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cond-mat.stat-mech2010★ 40 cited
Dynamical stability criterion for inhomogeneous quasi-stationary states in long-range systems
Alessandro Campa, Pierre-Henri Chavanis
We derive a necessary and sufficient condition of linear dynamical stability for inhomogeneous Vlasov stationary states of the Hamiltonian Mean Field (HMF) model. The condition is…
cond-mat.stat-mech2010★ 32 cited
Inhomogeneous Tsallis distributions in the HMF model
P. H Chavanis, A. Campa
We study the maximization of the Tsallis functional at fixed mass and energy in the HMF model. We give a thermodynamical and a dynamical interpretation of this variational principl…