THERMODYNAMICS OF ANOMALOUS DIFFUSION

被引：260

作者：

ZANETTE, DH ^{[1
]}

ALEMANY, PA ^{[1
]}

机构：

[1] INST BALSEIRO,RA-8400 BARILOCHE,RIO NEGRO,ARGENTINA

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.75.366

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is pointed out that the generalized statistical mechanics introduced by Tsallis [J. Stat. Phys. 52, 479 (1988)] provides a natural frame for developing a thermodynamical formalism of anomalous frame, we calculate the mean square displacement as a function of time and generalize the Einstein relation of diffusivity and temperature for random walks of the Levy-flight type.

引用

页码：366 / 369

页数：4

共 28 条

[1] FRACTAL RANDOM-WALKS FROM A VARIATIONAL FORMALISM FOR TSALLIS ENTROPIES
ALEMANY, PA
ZANETTE, DH
[J]. PHYSICAL REVIEW E, 1994, 49 (02): : R956 - R958
[2] BOUCHAUD JP, 1991, PHYS REP, V195, P127
[3] A FRACTAL APPROACH TO ENTROPY AND DISTRIBUTION-FUNCTIONS
BUYUKKILIC, F
DEMIRHAN, D
[J]. PHYSICS LETTERS A, 1993, 181 (01) : 24 - 28
[4] A STATISTICAL-MECHANICAL APPROACH TO GENERALIZED STATISTICS OF QUANTUM AND CLASSICAL GASES
BUYUKKILIC, F
DEMIRHAN, D
GULEC, A
[J]. PHYSICS LETTERS A, 1995, 197 (03) : 209 - 220
[5] THE FLUCTUATION DISSIPATION THEOREM IN THE FRAMEWORK OF THE TSALLIS STATISTICS
CHAME, A
DEMELLO, EVL
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11): : 3663 - 3670
[6] SPECIFIC-HEAT OF A FREE PARTICLE IN A GENERALIZED BOLTZMANN-GIBBS STATISTICS
DASILVA, EP
TSALLIS, C
CURADO, EMF
[J]. PHYSICA A, 1993, 199 (01): : 137 - 153
[7] GUYON E, 1993, INSTABILITIES NONEQU, V4
[8] RANDOM-WALKS WITH SELF-SIMILAR CLUSTERS - (STOCHASTIC-PROCESSES STABLE DISTRIBUTIONS-FRACTALS-NONDIFFERENTIABLE FUNCTIONS)
HUGHES, BD
SHLESINGER, MF
MONTROLL, EW
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1981, 78 (06): : 3287 - 3291
[9] NON-BROWNIAN TRANSPORT IN COMPLEX-SYSTEMS
KLAFTER, J
ZUMOFEN, G
BLUMEN, A
[J]. CHEMICAL PHYSICS, 1993, 177 (03) : 821 - 829
[10] KUBO R, 1988, STATISTICAL MECHANIC

← 1 2 3 →