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Supersonic turbulence is a large reservoir of suprathermal energy in the interstellar medium. Its dissipation, because it is intermittent in space and time, can deeply modify the chemistry of the gas. We further explore a hybrid method to…

Astrophysics of Galaxies · Physics 2009-11-13 Benjamin Godard , Edith Falgarone , Guillaume Pineau Des Forêts

We present results from extensive numerical integration of the KPZ equation in $1 + 1$ dimensions aimed to check the long-time behavior of the dynamical structure factor of that system. Over a number of decades in the size of the structure…

Statistical Mechanics · Physics 2008-04-21 Eytan Katzav , Moshe Schwartz

Relativistic irreversible thermodynamics is reformulated following the conventional approach proposed by Meixner in the non-relativistic case. Clear separation between mechanical and non-mechanical energy fluxes is made. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. S. Garcia-Colin , A. Sandoval-Villalbazo

We study numerically and analytically the dynamics of a single directed elastic string driven through a 3-dimensional disordered medium. In the quasistatic limit the string is super-rough in the driving direction, with roughness exponent…

Disordered Systems and Neural Networks · Physics 2022-07-04 Federico Elías , Kay Jörg Wiese , Alejandro B. Kolton

A perturbative renormalization group approach is employed to study the effect of a periodic potential on a system of one-dimensional bosons in a non-equilibrium steady-state due to an initial interaction quench. The renormalization group…

Strongly Correlated Electrons · Physics 2015-05-30 Aditi Mitra , Thierry Giamarchi

We investigate a temperature-based model, called extended two-temperature model (eTTM), that describes the electronic non-equilibrium and its effect on energy dissipation in metals after ultrashort laser excitation. We derive and discuss…

Materials Science · Physics 2023-08-03 Markus Uehlein , Sebastian T. Weber , Baerbel Rethfeld

In the rough phase, the width of interfaces separating different phases of statistical systems increases logarithmically with the system size. This phenomenon is commonly described in terms of the capillary wave model, which deals with…

Statistical Mechanics · Physics 2013-06-17 Michael H. Köpf , Gernot Münster

Surface growth governed by the Kardar-Parisi-Zhang (KPZ) equation in dimensions higher than two undergoes a roughening transition from smooth to rough phases with increasing the nonlinearity. It is also known that the KPZ equation can be…

Statistical Mechanics · Physics 2021-01-20 Yu Nakayama , Yusuke Nishida

We study linear stability of planar travelling waves for a scalar reaction-diffusion equation with non-linear anisotropic diffusion. The mathematical model is derived from the full thermo-hydrodynamical model describing the process of…

Analysis of PDEs · Mathematics 2014-12-19 Léonard Monsaingeon

We consider a Brownian particle confined by an external potential and subject to stochastic resetting to the origin. Motivated by the repetitive nature of the dynamics, we describe the process as a thermodynamic cycle of thermal expansion…

Statistical Mechanics · Physics 2026-05-28 Oded Farago

The Kardar-Parisi-Zhang (KPZ) equation defines the main universality class for nonlinear growth and roughening of surfaces. But under certain conditions, a conserved KPZ equation (cKPZ) is thought to set the universality class instead. This…

Statistical Mechanics · Physics 2018-07-18 Fernando Caballero , Cesare Nardini , Frederic van Wijland , Michael E. Cates

A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a…

Geophysics · Physics 2016-02-19 Matteo Cerminara , Tomaso Esposti Ongaro , Luigi Carlo Berselli

We generalize a previously proposed renormalization and computation scheme for nonequilibrium dynamics to include finite temperature and one-loop selfconsistency as arising in the large-N limit. Since such a scheme amounts essentially to…

High Energy Physics - Phenomenology · Physics 2016-08-25 Juergen Baacke , Katrin Heitmann , Carsten Patzold

Over the past years our understanding of the scaling properties of the solutions to the one-dimensional KPZ equation has advanced considerably, both theoretically and experimentally. In our contribution we export these insights to the case…

Statistical Mechanics · Physics 2016-10-24 Patrik L. Ferrari , Tomohiro Sasamoto , Herbert Spohn

In this paper, we consider the imaging problem of terahertz (THz) tomography, in particular as it appears in non-destructive testing. We derive a nonlinear mathematical model describing a full THz tomography experiment, and consider linear…

Numerical Analysis · Mathematics 2020-10-29 Simon Hubmer , Alexander Ploier , Ronny Ramlau , Peter Fosodeder , Sandrine van Frank

Motivated by the problem of thermalization in heavy-ion collisions, we present numerical simulations of the nonequilibrium evolution of the O(N) model in 1+2 dimensions with longitudinal expansion and in the presence of a background field.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yoshitaka Hatta , Akihiro Nishiyama

We show how the fully resummed thermal pressure is rendered ultraviolet finite by standard zero-temperature renormalisation. The analysis is developed in a 6-dimensional scalar model that mimics QED and has $N$ flavours. The $N\to\infty$…

High Energy Physics - Phenomenology · Physics 2009-10-31 D Boedeker , P V Landshoff , O Nachtmann , A Rebhan

We show that the emergence of different surface patterns (ripples, dots) can be well understood by a suitable mapping onto the simplest nonequilibrium lattice gases and cellular automata.Using this efficient approach difficult, unanswered…

Statistical Mechanics · Physics 2014-01-21 Géza Ódor , Bartosz Liedke , Karl-Heinz Heinig , Jeffrey Kelling

We determine non-perturbatively the anomalous dimensions of the second moment of non-singlet parton densities from a continuum extrapolation of results computed in quenched lattice simulations at different lattice spacings. We use a…

High Energy Physics - Lattice · Physics 2009-10-31 M. Guagnelli , K. Jansen , R. Petronzio

We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic…

Soft Condensed Matter · Physics 2009-11-13 J. R. Gomez-Solano , D. Boyer
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