636 citations
- Centro Brasileiro de Pesquisas FísicasBR71 papers
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- Institut National de Physique Nucléaire et de Physique des ParticulesFR50 papers
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4 papers · 2 filters
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…
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…
Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
Fernando A. Oliveira, Rogelma M. S. Ferreira, Luciano C. Lapas +1
In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in conden…