Generalized diffusion equation

Physica A: Statistical Mechanics and its Applications

Volumn 368, Issue 1, 2006, Pages 55-62

  Boon, Jean Pierre ^a   Lutsko, James F ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Diffusion equation; Nonextensive statistics; q Generating function

Indexed keywords

COMPUTATIONAL METHODS; FOURIER TRANSFORMS; FUNCTIONS; NONLINEAR EQUATIONS; OPTIMIZATION; STATISTICAL MECHANICS;

DIFFUSION EQUATION; NONEXTENSIVE STATISTICS; Q-GENERATING FUNCTION;

DIFFUSION;

EID: 33646848415     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.11.054     Document Type: Article

References (10)

1. Tsallis C. J. Stat. Phys. 52 (1988) 479
2. Gell-Mann M., and Tsallis C. Nonextensive Entropy (2004), Oxford University Press, New York
3. H.L. Swinney, C. Tsallis (Eds.), Anomalous distributions, nonlinear dynamics, and nonextensivity, Physica D 193 (2004).
4. See e.g. J.P. Boon, S. Yip, Molecular Hydrodynamics, Dover, New York, 1991 (Chapter 4).
5. Tsallis C. Physica D 193 (2004) 3 and references therein
6. Tsallis C., and Buckman D.J. Phys. Rev. E 54 (1996) R2197
7. Abe S., and Thurner S. Physica A 356 (2005) 403
8. Arfken G.B., and Weber H.J. Mathematical Methods for Physicists. fifth ed. (2001), Academic Press, New York (Chapter 11)
9. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, NBS Mathematical Series, Reprinted by Dover, New York, 1965 (Chapter 9).
10. Chapman S., and Cowling T.G. The Mathematical Theory of Non-uniform Gases (1960), Cambridge University Press, London