Two-dimensional turbulence in pure-electron plasma: A nonextensive thermostatistical description

Huang and Driscoll (1994) studied the two-dimensional turbulent metaequilibrium state that appears in an experiment in which pure-electron plasma evolves in the interior of a conducting cylinder (of radius Rw) in the presence of an external axial magnetic field. They measured the electron radial distribution and compared their data with the profiles resulting from four different phenomenological theories developed by themselves. Two among these theories are based on the optimization of the standard (Boltzmann-Gibbs) entropy, the other two being based on the optimization of the enstrophy. Only one of the latter (Restricted Minimum Enstrophy theory, where restricted stands for the fact that a cut-off radius Rc 12, q = 12 and q < 12, respectively.

[1]  Boghosian Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Penna,et al.  Traveling salesman problem and Tsallis statistics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  C. Tsallis,et al.  Statistical-mechanical foundation of the ubiquity of Lévy distributions in Nature. , 1995, Physical review letters.

[4]  Schulte Nonpolynomial fitting of multiparameter functions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  N. Bahcall,et al.  The Peculiar Velocity Function of Galaxy Clusters , 1996, astro-ph/9602149.

[6]  Generalized nonextensive thermodynamics applied to the cosmic background radiation in a Robertson-Walker universe. , 1996, Physical review letters.

[7]  A. R. Plastino,et al.  Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy , 1994 .

[8]  A. R. Plastino,et al.  Tsallis' entropy, Ehrenfest theorem and information theory , 1993 .

[9]  C. Tsallis Possible generalization of Boltzmann-Gibbs statistics , 1988 .

[10]  Mixing and "violent relaxation" for the one-dimensional gravitational Coulomb gas. , 1989, Physical review. A, General physics.

[11]  C. Tsallis Comment on “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J.D. Ramshaw , 1995 .

[12]  C. Tsallis Some comments on Boltzmann-Gibbs statistical mechanics , 1995 .

[13]  Thadeu Josino Pereira Penna,et al.  Fitting curves by simulated annealing , 1995 .

[14]  Zanette,et al.  Fractal random walks from a variational formalism for Tsallis entropies. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  A. Mariz,et al.  On the irreversible nature of the Tsallis and Renyi entropies , 1992 .

[16]  G. Kaniadakis,et al.  Generalized statistics and solar neutrinos , 1996 .

[17]  C. Tsallis,et al.  Geometry optimization and conformational analysis through generalized simulated annealing , 1998 .

[18]  Rajagopal Dynamic linear response theory for a nonextensive system based on the Tsallis prescription. , 1996, Physical review letters.

[19]  C. Tsallis,et al.  Generalized statistical mechanics : connection with thermodynamics , 1991 .

[20]  A. R. Plastino,et al.  Stellar polytropes and Tsallis' entropy , 1993 .

[21]  Huang,et al.  Relaxation of 2D turbulence to a metaequilibrium near the minimum enstrophy state. , 1994, Physical Review Letters.

[22]  A. R. Plastino,et al.  Non-extensive statistical mechanics and generalized Fokker-Planck equation , 1995 .

[23]  Zanette,et al.  Thermodynamics of anomalous diffusion. , 1995, Physical review letters.

[24]  Straub,et al.  Generalized simulated annealing algorithms using Tsallis statistics: Application to conformational optimization of a tetrapeptide. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.