Actas de congresos
Nonequilibrium Ensemble Formalism
Registro en:
Physica A: Statistical Mechanics And Its Applications. , v. 340, n. 1-3, p. 163 - 169, 2004.
3784371
10.1016/j.physa.2004.04.003
2-s2.0-3042771036
Autor
Luzzi R.
Vasconcellos A.R.
Ramos J.G.
Institución
Resumen
It is summarized what can be considered as the present situation with regards to the construction of an ensemble formalism - Gibbs' style - for the case of far-from-equilibrium systems. The main questions involved are subsummed and the construction of a general nonequilibrium grand-canonical ensemble is presented. Very brief considerations on statistics differing from the conventional Boltzmann-Gibbs one are presented. © 2004 Elsevier B.V. All rights reserved. 340 1-3 163 169 Sklar, L., (1993) Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics, , Cambridge, UK: Cambridge University Press Casimir, H.G.B., (1945) Rev. Mod. Phys., 17, p. 343 Penrose, O., (1979) Rep. Prog. Phys., 42, p. 1938 Kubo, R., (1978) Prog. Theor. Phys. (Japan), (SUPPL. 64), p. 1 Jaynes, E.T., (1986) Frontiers of Nonequilibrium Statistical Physics, pp. 33-55. , G.T. Moore, & M.O. Scully. New York, USA: Plenum Press Luzzi, R., Vasconcellos, A.R., Ramos, J.G., (2002) Predictive Statistical Mechanics: A Nonequilibrium Ensemble Formalism, , Dordrecht, The Netherlands: Kluwer Academic Publishers Zwanzig, R., (1981) Perspectives in Statistical Physics, pp. 123-124. , H.J. Ravechè. Amsterdam, The Netherlands: North-Holland Bogoliubov, N.N., (1962) Studies in Statistical Mechanics I, , J. de Boer, G.E. Uhlenbeck (Eds.), North-Holland, Amsterdam, The Netherlands Fano, U., (1957) Rev. Mod. Phys., 29, p. 74 Luzzi, R., Vasconcellos, A.R., Ramos, J.G., Questions concerning the foundations of nonequilibrium statistical mechanics (2003) IFGW-unicamp Internal Report, , and future publication Peierles, R., (1974) Lecture Notes in Physics, 31. , Springer, Berlin, Germany Luzzi, R., Vasconcellos, A.R., Ramos, J.G., (2000) Statistical Foundations of Irreversible Thermodynamics, , Stuttgart, Germany: Teubner-Bertelsmann, Springer Kirkwood, J.G., (1946) J. Chem. Phys., 14, p. 180 Mori, H., (1965) Prog. Theor. Phys. (Japan), 33, p. 423 Fonseca, A.F., Mesquita, M.V., Vasconcellos, A.R., Luzzi, R., (2000) J. Chem. Phys., 112, p. 3967 Lauck, L., Vasconcellos, A.R., Luzzi, R., (1990) Physica A, 168, p. 789 Vasconcellos, A.R., Ramos, J.G., Luzzi, R., Nonlinear higher-order hydrodynamics I: General theory (2003) IFGW-unicamp Internal Report, , and follow up contributions in a series of future publication Fisher, R.A., (1922) Philos. Trans. R. Soc. London A, 222, p. 309 Landsberg, P.T., Vedral, V., (1998) Phys. Lett. A, 247, p. 211 C. Beck, E.G.D. Cohen, arXiv.org/abs/cond-mat/0205097, 2002C. Beck, arXiv.org/abs/cond-mat/0303288, 2003Abe, S., Okamoto, Y., (2001) Nonextensive Statistical Mechanics and Its Applications, , Springer, Berlin, Germany Hentschel, H.G., Procaccia, I., (1983) Physica D, 8, p. 435 P. Jizba, T. Arimitzu, arXiv.org/abs/cond-mat/0207707, 2002P. Jizba, T. Arimitzu, arXiv.org/abs/cond-mat/0307698, 2003Kaniadakis, G., (2002) Phys. Rev. E, 66, p. 56125 Luzzi, R., Vasconcellos, A.R., Ramos, J.G., (2003) Unconventional Statistical Mechanics I: General Theory and Derivation of a Nonequilibrium Ensemble in Renyi's Approach, , arXiv.org/abs/cond-mat/0306217, and future publication Vasconcellos, A.R., Ramos, J.G., Luzzi, R., (2003) Unconventional Statistical Mechanics II: Comparison of Theory and Experiment and Further Illustrations, , arXiv.org/abs/cond-mat/0306247, and future publication Luzzi, R., Vasconcellos, A.R., Ramos, J.G., (2003) Entropy: Mystery and Controversy. Plethora of Informational-entropies and Unconventional Statistics, , arXiv.org/abs/cond-mat/0307325, and future publication