Superstatistics in hydrodynamic turbulence

作者: Christian Beck

DOI: 10.1016/J.PHYSD.2004.01.020

关键词:

摘要: Abstract Superstatistics is a ‘statistics of statistics’ relevant for driven nonequilibrium systems with fluctuating intensive parameters. It contains Tsallis statistics as special case. We show that probability density functions velocity differences and accelerations measured in Eulerian Lagrangian turbulence experiments are well reproduced by simple superstatistics models. compare fits obtained log-normal χ 2 -superstatistics (= statistics).

参考文章(24)
Angela Hilgers, Christian Beck, Higher-order correlations of Tchebyscheff maps Physica D: Nonlinear Phenomena. ,vol. 156, pp. 1- 18 ,(2001) , 10.1016/S0167-2789(01)00265-2
Constantino Tsallis, Possible generalization of Boltzmann-Gibbs statistics Journal of Statistical Physics. ,vol. 52, pp. 479- 487 ,(1988) , 10.1007/BF01016429
A. La Porta, Greg A. Voth, Alice M. Crawford, Jim Alexander, Eberhard Bodenschatz, Fluid particle accelerations in fully developed turbulence Nature. ,vol. 409, pp. 1017- 1019 ,(2001) , 10.1038/35059027
Constantino Tsallis, Andre M. C. Souza, Constructing a statistical mechanics for Beck-Cohen superstatistics. Physical Review E. ,vol. 67, pp. 026106- 026106 ,(2003) , 10.1103/PHYSREVE.67.026106
Christian Beck, On the small-scale statistics of Lagrangian turbulence Physics Letters A. ,vol. 287, pp. 240- 244 ,(2001) , 10.1016/S0375-9601(01)00483-2
B. L. Sawford, Reynolds number effects in Lagrangian stochastic models of turbulent dispersion Physics of Fluids. ,vol. 3, pp. 1577- 1586 ,(1991) , 10.1063/1.857937
Stephen B. Pope, A stochastic Lagrangian model for acceleration in turbulent flows Physics of Fluids. ,vol. 14, pp. 2360- 2375 ,(2002) , 10.1063/1.1483876
Gregory S. Lewis, Harry L. Swinney, Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow. Physical Review E. ,vol. 59, pp. 5457- 5467 ,(1999) , 10.1103/PHYSREVE.59.5457