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Related papers: Relaxation processes in one-dimensional self-gravi…

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The Richtmyer-Meshkov (RM) instability plays an important role in various natural and engineering fields, such as inertial confinement fusion. In this work, the effect of relaxation time on the RM instability under reshock impact is…

Fluid Dynamics · Physics 2025-03-19 Lingyan Lian , Chuandong Lin , Demei Li , Huilin Lai

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire

We investigate the non-equilibrium relaxation dynamics of a one dimensional system of interacting spinless fermions near the XXZ integrable point. We observe two qualitatively different regimes: close to integrability and for low energies…

Quantum Gases · Physics 2015-03-10 Nicolas Nessi , Aníbal Iucci

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

The retardation and temperature effects in two-body collisions are studied. The collision integral with retardation effects is obtained on the base of the Kadanoff- Baym equations for Green functions in a form with allowance for reaching…

Nuclear Theory · Physics 2007-05-23 V. A. Plujko , O. M. Gorbachenko , M. O. Kavatsyuk

We study the link between relaxation to the equilibrium and anomalous superdiffusive motion in a classical N-body hamiltonian system with long-range interaction showing a second-order phase-transition in the canonical ensemble. Anomalous…

Statistical Mechanics · Physics 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

Statistical Mechanics · Physics 2016-03-03 Peter Reimann

We present a computational investigation on the slow dynamics of a mixture of large and small soft spheres. By varying the size disparity at a moderate fixed composition different relaxation scenarios are observed for the small particles.…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

We show that the low temperature ($T<0.5$ K) time dependent non-exponential energy relaxation of quasi-one-dimensional (quasi-1D) compounds strongly differ according to the nature of their modulated ground state. For incommensurate ground…

Disordered Systems and Neural Networks · Physics 2016-08-31 J. C. Lasjaunias , R. Mélin , D. Staresinic , K. Biljakovic , J. Souletie

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to…

The thermodynamic behaviour of self-gravitating $N$-body systems has been worked out by borrowing a standard method from Molecular Dynamics: the time averages of suitable quantities are numerically computed along the dynamical trajectories…

Astrophysics · Physics 2009-11-06 Monica Cerruti-Sola , Piero Cipriani , Marco Pettini

We consider nonequilibrium (NEQ) states such as supercooled liquids and glasses that are described with use of internal variables. We classify the latter by state-dependent hierarchy of relaxation times to assess their relevance for…

Statistical Mechanics · Physics 2018-04-04 P. D. Gujrati

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down completely, giving rise to a fundamentally new many-body phase. Whether and under which conditions MBL can occur in higher dimensions remains an outstanding…

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Ezequiel V. Albano , Thierry Giamarchi

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of…

The origin of the microscopic motions that lead to stress relaxation in deeply supercooled liquid remains unclear. We show that in such a liquid the stress relaxation is locally anisotropic which can serve as the driving force for the…

Chemical Physics · Physics 2007-05-23 Sarika Bhattacharyya , Biman Bagchi

Transport properties of high transition temperature (high-Tc) superconductors have been shown to have two distinct relaxation rates. We argue that this apparent inconsistence can be resolved with an effective carrier density n linear in…

Superconductivity · Physics 2007-05-23 Nie Luo

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

A relaxation in the tropical sandpile model is a process of deforming a tropical hypersurface towards a finite collection of points. We show that, in the one-dimensional case, a relaxation terminates after a finite number of steps. We…

Combinatorics · Mathematics 2024-02-14 Mikhail Shkolnikov

Resonant relaxation is a novel form of two-body relaxation that arises in nearly Keplerian disks such as protoplanetary disks. Resonant relaxation does not affect the semimajor axes of the particles, but enhances relaxation of particle…

Astrophysics · Physics 2009-10-30 Scott Tremaine