2020arXiv (Cornell University)Open access

Dissipation Asymmetry Relation

Michele Campisi

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Abstract

We establish a relation between the degree of dissipation and the degree of asymmetry of the statistics of random quantities obeying the fluctuation theorem. The relation is expressed in terms of a lower bound on the average dissipation: the more asymmetry is displayed the more dissipation is necessary to sustain it. The reported result improves the thermodynamic uncertainty relation that similarly establishes a lower bound on average dissipation in terms of the precision of the statistics. The result is illustrated with examples and generalisations.

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What this paper is about

We establish a relation between the degree of dissipation and the degree of asymmetry of the statistics of random quantities obeying the fluctuation theorem. The relation is expressed in terms of a lower bound on the average dissipation: the more asymmetry is displayed the more dissipation is necessary to sustain it. The reported result improves the thermodynamic uncertainty relation that similarly establishes a lower bound on average dissipation in terms of the precision of the statistics. The result is illustrated with examples and generalisations.

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Available abstract

We establish a relation between the degree of dissipation and the degree of asymmetry of the statistics of random quantities obeying the fluctuation theorem. The relation is expressed in terms of a lower bound on the average dissipation: the more asymmetry is displayed the more dissipation is necessary to sustain it. The reported result improves the thermodynamic uncertainty relation that similarly establishes a lower bound on average dissipation in terms of the precision of the statistics. The result is illustrated with examples and generalisations.

Key concepts: Asymmetry, Dissipation, Degree (music), Relation (database), Mathematics, Fluctuation-dissipation theorem, Statistical physics, Physics

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