PMID: 11909179Mar 23, 2002Paper

Extended phase-space dynamics for the generalized nonextensive thermostatistics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J S AndradeG A Farias

Abstract

We apply a variant of the Nosé thermostat to derive the Hamiltonian of a nonextensive system that is compatible with the canonical ensemble of the generalized thermostatistics of Tsallis. This microdynamical approach provides a deterministic connection between the generalized nonextensive entropy and power-law behavior. For the case of a simple one-dimensional harmonic oscillator, we confirm by numerical simulation of the dynamics that the distribution of energy H follows precisely the canonical q statistics for different values of the parameter q. The approach is further tested for classical many-particle systems by means of molecular dynamics simulations. The results indicate that the intrinsic nonlinear features of the nonextensive formalism are capable of generating energy fluctuations that obey anomalous probability laws. For q<1 a broad distribution of energy is observed, while for q>1 the resulting distribution is confined to a compact support.

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Citations

Jul 28, 2007·The Journal of Chemical Physics·Tetsuya Morishita, Masuhiro Mikami
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E V Vakarin, J P Badiali
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A CavalloL De Cesare
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Baris Bagci, Thomas Oikonomou
Apr 15, 2016·Physical Review. E·Ikuo Fukuda, Kei Moritsugu
Jul 15, 2016·Physical Review. E·César M VieiraAndré A Moreira
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qun WeiRoberto Onofrio
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ikuo Fukuda, Haruki Nakamura
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hideo Hasegawa
Oct 9, 2012·Journal of Chemical Theory and Computation·Björn DahlgrenNiels Hansen

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