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

A stochastic treatment yielding to the derivation of a general Fokker-Planck equation is presented to model the slow convergence towards 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 timescale in mean-field systems.

preprint2011arXivOpen access
W. EttoumiM. -C. Firpo
math-phmath.MP
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Open access2 authors2 topics
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W. EttoumiM. -C. Firpo

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