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arXiv · 1810.02482

On the canonical distributions of a thermal particle in the weakly confining potential of special type

Tatsuaki Wada·Antonio M. Scarfone·Hiroshi Matsuzoe
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Abstract

We consider a thermal particle which is diffusing in velocity-space and in a weakly confining potential characterized by the inverse hyperbolic sine function of the particle velocity $v$ and the control parameter $v_c$. The stationary state of the Fokker-Planck equation is shown to be a canonical probability distribution. Furthermore an appropriate re-parametrization relates this stationary state with the $\kappa$-deformed Gaussian.

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Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe. 2018-10-05. On the canonical distributions of a thermal particle in the weakly confining potential of special type. https://arxiv.org/abs/1810.02482

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