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We study the relaxation dynamics of systems of straight, parallel crystal dislocations, starting from initially random and uncorrelated positions of the individual dislocations. A scaling model of the relaxation process is constructed by…

Materials Science · Physics 2009-03-28 Ferenc F. Csikor , Michael Zaiser , Péter Dusán Ispánovity , István Groma

We study the relaxation of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alejandro B. Kolton , A. Rosso , Thierry Giamarchi

We describe the transition of a graviationally radiating, axially and reflection symmetric dissipative fluid, to a non--radiating state. It is shown that very shortly after the end of the radiating regime, at a time scale of the order the…

General Relativity and Quantum Cosmology · Physics 2018-10-17 L. Herrera , A. Di Prisco , J. Ospino

Using the supersymmetry technique, we analytically derive the recent result of Casati, Maspero and Shepelyansky [cond-mat/9706103] according to which the quantum dynamics of open chaotic systems follows the classical decay up to a new…

Condensed Matter · Physics 2009-10-30 Klaus M. Frahm

This report describes a modification of the orthogonal function Poisson solver for n-body simulations that minimizes relaxation caused by small particle number fluctuations. With the standard algorithm, the noise leading to relaxation can…

Astrophysics · Physics 2016-08-30 Martin D. Weinberg

Sometimes the dynamics of a physical system is described by non-Hamiltonian equations of motion, and additionally, the system is characterized by long-range interactions. A concrete example is that of particles interacting with light as…

Statistical Mechanics · Physics 2022-11-15 Alessandro Campa , Shamik Gupta

We constructed a model that evolved from a non-equilibrium state to an equilibrium state. The model only needs two basic coefficients, including self-similar coefficients and non-equilibrium coefficients. The coefficients of the model can…

Statistical Mechanics · Physics 2020-11-24 Zhifu Huang , Yuqing Wang

For slowly rotating fluids, we establish the existence of a critical point similar to the one found for non-rotating systems. As the fluid approaches the critical point, the effective inertial mass of any fluid element decreases, vanishing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Herrera , A. Di Prisco , J. Martinez

The spatial distribution of structural relaxation in a supercooled liquid is studied using molecular dynamics simulations of a 2D binary mixture. It is shown that the spatial heterogeneity of the relaxation along with the time scale of the…

Soft Condensed Matter · Physics 2011-09-08 Asaph Widmer-Cooper , Peter Harrowell

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

We revisit the concepts of spin relaxation and spin decoherence of two level (spin-1/2) systems. From two toy-models, we clarify two issues related to the spin relaxation and decoherence: 1) For an ensemble of two-level particles each…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. R. Wang , Y. S. Zheng , Sun Yin

How does an initially homogeneous spin-polarization in a confined two-dimensional electron gas with Rashba spin-orbit coupling evolve in time? How does the relaxation time depend on system size? We study these questions for systems of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Peter Schwab , Michael Dzierzawa , Cosimo Gorini , Roberto Raimondi

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

Soft Condensed Matter · Physics 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

It was predicted and recently experimentally confirmed that systems with microscopically reversible dynamics in locally quadratic potentials warm up faster than they cool down. This thermal relaxation asymmetry challenged the…

Statistical Mechanics · Physics 2023-12-12 Cai Dieball , Gerrit Wellecke , Aljaž Godec

Metastable states in stochastic systems are often characterized by the presence of small eigenvalues in the generator of the stochastic dynamics. We here show that metastability in many-body systems is not necessarily associated with small…

Statistical Mechanics · Physics 2021-12-21 Takashi Mori

We analytically demonstrate that strong system-bath coupling separates the relaxation dynamics of a dissipative quantum system into two distinct regimes: a short-time dynamics that, as expected, accelerates with increasing coupling to the…

Quantum Physics · Physics 2025-12-22 Brett Min , Matthew Gerry , Dvira Segal

N-body simulations of collisionless collapse have offered important clues to the construction of realistic stellar dynamical models of elliptical galaxies. Such simulations confirm and quantify the qualitative expectation that rapid…

Astrophysics · Physics 2007-05-23 M. Trenti , G. Bertin

We investigate the thermalization of a stochastic system with discrete phase space, initially at equilibrium at temperature $T_i$ and then termalizing in an environment at temperature $T_f$ , considering both cases $T_i > T_f$ and $T_i <…

Statistical Mechanics · Physics 2025-08-05 A. Imparato

The problem of how complex quantum systems eventually come to rest lies at the heart of statistical mechanics. The maximum entropy principle put forward in 1957 by E. T. Jaynes suggests what quantum states one should expect in equilibrium…

Time dynamics of isolated many-body quantum systems has long been an elusive subject. Very recently, however, meaningful experimental studies of the problem have finally become possible, stimulating theoretical interest as well. Progress in…

Statistical Mechanics · Physics 2009-06-11 Marcos Rigol , Vanja Dunjko , Maxim Olshanii
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