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The relationship between the mean-field approximations in various interacting models of statistical physics and measures of classical and quantum correlations is explored. We present a method that allows us to bound the total amount of…

Quantum Physics · Physics 2009-11-10 Vlatko Vedral

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength $\epsilon$, we obtain an exact analytical description…

Statistical Mechanics · Physics 2026-02-27 Debraj Das , Andrea Gambassi , Stefano Iubini , Stefano Lepri

The energies of a pair of strongly-interacting subsystems with arbitrary noninteger charges are examined from closed and open system perspectives. An ensemble representation of the charge dependence is derived, valid at all interaction…

Other Condensed Matter · Physics 2009-11-11 Steven M. Valone , Susan R. Atlas

We consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak finite range interaction of strength $\lambda$, in a scaling…

Mathematical Physics · Physics 2012-09-19 Alessandro Giuliani , Rafael L. Greenblatt , Vieri Mastropietro

We investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. The model allows us to show explicitly a subaging…

Statistical Mechanics · Physics 2009-10-31 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap…

Disordered Systems and Neural Networks · Physics 2015-05-19 D. O. Krimer , S. Flach

In these four lectures I describe basic ideas and methods applicable to both classical and quantum systems displaying slow relaxation and non-equilibrium dynamics. The first half of these notes considers classical systems, and the second…

Statistical Mechanics · Physics 2018-05-30 Juan P. Garrahan

Using holographic duality, we investigate thermalization process when two finite-size quantum critical systems are brought into thermal contact along a perfectly transmitting interface. Through real-time simulations of gravitational…

High Energy Physics - Theory · Physics 2025-09-09 Li Li , Yan Liu , Hao-Tian Sun

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider deformations away from its stochastic point in order to…

Statistical Mechanics · Physics 2024-11-05 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

We study the thermalization of a small $XX$ chain coupled to long, gapped $XXZ$ leads at either side by observing the relaxation dynamics of the whole system. Using extensive tensor network simulations, we show that such systems, although…

Statistical Mechanics · Physics 2023-03-09 Marko Ljubotina , Dibyendu Roy , Tomaž Prosen

This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This includes consequences of harmonic dynamics and the…

Quantum Physics · Physics 2021-11-22 Donald J. Kouri , Caleb Broodo , Bernhard G. Bodmann , Cameron L. Williams

Using kinetic theory, we analyze the interplay of elastic and inelastic collisions in the thermalization of the quark-gluon plasma. The main focus is the dynamics and equilibration of long wavelength modes.

Nuclear Theory · Physics 2016-11-23 Jean-Paul Blaizot , Jinfeng Liao , Yacine Mehtar-Tani

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

In this Letter, we investigate the effects of a time-dependent, short-ranged interaction on the long-time expansion dynamics of Fermi gases. We show that the effects of the interaction on the dynamics is dictated by how it changes under a…

Quantum Gases · Physics 2022-02-02 Jeff Maki , Shizhong Zhang , Fei Zhou

We propose a more general setup for prethermalization in the system of interacting waves. The idea lies in dividing the multi-wave interactions into trivial and nontrivial ones. The trivial interactions will dress waves and lead to a less…

Statistical Mechanics · Physics 2024-08-02 Zhen Wang , Yong Zhang , Hong Zhao

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

Statistical Mechanics · Physics 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

In interacting topological systems, Landau-like order parameters interplay with the band topology of fermions. The physics of domain formation in such systems can get significantly altered due to the presence of topological fermions. In…

Statistical Mechanics · Physics 2026-01-08 Saikat Mondal , Adhip Agarwala

We consider hydrodynamic limits of interacting particles systems with open boundaries, where the exterior parameters change in a time scale slower than the typical relaxation time scale. The limit deterministic profiles evolve…

Probability · Mathematics 2016-01-20 Anna De Masi , Stefano Olla
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