par Boon, Jean-Pierre 
;Lutsko, James
Référence Physica A: Statistical Mechanics and its Applications, 368, 1, page (55-62)
Publication Publié, 2006
;Lutsko, James Référence Physica A: Statistical Mechanics and its Applications, 368, 1, page (55-62)
Publication Publié, 2006
Article révisé par les pairs
| Résumé : | Modern analyses of diffusion processes have proposed nonlinear versions of the Fokker-Planck equation to account for nonclassical diffusion. These nonlinear equations are usually constructed on a phenomenological basis. Here, we introduce a nonlinear transformation by defining the q-generating function which, when applied to the intermediate scattering function of classical statistical mechanics, yields, in a mathematically systematic derivation, a generalized form of the advection-diffusion equation in Fourier space. Its solutions are discussed and suggest that the q-generating function approach should be a useful method to generalize classical diffusive transport formulations. © 2006 Elsevier B.V. All rights reserved. |
