35 citations · 121 across the 13 of their papers we have counts for
14 papers
Distribution Probability of Force for a Physical System of N Random Particles
A. D. Figueiredo, T. M. da Rocha Filho, M. A. Amato
The present paper attempts to address a discussion on mathematical grounds of a model to associate the generalized version of the CLT and the -body problem related to the calcul…
Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems
L Filho, M Amato, Y Elskens +1
We use the weight I, deduced from the estimation of Lyapunov vectors, in order to characterise regions in the kinetic (x, v) space with particles that most contribute to chaotic…
Ensemble Inequivalence and Maxwell Construction in the Self-Gravitating Ring Model
T. M. Rocha Filho, C. H. Silvestre, M. A. Amato
Equilibrium Statistical Mechanics is undoubtedly a cornerstone for the description of many particle systems. The common interpretation is based on ensemble theory as put forward by…
Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model
L. H. Miranda Filho, M. A. Amato, T. M. Rocha Filho
We investigate the dependence of the largest Lyapunov exponent of a -particle self-gravitating ring model at equilibrium with respect to the number of particles and its dependen…
Brownian regime of finite-N corrections to particle motion in the XY hamiltonian mean field model
Bruno V Ribeiro, Marco A Amato, Yves Elskens
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 hom…
Microcanonical Monte Carlo Study of One Dimensional Self-Gravitating Lattice Gas Models
J. M. Maciel, M. A. Amato, T. M. Rocha Filho +1
In this study we present a Microcanonical Monte Carlo investigation of one dimensional self-gravitating toy models. We study the effect of hard-core potentials and compare to those…