Brownian motion generated by a two-dimensional mapping

Autor: Paolo Grigolini, Marco Bianucci, György Trefán, Bruce J. West, Luca Bonci
Rok vydání: 1993
Předmět:
Zdroj: Physics Letters A. 174:377-383
ISSN: 0375-9601
DOI: 10.1016/0375-9601(93)90194-5
Popis: A completely deterministic derivation of the Fokker-Planck equation based on a simple 2D map is illustrated. Both friction and diffusion are derived from the properties of the chaotic booster, i.e. the map, with no ad hoc assumptions. Diffusion is shown to depend on the fact that chaos implies a sensitive dependence on initial conditions. More remarkably, friction is derived from a linear response approach, distinct from the conventional one by Kubo and taking advantage of the stability properties of the invariant distribution.
Databáze: OpenAIRE