Unified thermodynamic-kinetic uncertainty relation
- URL: http://arxiv.org/abs/2203.11501v2
- Date: Fri, 15 Apr 2022 07:17:53 GMT
- Title: Unified thermodynamic-kinetic uncertainty relation
- Authors: Van Tuan Vo, Tan Van Vu, Yoshihiko Hasegawa
- Abstract summary: We derive a tighter bound on the precision of currents in terms of both thermodynamic and kinetic quantities.
The unified thermodynamic-kinetic uncertainty relation leads to a tighter classical speed limit.
The proposed framework can be extended to apply to state observables and systems with unidirectional transitions.
- Score: 3.480626767752489
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Understanding current fluctuations is of fundamental importance and paves the
way for the development of practical applications. According to the
thermodynamic and kinetic uncertainty relations, the precision of currents can
be constrained solely by total entropy production or dynamical activity. In
this study, we derive a tighter bound on the precision of currents in terms of
both thermodynamic and kinetic quantities, demonstrating that these quantities
jointly constrain current fluctuations. The thermodynamic and kinetic
uncertainty relations become particular cases of our result in asymptotic
limits. Intriguingly, the unified thermodynamic-kinetic uncertainty relation
leads to a tighter classical speed limit, refining the time constraint on the
system's state transformation. The proposed framework can be extended to apply
to state observables and systems with unidirectional transitions, thereby
providing a constraint on the precision of the first-passage time.
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