×

Transport theory in the context of the normalized generalized statistics. (English) Zbl 0979.82053

Summary: In this work assuming that the equipartition theorem is valid and using the normalized \(q\)-expectation value, we obtain, until first-order approximation, the hydrodynamics equation for the generalized statistics. These equations are different from those obtained in the context of the Boltzmann-Gibbs statistics. This difference is that now appears two transport coefficients that depend on the parameter \(q\).

MSC:

82C70 Transport processes in time-dependent statistical mechanics

References:

[1] Tsallis, C., J. Stat. Phys., 52, 479 (1988) · Zbl 1082.82501
[2] C. Beck, Fractal Solitons (2001) [condmat/0005408].; C. Beck, Fractal Solitons (2001) [condmat/0005408].
[3] Plastino, A. R.; Plastino, A., Phys. Lett. A, 174, 384 (1993)
[4] http://tsallis.cat.cbpf.br/biblio.htm; http://tsallis.cat.cbpf.br/biblio.htm
[5] Tsallis, C.; Mendes, R. S.; Plastino, A. R., Physica A, 261, 534 (1998)
[6] Boghosian, B. M., Bras. J. Phys., 29, 91 (1999)
[7] Huang, K., Statistical Mechanics (1987), Wiley: Wiley New York · Zbl 1041.82500
[8] Plastino, A. R.; Plastino, A., Phys. Lett. A, 193, 140 (1994) · Zbl 0959.82500
[9] Lima, J. A.S.; Silva, R.; Plastino, A. R., Phys. Rev. Lett., 86, 2938 (2001)
[10] Lenzi, E. K.; Mendes, R. S.; da Silva, L. R., Physica A, 280, 337 (2000)
[11] F. Jedrzejewski [cond-mat/0103386].; F. Jedrzejewski [cond-mat/0103386].
[12] S. Martı́nez, F. Pennini, A. Plastino, Phys. Lett. A (2001) [cond-mat/0006139].; S. Martı́nez, F. Pennini, A. Plastino, Phys. Lett. A (2001) [cond-mat/0006139].
[13] S. Abe, S. Martı́nez, F. Pennini, A. Plastino, Phys. Lett. A (2001) [cond-mat/0006109].; S. Abe, S. Martı́nez, F. Pennini, A. Plastino, Phys. Lett. A (2001) [cond-mat/0006109].
[14] Martinez, S.; Nicolás, F.; Pennini, F.; Plastino, A., Physica A, 286, 489 (2000) · Zbl 1052.82501
[15] Silva, R.; Plastino, A. R.; Lima, J. A.S., Phys. Lett. A, 249, 401 (1998) · Zbl 0940.82028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.