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An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

A major open question in studies of nonequilibrium quantum dynamics is the identification of the time scales involved in the relaxation process of isolated quantum systems that have many interacting particles. We demonstrate that long time…

Statistical Mechanics · Physics 2019-05-30 Mauro Schiulaz , E. Jonathan Torres-Herrera , Lea F. Santos

We study the non-equilibrium dynamics of a one-dimensional Bose gas with long-range interactions that decay as $(\frac{1}{r^{\alpha}})$ $(0.5 < \alpha <4.0$). We investigate exotic dynamics when the interactions are suddenly switched from…

Quantum Gases · Physics 2025-01-10 P. Molignini , B. Chakrabarti

Systems with long-range (LR) forces, for which the interaction potential decays with the interparticle distance with an exponent smaller than the dimensionality of the embedding space, remain an outstanding challenge to statistical physics.…

Statistical Mechanics · Physics 2016-03-23 Yan Levin , Renato Pakter , Felipe B. Rizzato , Tarcísio N. Teles , Fernanda P. da C. Benetti

We present a theoretical study of noise-induced quantum coherences in a model three-level V-type system interacting with incoherent radiation, an important prototype for a wide range of physical systems ranging from trapped ions to…

Chemical Physics · Physics 2015-06-19 Timur V. Tscherbul , Paul Brumer

Isolated quantum systems follow the unitary evolution, which guarantees the full many body state always keeps a constant entropy as its initial one. In comparison, the local subsystems exhibit relaxation behavior and evolve towards certain…

Statistical Mechanics · Physics 2023-08-29 Tai Kang , Sheng-Wen Li

New exact completely closed homogeneous Generalized Master Equations (GMEs), governing the evolution in time of equilibrium two-time correlation functions for dynamic variables of a subsystem of s particles (s<N) selected from N>>1…

Statistical Mechanics · Physics 2020-12-30 Victor F. Los

Macroscopic coherence is an important feature of quantum many-body systems exhibiting collective behaviors, with examples ranging from atomic Bose-Einstein condensates, and quantum liquids to superconductors. Probing many-body coherence in…

In this work we present numerical results for physical quantities in the steady-state obtained after a variety of product-states initial conditions are evolved unitarily, driven by the dynamics of quantum integrable models of the rational…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Hugo Tschirhart , Thierry Platini , Alexandre Faribault

One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow…

Quantum Physics · Physics 2018-07-31 Zhihao Lan , Merlijn van Horssen , Stephen Powell , Juan P. Garrahan

The long timescale evolution of a self-gravitating system is generically driven by two-body encounters. In many cases, the motion of the particles is primarily governed by the mean field potential. When this potential is integrable,…

Astrophysics of Galaxies · Physics 2018-09-26 Jean-Baptiste Fouvry , Ben Bar-Or

The damping of the collective vibrations in hot nuclei is studied within the semiclassical Vlasov-Landau kinetic theory. The extention of the method of independent sources of dissipation is used to allow for irreversible energy transfer by…

Nuclear Theory · Physics 2011-04-15 V. A. Plujko

The equilibrium dynamics of a thin film type II superconductor with spherical geometry are investigated numerically in a simulation based on the lowest Landau level approximation to the time-dependent Ginzburg-Landau equation. Both the…

Superconductivity · Physics 2009-10-30 A. K. Kienappel , M. A. Moore

One of the most important concepts in non-equilibrium physics is relaxation. In the vicinity of a classical critical point, the relaxation time can diverge and result in a universal power-law for the relaxation dynamics; the emerging…

Strongly Correlated Electrons · Physics 2017-08-16 Zi Cai , Claudius Hubig , Ulrich Schollwöck

Prominent examples of longitudinal phase separation in elastic systems include elastic necking, the propagation of a bulge in a cylindrical party balloon and the beading of a gel fiber subject to surface tension. Here we demonstrate that,…

Soft Condensed Matter · Physics 2020-10-07 Andrea Giudici , John S. Biggins

Isolated long-range interacting particle systems appear generically to relax to non-equilibrium states ("quasi-stationary states" or QSS) which are stationary in the thermodynamic limit. A fundamental open question concerns the "robustness"…

Statistical Mechanics · Physics 2016-05-25 Michael Joyce , Jules Morand , Pascal Viot

Computing is not understanding. This is exemplified by the multiple and discordant interpretations of Landau damping still present after seventy years. For long deemed impossible, the mechanical N-body description of this damping, not only…

Plasma Physics · Physics 2018-10-15 Dominique Escande , Didier Bénisti , Yves Elskens , David Zarzoso , Fabrice Doveil

Continuing work initiated in an earlier publication [Yamada, Tsuchiya, and Asada, Phys. Rev. D 91, 124016 (2015)], we reexamine the linear stability of the triangular solution in the relativistic three-body problem for general masses by the…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Kei Yamada , Takuya Tsuchiya

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

Quantum Physics · Physics 2018-02-21 Manuel Gessner , Andreas Buchleitner

We consider a long-range interacting system of $N$ particles moving on a spherical surface under an attractive Heisenberg-like interaction of infinite range, and evolving under deterministic Hamilton dynamics. The system may also be viewed…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , David Mukamel
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