摘要: We consider a system of Brownian particles with long-range interactions. go beyond the mean field approximation and take fluctuations into account. introduce new class stochastic Fokker-Planck equations associated generalized thermodynamical formalism. Generalized thermodynamics arises in case complex systems experiencing small-scale constraints. In limit short-range interactions, we obtain Cahn-Hilliard equations. Our formalism has application for several physical interest including self-gravitating particles, colloid at fluid interface, superconductors type II, nucleation, chemotaxis bacterial populations, two-dimensional turbulence. also entropy taking account anomalous diffusion exclusion or inclusion
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