Tsallis’ statistics for long range interactions: Gravity

Physica A: Statistical Mechanics and its Applications（2022）

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摘要

Using Schwartz’ distribution-theory tools developed in Plastino and Rocca (2018) and applied in several recent references we compare the canonical ensemble treatment of gravity for both Boltzmann–Gibbs’ and Tsallis’ statistics. We provide new arguments, based on the celebrated Cramer Rao inequality, supporting the long dated conjecture that Tsallis statistics is the proper one for dealing with long range interactions.

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关键词

Canonical ensembles for gravitation,Tsallis and Boltzmann–Gibbs versions,Fisher measures,Cramer–Rao inequality

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