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math-ph2011★ 7 cited
Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures
W. Ettoumi, M. -C. Firpo
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 fi…
math-ph2010★ 12 cited
Linear theory and violent relaxation in long-range systems: a test case
Wahb Ettoumi, Marie-Christine Firpo
In this article, several aspects of the dynamics of a toy model for longrange Hamiltonian systems are tackled focusing on linearly unstable unmagnetized (i.e. force-free) cold equi…