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We discuss the nature of quasi-stationary states (QSS) with non-Boltzmannian distribution in systems with long-range interactions in relation with a process of incomplete violent relaxation based on the Vlasov equation. We discuss several…

统计力学 · 物理学 2009-11-11 P. H. Chavanis

We introduce the notion of Quasi-Stationary State (QSS) in the context of quantum Markov semigroups that generalizes the one of quasi-stationary distribution in the case of classical Markov chains. We provide an operational interpretation…

量子物理 · 物理学 2025-08-11 Ameur Dhahri , Franco Fagnola , Federico Girotti , Hyun Jae Yoo

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle…

统计力学 · 物理学 2017-07-18 Michael Joyce , Jules Morand , Pascal Viot

The Quasi Steady-State (QSS) model of long-term dynamics relies on the idea of time-scale decomposition. Assuming that the fast variables are infinitely fast and are stable in the long-term, the QSS model replaces the differential equations…

系统与控制 · 计算机科学 2013-10-02 Xiaozhe Wang , Hsiao-Dong Chiang

Generalized Coherent States (GCS) are constructed (and discussed) in order to study quasiclassical behaviour of quantum spin models of the Heisenberg type. Several such models are taken to their semiclassical limits, whose form depends on…

chao-dyn · 物理学 2009-10-28 V. G. Makhankov , M. Agüero Granados , A. V. Makhankov

We study the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading…

无序系统与神经网络 · 物理学 2019-05-22 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

Long lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and…

量子物理 · 物理学 2021-08-20 Nicolò Defenu

The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

统计力学 · 物理学 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

An ensemble of inelastically colliding grains driven by a vibrating wall in 2D exhibits density clustering. Working in the limit of nearly elastic collisions and employing granular hydrodynamics, we predict, by a marginal stability…

软凝聚态物质 · 物理学 2007-05-23 Eli Livne , Baruch Meerson , Pavel V. Sasorov

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

统计力学 · 物理学 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

Long-range interacting systems, while relaxing to equilibrium, often get trapped in long-lived quasistationary states which have lifetimes that diverge with the system size. In this work, we address the question of how a long-range system…

统计力学 · 物理学 2013-12-04 Aurelio Patelli , Shamik Gupta , Cesare Nardini , Stefano Ruffo

Systems with long-range interactions, while relaxing towards equilibrium, sometimes get trapped in long-lived non-Boltzmann quasistationary states (QSS) which have lifetimes that grow algebraically with the system size. Such states have…

统计力学 · 物理学 2015-03-17 Shamik Gupta , David Mukamel

A quantum spin-$\frac{1}{2}$ chain with an axial symmetry is normally described by quasiparticles associated with the spins oriented along the axis of rotation. Kinetic constraints can enrich such a description by setting apart different…

量子物理 · 物理学 2024-04-25 Maurizio Fagotti

In a conformal invariant one-dimensional stochastic model, a certain non-local perturbation takes the system to a new massless phase of a special kind. The ground-state of the system is an adsorptive state. Part of the finite-size scaling…

统计力学 · 物理学 2011-10-19 Francisco C. Alcaraz , Vladimir Rittenberg

Systems with long-range interactions (LRI) display unusual thermodynamical and dynamical properties that stem from the non-additive character of the interaction potential. We focus in this work on the lack of relaxation to thermal…

统计力学 · 物理学 2014-01-31 Pierre de Buyl

The quasi steady-state (QSS) model tries to reach a good compromise between accuracy and efficiency in long-term stability analysis. However, the QSS model is unable to provide correct approximations and stability assessment for the…

系统与控制 · 计算机科学 2014-05-07 Xiaozhe Wang , Hsiao-Dong Chiang

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

统计力学 · 物理学 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

A linear stability analysis of the hydrodynamic equations of a model for confined quasi-two-dimensional granular gases is carried out. The stability analysis is performed around the homogeneous steady state (HSS) reached eventually by the…

统计力学 · 物理学 2021-06-10 Vicente Garzó , Ricardo Brito , Rodrigo Soto

We study the dynamics of a Hamiltonian system of N classical spins with infinite-range interaction. We present numerical results which confirm the existence of metaequilibrium Quasi Stationary States (QSS), characterized by non-Gaussian…

统计力学 · 物理学 2015-06-24 V. Latora , A. Rapisarda , C. Tsallis

We introduce a Hamiltonian dynamics for the description of long-range interacting systems in contact with a thermal bath (i.e., in the canonical ensemble). The dynamics confirms statistical mechanics equilibrium predictions for the…

统计力学 · 物理学 2009-11-11 Fulvio Baldovin , Enzo Orlandini
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