title: Family of probability distributions derived from maximal entropy principle with scale invariant restrictions.
abstract: Using statistical thermodynamics, we derive a general expression of the stationary probability distribution for thermodynamic systems driven out of equilibrium by several thermodynamic forces. The local equilibrium is defined by imposing the minimum entropy production and the maximum entropy principle under the scale invariance restrictions. The obtained probability distribution presents a singularity that has immediate physical interpretation in terms of the intermittency models. The derived reference probability distribution function is interpreted as time and ensemble average of the real physical one. A generic family of stochastic processes describing noise-driven intermittency, where the stationary density distribution coincides exactly with the one resulted from entropy maximization, is presented.
authors: Department of Theoretical Physics and Mathematics, Université Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 231, Boulevard du Triomphe, 1050 Brussels, Belgium. gsonnino@ulb.ac.be
authors: Giorgio
authors: G
authors: Sonnino
authors: György
authors: G
authors: Steinbrecher
authors: Alessandro
authors: A
authors: Cardinali
authors: Alberto
authors: A
authors: Sonnino
authors: Mustapha
authors: M
authors: Tlidi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D013816:Thermodynamics