H-theorems for the Brownian motion on the hyperbolic plane

Physica A: Statistical Mechanics and its Applications

Volumn 391, Issue 3, 2012, Pages 544-551

  Vignat, C ^a,b   Lamberti, P W ^c  

^a SUPELEC   (France)

^b EPFL   (Switzerland)

^c UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

Brownian motion; H theorem; Hyperbolic plane

Indexed keywords

PHYSICS;

H-THEOREM; HYPERBOLIC PLANE; MAXIMUM SHANNON ENTROPIES; NON-EXTENSIVITY; NONEXTENSIVE STATISTICS; SHANNON ENTROPY; TSALLIS ENTROPIES;

BROWNIAN MOVEMENT;

EID: 80455143770     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2011.08.069     Document Type: Article

References (10)

1. C. Tsallis Possible generalization of BoltzmannGibbs statistics J. Stat. Phys. 52 12 1988 479
2. A.R. Plastino, and A. Plastino Non-extensive statistical mechanics and generalized FokkerPlanck equation Physica A Stat. Theoretical. Phys. 222 14 1995 347 354
3. C. Tsallis, and D.J. Bukman Anomalous diffusion in the presence of external forces: exact time-dependent solutions and their thermostatistical basis Phys. Rev. E 54 3 1996 R2197 R2200
4. H. Risken The FokkerPlanck Equation: Methods of Solution and Applications 1989 Springer-Verlag
5. C. Villani A Review of Mathematical Topics in Collisional Kinetic Theory Handbook of Mathematical Fluid Dynamics 1 2002 North-Holland 71 74 2
6. T.M. Cover, and J.A. Thomas Elements of Information Theory second ed. 2006 Wiley-Interscience, Hoboken NJ
7. A. Comtet, and C. Monthus Diffusion in a one-dimensional random medium and hyperbolic Brownian motion J. Phys. A Math. Gen. 29 7 1996 1331
8. M. Shiino H-theorem with generalized relative entropies and the Tsallis statistics J. Phys. Soc. Japan 67 11 1998 3658 3660
9. L. Borland, A.R. Plastino, and C. Tsallis Information gain within nonextensive thermostatistics J. Math. Phys. 39 1998 6490
10. L. Borland, A.R. Plastino, and C. Tsallis Erratum: information gain within generalized thermostatistics J. Math. Phys. 39 1998 6490 J. Math. Phys. 40 1999 2196