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We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

The persistent current in two vertically coupled quantum rings containing few electrons is studied. We find that the Coulomb interaction between the rings in the absence of tunneling affects the persistent current in each ring and the…

Mesoscale and Nanoscale Physics · Physics 2008-11-30 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters

Quantum spin models with variable-range interactions can exhibit certain quantum characteristics that a short-ranged model cannot possess. By considering the quantum XYZ model whose interaction strength between different sites varies either…

Quantum Physics · Physics 2020-12-24 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Aditi Sen De

Role of range of interactions in a model of charged particles diffusing on a two-dimensional lattice is studied. We investigate, via Monte Carlo simulations, three models. In the first one interactions are restricted to nearest neighbors,…

Disordered Systems and Neural Networks · Physics 2009-04-07 Krzysztof Pawlikowski , Andrzej Pȩkalski

We study the effect of long range particle exchange in bosonic arrangements. We show that by combining the solution of the Heisenberg equations of motion with matrix product state representation it is possible to investigate the dynamics as…

Quantum Physics · Physics 2009-07-27 Jose Reslen , Sougato Bose

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

Statistical Mechanics · Physics 2023-07-05 Apoorva Nagar , Shamik Gupta

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We generalise the celebrated Peierls' argument to study the stability of a long-range interacting classical solid. Long-range interaction implies that all the atomic oscillators are coupled to each other via a harmonic potential, though the…

Statistical Mechanics · Physics 2008-01-03 Debanjan Chowdhury , Amit Dutta

Turing's mechanism is often invoked to explain periodic patterns in nature, although direct experimental support is scarce. Turing patterns form in reaction-diffusion systems when the activating species diffuse much slower than the…

Biological Physics · Physics 2024-03-15 Lucas Menou , Chengjie Luo , David Zwicker

The behavior of dynamical system interacting with non-equilibrium medium is investigated. Formally exact kinetic equations are derived for the statistical operator of the dynamical system and the macroscopic parameters of the medium. In the…

Statistical Mechanics · Physics 2016-12-30 Mikheil Zviadadze , Alexander kvirikadze

We investigate the effects of long-ranged Coulomb interactions in a tilted Dirac semimetal in two dimensions by using the perturbative renormalization-group method. Depending on the magnitude of the tilting parameter, the undoped system can…

Strongly Correlated Electrons · Physics 2018-01-24 Yu-Wen Lee , Yu-Li Lee

Symmetry plays a fundamental role in many-body systems, both in and out of equilibrium. The quantum Mpemba effect (QME) - a phenomenon where systems initially farther from equilibrium can thermalize faster - can be understood in terms of…

Quantum Physics · Physics 2025-10-16 Andrew Hallam , Matthew Yusuf , Aashish A. Clerk , Ivar Martin , Zlatko Papić

Quantum quenches to or near criticality give rise to the phenomenon of \textit{aging}, manifested by glassy-like dynamics at short times and far from equilibrium. The recent surge of interest in the dynamics of quantum many-body systems has…

Statistical Mechanics · Physics 2021-08-10 Jad C. Halimeh , Mohammad F. Maghrebi

Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence…

Quantum Physics · Physics 2016-11-14 Raymond Kapral

Quasi-Stationary States of long-range interacting systems have been studied at length over the last fifteen years. It is known that the collisional terms of the Balescu-Lenard and Landau equations vanish for one-dimensional systems in…

Statistical Mechanics · Physics 2014-10-01 A. Figueiredo , T. M. Rocha Filho , A. E. Santana , M. A. Amato

It is well known that the notions of spatial locality are often lost in quantum systems with long-range interactions, as exhibited by the emergence of phases with exotic long-range order and faster propagation of quantum correlations. We…

Quantum Physics · Physics 2019-06-26 Sudipto Singha Roy , Himadri Shekhar Dhar

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

The paper revisits a well-known model of forced vibro-impact oscillator with Amonton-Coulomb friction. In vast majority of the existing studies, this model included also viscous friction, and its global dynamics in the state space is…

Dynamical Systems · Mathematics 2020-01-08 Oleg Gendelman , Pavel Kravetc , Dmitrii Rachinskii

Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena…

Chaotic Dynamics · Physics 2022-06-08 Serhiy Yanchuk , Giovanni Giacomelli

We investigate the dynamics of polar systems coupled to classical external beams in the ultrastrong coupling regime. The permanent dipole moments (PDMs) sustained by polar systems can couple to the electromagnetic field, giving rise to a…

Optics · Physics 2025-05-13 Piotr Gładysz , Karolina Słowik
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