Multiparameter generalization of nonextensive statistical mechanics

被引:51
作者
Sattin, F
Salasnich, L
机构
[1] ENEA, Assoc Euratom, Consorzio RFX, I-35127 Padua, Italy
[2] Univ Milan, Dipartimento Fis, INFM, Unita Milano, I-20133 Milan, Italy
来源
PHYSICAL REVIEW E | 2002年 / 65卷 / 03期
关键词
D O I
10.1103/PhysRevE.65.035106
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We show that the stochastic interpretation of Tsallis's thermostatistics given recently by Beck [Phys. Rev. Lett 87, 180601 (2001)] leads naturally to a multiparameter generalization. The resulting class of distributions is able to fit experimental results, which cannot be reproduced within Boltzmann's or Tsallis's formalism.
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页数:4
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共 15 条
[1]   Turbulence intermittency and burst properties in tokamak scrape-off layer [J].
Antar, GY ;
Devynck, P ;
Garbet, X ;
Luckhardt, SC .
PHYSICS OF PLASMAS, 2001, 8 (05) :1612-1624
[2]   Numerical study of stress distribution in sheared granular material in two dimensions [J].
Bardenhagen, SG ;
Brackbill, JU ;
Sulsky, D .
PHYSICAL REVIEW E, 2000, 62 (03) :3882-3890
[3]   Dynamical foundations of nonextensive statistical mechanics [J].
Beck, C .
PHYSICAL REVIEW LETTERS, 2001, 87 (18) :180601-1
[4]   High energy tail in the velocity distribution of a granular gas [J].
Brey, JJ ;
Cubero, D ;
Ruiz-Montero, MJ .
PHYSICAL REVIEW E, 1999, 59 (01) :1256-1258
[5]   Intermittency and self-similarity in plasma edge fluctuations [J].
Carbone, V ;
Regnoli, G ;
Martines, E ;
Antoni, V .
PHYSICS OF PLASMAS, 2000, 7 (02) :445-447
[6]  
Casella G., 2021, STAT INFERENCE
[7]   VELOCITY PROBABILITY DENSITY-FUNCTIONS OF HIGH REYNOLDS-NUMBER TURBULENCE [J].
CASTAING, B ;
GAGNE, Y ;
HOPFINGER, EJ .
PHYSICA D, 1990, 46 (02) :177-200
[8]   Statistics of velocity fluctuations arising from a random distribution of point vortices: The speed of fluctuations and the diffusion coefficient [J].
Chavanis, PH ;
Sire, C .
PHYSICAL REVIEW E, 2000, 62 (01) :490-506
[9]   Gravitational evolution of the large-scale probability density distribution:: The edgeworth and gamma expansions [J].
Gaztañaga, E ;
Fosalba, P ;
Elizalde, E .
ASTROPHYSICAL JOURNAL, 2000, 539 (02) :522-531
[10]   Levy stable distributions for velocity and velocity difference in systems of vortex elements [J].
Min, IA ;
Mezic, I ;
Leonard, A .
PHYSICS OF FLUIDS, 1996, 8 (05) :1169-1180