Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions

Authors
Rigo, A Plastino, AR Casas, M Plastino, A
Citation
A. Rigo et al., Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions, PHYS LETT A, 276(1-4), 2000, pp. 97-102
Citations number
33
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
276
Issue
1-4
Year of publication
2000
Pages
97 - 102
Database
ISI
SICI code
0375-9601(20001030)276:1-4<97:ADCWVG>2.0.ZU;2-8
Abstract
We study a family of nonlinear Fokker-Planck equations endowed with a Verhu lst-like reaction term and exhibiting exact time-dependent particular solut ions of the Tsallis' maximum entropy (q-MaxEnt) form. The present approach unifies and generalizes some previous results recently discussed in the lit erature, concerning nonextensive q-MaxEnt solutions to evolution equations with nonlinear diffusion terms. (C) 2000 Elsevier Science B.V. All rights r eserved.