Heat flux in chains of nonlocally coupled harmonic oscillators: Mean-field limit

L Defaveri, C Olivares, C Anteneodo - Physical Review E, 2022 - APS
We consider one-dimensional systems of all-to-all harmonically coupled particles with
arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the …

Local thermodynamics and the generalized Gibbs-Duhem equation in systems with long-range interactions

I Latella, A Pérez-Madrid - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
The local thermodynamics of a system with long-range interactions in d dimensions is
studied using the mean-field approximation. Long-range interactions are introduced through …

Scaling of the dynamics of a homogeneous one-dimensional anisotropic classical Heisenberg model with long-range interactions

CR Lourenço, TM Rocha Filho - Physical Review E, 2015 - APS
The dynamics of quasistationary states of long-range interacting systems with N particles
can be described by kinetic equations such as the Balescu-Lenard and Landau equations …

Molecular dynamics for long-range interacting systems on graphic processing units

TM Rocha Filho - Computer Physics Communications, 2014 - Elsevier
We present implementations of the numerical integration of systems with long-range
interactions on graphic processing units for three N-body models with long-range …

Ergodicity and slow relaxation in the one-dimensional self-gravitating system

LF Souza, TMR Filho - Physical Review E, 2023 - APS
We show that homogeneous and nonhomogeneous states of the one-dimensional self-
gravitating sheets models have different ergodic properties. The former are nonergodic and …

Ensemble inequivalence and Maxwell construction in the self-gravitating ring model

TM Rocha Filho, CH Silvestre, MA Amato - Communications in Nonlinear …, 2018 - Elsevier
The statement that Gibbs equilibrium ensembles are equivalent is a base line in many
approaches in the context of equilibrium statistical mechanics. However, as a known fact, for …

Geometry of the energy landscape of the self-gravitating ring

B Monechi, L Casetti - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We study the global geometry of the energy landscape of a simple model of a self-gravitating
system, the self-gravitating ring (SGR). This is done by endowing the configuration space …

Brownian regime of finite-N corrections to particle motion in the XY Hamiltonian mean field model

BV Ribeiro, MA Amato, Y Elskens - Physica Scripta, 2016 - iopscience.iop.org
We study the dynamics of the N-particle system evolving in the XY Hamiltonian mean field
(HMF) model for a repulsive potential, when no phase transition occurs. Starting from a …

Heat conduction in chains of non-locally coupled harmonic oscillators: mean-field limit

L Defaveri, C Olivares, C Anteneodo - arXiv preprint arXiv:2111.01332, 2021 - arxiv.org
We consider one-dimensional systems of all-to-all harmonically coupled particles with
arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the …

Abordagens dinâmica e estocástica na descrição de processos físicos na física de plasmas

BV Ribeiro - 2014 - realp.unb.br
Neste trabalho abordamos a descrição de um plasma por meio de uma aproximação
dinâmica. Esta aproximação consiste em considerar o sistema como um conjunto de N …