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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Tsallis thermostatics as a statistical physics of random chains

arXiv

Authors: Petr Jizba, Jan Korbel, Václav Zatloukal

Year

2016

Paper ID

42798

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

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 PSL(2;R) transformation properties of Tsallis' inverse-temperature parameter and a grandcanonical ensemble of fluctuating random loops related to the Tsallis-Havrda-Charvát statistics are also briefly discussed.

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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.07110 [2] arXiv https://arxiv.org/abs/1610.07110 [3] Publisher https://arxiv.org/abs/1610.07110

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