Scaling of the dynamics of homogeneous states of one-dimensional long-range interacting systems

TM Rocha Filho, AE Santana, MA Amato, A Figueiredo - Physical Review E, 2014 - APS
Quasistationary states of long-range interacting systems have been studied at length over
the last 15 years. It is known that the collisional terms of the Balescu-Lenard and Landau …

Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction

JB Fouvry, PH Chavanis, C Pichon - Physical Review E, 2020 - APS
Finite-N effects unavoidably drive the long-term evolution of long-range interacting N-body
systems. The Balescu-Lenard kinetic equation generically describes this process sourced by …

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 …

[HTML][HTML] Ergodicity in a two-dimensional self-gravitating many-body system

CH Silvestre, TM Rocha Filho - Physics Letters A, 2016 - Elsevier
We study the ergodic properties of a two-dimensional self-gravitating system using
molecular dynamics simulations. We apply three different tests for ergodicity: a direct method …

GPU-accelerated molecular dynamics: energy consumption and performance

V Vecher, V Nikolskii, V Stegailov - … 26–27, 2016, Revised Selected Papers …, 2016 - Springer
Energy consumption of hybrid systems is an actual problem of modern high-performance
computing. The trade-off between power consumption and performance becomes more and …

Lyapunov exponent and criticality in the Hamiltonian mean field model

LH Miranda Filho, MA Amato… - Journal of Statistical …, 2018 - iopscience.iop.org
We investigate the dependence of the largest Lyapunov exponent (LLE) of an N-particle self-
gravitating ring model at equilibrium with respect to the number of particles and its …

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 …

Non-equilibrium entropy and dynamics in a system with long-range interactions

TM Rocha Filho - Journal of Physics A: Mathematical and …, 2016 - iopscience.iop.org
We extend the core-halo approach of Levin et al (2014 Phys. Rep. 535, 1) for the violent
relaxation of long-range interacting system with a waterbag initial condition, in the case of a …

Long velocity tails in plasmas and gravitational systems

L Brenig, Y Chaffi, R TM Filho - arXiv preprint arXiv:1605.05981, 2016 - arxiv.org
Long tails in the velocity distribution are observed in plasmas and gravitational systems.
Some experiments and observations in far-from-equilibrium conditions show that these tails …