Based on the method developed in [T.D. Frank, Physica A 310 397-412 (2002)], we have derived a non-linear Fokker-Planck equation for non-equilibrium systems related to the kappa-entropy. This kinetic equation can be characterized by the associated Lyapunov functional or Bregman type divergence, which is related to the difference of the kappa-generalized free-energies.

On the non-linear Fokker-Planck equation associated with kappa-entropy

Scarfone, A. M.
2007

Abstract

Based on the method developed in [T.D. Frank, Physica A 310 397-412 (2002)], we have derived a non-linear Fokker-Planck equation for non-equilibrium systems related to the kappa-entropy. This kinetic equation can be characterized by the associated Lyapunov functional or Bregman type divergence, which is related to the difference of the kappa-generalized free-energies.
2007
Istituto dei Sistemi Complessi - ISC
INFM
kappa-entropy
Lyapunov functional
maximal entropy principle
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/368336
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