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Article Dans Une Revue Physical Review E Année : 2011

Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures

Résumé

A stochastic treatment yielding to the derivation of a general Fokker-Planck equation is presented to model the slow convergence toward equilibrium of mean-field systems due to finite-N effects. The thermalization process involves notably the disintegration of coherent structures that may sustain out-of-equilibrium quasistationary states. The time evolution of the fraction of particles remaining close to a mean-field potential trough is analytically computed. This indicator enables to estimate the lifetime of coherent structures and thermalization time scale in mean-field systems.

Dates et versions

hal-01550997 , version 1 (29-06-2017)

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Wahb Ettoumi, Marie-Christine Firpo. Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures. Physical Review E , 2011, 84, pp.030103(R). ⟨10.1103/PhysRevE.84.030103⟩. ⟨hal-01550997⟩
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