Physics 2019-10-23 D. Trotta , D. Burgess , G. Prete , S. Perri , G. Zimbardo

Motivated by explosive releases of energy in fusion, space and astrophysical plasmas, we consider the nonlinear stability of stratified magnetohydrodynamic (MHD) equilibria against two-dimensional interchanges of straight magnetic-flux…

High Energy Astrophysical Phenomena · Physics 2024-12-10 David N. Hosking , David Wasserman , Steven C. Cowley

We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a…

Statistical Mechanics · Physics 2020-06-17 Ion Santra , Urna Basu , Sanjib Sabhapandit

We study and characterize a new dynamical regime of underdamped particles in a tilted washboard potential. We find that for small friction in a finite range of forces the particles move essentially nondispersively, that is, coherently, over…

Statistical Mechanics · Physics 2015-06-25 Katja Lindenberg , J. M. Sancho , A. M. Lacasta , I. M. Sokolov

Suspensions of self-motile, elongated particles are a topic of significant current interest, exemplifying a form of `active matter'. Examples include self-propelling bacteria, algae and sperm, and artificial swimmers. Ericksen's model of a…

This paper is devoted to the analysis of a singular perturbation problem for a $2$-D incompressible MHD system with density variations and Coriolis force, in the limit of small Rossby numbers. Two regimes are considered. The first one is…

Analysis of PDEs · Mathematics 2019-12-10 Dimitri Cobb , Francesco Fanelli

Semi-analytic models of self-gravitating discs often approximate the angular momentum transport generated by the gravitational instability using the phenomenology of viscosity. This allows the employment of the standard viscous evolution…

Solar and Stellar Astrophysics · Physics 2015-05-19 Duncan Forgan , Ken Rice , Peter Cossins , Giuseppe Lodato

We perform numerical simulations of solid particle motion in a shearing box model of a protoplanetary disc. The accretion flow is turbulent due to the action of the magnetorotational instability. Aerodynamic drag on the particles is…

Astrophysics · Physics 2009-11-13 Augusto Carballido , James M. Stone , Neal J. Turner

Within the relaxation time approximation under a constant mass profile, we investigate the collective dynamics of a system of massive relativistic particles described by the Maxwell-Boltzmann equilibrium distribution. We analytically derive…

Nuclear Theory · Physics 2025-07-16 Ali Hataei , Roya Heydari , Farid Taghinavaz

Rotation is one of the key physical mechanisms that deeply impact the evolution of stars. Helio- and asteroseismology reveal a strong extraction of angular momentum from stellar radiation zones over the whole Hertzsprung-Russell diagram.…

Solar and Stellar Astrophysics · Physics 2018-11-28 Stéphane Mathis , Vincent Prat , Louis Amard , Corinne Charbonnel , Ana Palacios , Nadège Lagarde , Patrick Eggenberger

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson

The two-phase horizontally periodic quasistationary Stokes flow in $\mathbb{R}^2$, describing the motion of two immiscible fluids with equal viscosities that are separated by a sharp interface, which is parameterized as the graph of a…

Analysis of PDEs · Mathematics 2024-06-12 Daniel Böhme , Bogdan-Vasile Matioc

The problem of anomalous scaling in magnetohydrodynamics turbulence is considered within the framework of the kinematic approximation, in the presence of a large-scale background magnetic field. The velocity field is Gaussian,…

Chaotic Dynamics · Physics 2009-10-31 N. V. Antonov , A. Lanotte , A. Mazzino
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