title: Tsallis thermostatics as a statistical physics of random chains.
abstract: In this paper we point out that the generalized statistics of Tsallis-Havrda-Charvát can be conveniently used as a conceptual framework for statistical treatment of random chains. In particular, we use the path-integral approach to show that the ensuing partition function can be identified with the partition function of a fluctuating oriented random loop of arbitrary length and shape in a background scalar potential. To put some meat on the bare bones, we illustrate this with two statistical systems: Schultz-Zimm polymer and relativistic particle. Further salient issues such as the projective special linear group PSL(2,R) transformation properties of Tsallis' inverse-temperature parameter and a grand-canonical ensemble of fluctuating random loops related to the Tsallis-Havrda-Charvát statistics are also briefly discussed.
authors.affiliation: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.|Institute for Theoretical Physics, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany.
authors.forename: Petr
authors.initials: P
authors.lastname: Jizba
authors.affiliation: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.|Department of Physics, Zhejiang University, Hangzhou 310027, P.R. China.
authors.forename: Jan
authors.initials: J
authors.lastname: Korbel
authors.affiliation: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.|Max Planck Institute for the History of Science, Boltzmannstrasse 22, D-14195 Berlin, Germany.
authors.forename: Václav
authors.initials: V
authors.lastname: Zatloukal