Rate dependence of current and fluctuations in jump models with negative differential mobility

Gianluca Teza; Stefano Iubini; Marco Baiesi; Attilio L. Stella; Carlo Vanderzande

doi:10.1016/j.physa.2019.123176

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arXiv · 1904.05241

Rate dependence of current and fluctuations in jump models with negative differential mobility

Gianluca Teza·Stefano Iubini·Marco Baiesi·Attilio L. Stella·Carlo Vanderzande

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Abstract

Negative differential mobility is the phenomenon in which the velocity of a particle decreases when the force driving it increases. We study this phenomenon in Markov jump models where a particle moves in the presence of walls that act as traps. We consider transition rates that obey local detailed balance but differ in normalisation, the inclusion of a rate to cross a wall and a load factor. We illustrate the full counting statistics for different choices of the jumping rates. We also show examples of thermodynamic uncertainty relations. The variety of behaviours we encounter highlights that negative differential mobility depends crucially on the chosen rates and points out the necessity that such choices should be based on proper coarse-graining studies of a more microscopic description.

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Gianluca Teza, Stefano Iubini, Marco Baiesi, Attilio L. Stella, Carlo Vanderzande. 2019-04-10. Rate dependence of current and fluctuations in jump models with negative differential mobility. https://doi.org/10.1016/j.physa.2019.123176

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