Tsallis thermostatics as a statistical physics of random chains

Vaclav Zatloukal

Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Physics, Prague, Czech Republic

We apply techniques known from theory of path integrals to develop a systematic perturbation treatment for systems governed by the generalized statistics of Renyi and Tsallis–Havrda–Charvat. We establish a connection between Tsallis' equilibrium distribution and the end-to-end distribution of polymers in a polydisperse sample, where chain lengths are distributed according to Schulz-Zimm probability density function.

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