arXiv subjects

L Filho

Publications and source records attributed to L Filho.

2 recordsLinked to original sources

arXiv2019

Hard-core collisional dynamics in the hamiltonian mean-field model

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 to integrate numerically its dynamics. Our results show that the outcome of the initial violent relaxation is altered, and also that the phase-diagram is modified with a critical temperature at a higher value than in the non-collisional counterpart.

cond-mat.stat-mech↗

arXiv2019

Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems

We use the weight $\delta$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 chaoticity. For the paradigmatic model, the cosine Hamiltonian mean field model, we show that this diagnostic highlights the vicinity of the separatrix, even when the latter hardly exists.

nlin.CD↗