A Dynamical Thermostatting Approach to Nonextensive Canonical Ensembles

✍ Scribed by A.R. Plastino; C. Anteneodo

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 392 KB
• Volume: 255
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.5659

✦ Synopsis

We treat Tsallis generalized nonextensive thermostatistics through the method developed by to simulate the canonical ensemble. Given a Hamiltonian system with a 2N-dimensional phase space, the introduction of two additional dynamical variables allows us to mimic the coupling of the original system to a thermal bath, yielding ergodic behavior. In this way, ensemble averages within the generalized nonextensive canonical ensemble can be obtained as temporal mean values evaluated on a trajectory of the extended dynamical system. We illustrate these ideas with some 1D and 2D examples. 1997 Academic Press Recently, Kusnezov et al. (KBB) [1, 2] introduced a procedure for computing thermodynamic properties of 2N-dimensional classical systems governed by a Hamiltonian.