9 citations · 19 across the 16 of their papers we have counts for
16 papers
Slow dynamics and ergodicity in the one-dimensional self-gravitating system
L. F. Souza, T. M. Rocha Filho
We revisit the dynamics of the one-dimensional self-gravitating sheets models. We show that homogeneous and non-homogeneous states have different ergodic properties. The former is…
Analytical Solution for Gross-Pitaevskii Equation in Phase Space and Wigner Function
A. X. Martins, R. A. S. Paiva, G. Petronilo +4
In this work we study symplectic unitary representations for the Galilei group. As a consequence a Non-Linear Schrödinger equation is derived in phase space. The formalism is based…
Critical Exponent for the Lyapunov Exponent and Phase Transitions -- The Generalized Hamiltonian Mean-Field Model
Moisés F. P. Silva, Tarcísio M. Rocha Filho, Yves Elskens
We compute semi-analytic and numerical estimates for the largest Lyapunov exponent in a many-particle system with long-range interactions, extending previous results for the Hamilt…
Hard-core collisional dynamics in the hamiltonian mean-field model
Luciano Miranda Filho, Igor Melo, Annibal Figueiredo +3
We consider a modification of the well studied Hamiltonian Mean-Field model by introducing a hard-core point-like repulsive interaction and propose a numerical integration scheme t…
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…
Relaxation Processes in Long-Range Lattices
T. M. Rocha Filho, R. Bachelard
The relaxation to equilibrium of lattice systems with long-range interactions is investigated. The timescales involved depend polynomially on the system size, potentially leading t…