Virial-like thermodynamic uncertainty relation in the tight-binding regime

We presented a methodology to approximate the entropy production for Brownian motion in a tilted periodic potential. The approximation stems from the well known thermodynamic uncertainty relation. By applying a virial-like expansion, we provided a tighter lower limit solely in terms of the drift vel...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-10, Vol.32 (10), p.103109-103109
Main Authors: López-Alamilla, N. J., Cachi, R. U. L.
Format: Article
Language:English
Subjects:
Binding
Brownian motion
Diffusion barriers
Drift
Thermodynamics
Uncertainty
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Summary:We presented a methodology to approximate the entropy production for Brownian motion in a tilted periodic potential. The approximation stems from the well known thermodynamic uncertainty relation. By applying a virial-like expansion, we provided a tighter lower limit solely in terms of the drift velocity and diffusion. The approach presented is systematically analyzed in the tight-binding regime. We also provide a relative simple rule to validate using the tight-binding approach based on drift and diffusion relations rather than energy barriers and forces. We also discuss the implications of our results outside the tight-binding regime.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0107554