Dissipation Bounds All Steady-State Current Fluctuations.
By Todd R. Gingrich, Jordan M. Horowitz, N. Perunov, Jeremy L. England. Physical Review Letters, 2015
594 citations recorded by the source corpus.
Near equilibrium, small current fluctuations are described by a Gaussian distribution with a linear-response variance regulated by the dissipation. Here, we demonstrate that dissipation still plays a dominant role in structuring large fluctuations arbitrarily far from equilibrium. In particular, we prove a linear-response-like bound on the large deviation function for currents in Markov jump processes. We find that nonequilibrium current fluctuations are always more likely than what is expected from a linear-response analysis. As a small-fluctuations corollary, we derive a recently conjectured uncertainty bound on the variance of current fluctuations.
Subfields: Cognitive Neuroscience, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b4db4bc6c2b65162b954ff8745eb667f136b7c82
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Citations in the corpus
- Current fluctuations and transport efficiency for general Langevin systems (2017, result): “In contrast to previous studies [22, 40], our proof of the bound does not rely on large deviation arguments, but follows directly from the path integral representation of the generating function.”
- Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits (2022, background): “be increased to achieve a high precision of currents [13] and fast state transformation [16].”
- Stochastic thermodynamics: From principles to the cost of precision (2017, methodology): “Hence, the rate function for any current is bounded by a simple quadratic function whose curvature is determined by the dissipation rate as first conjectured in [29] and proven along the lines shown here in [28], see also [30].”
- Universal bound on the efficiency of molecular motors (2016, background): “Since the uncertainty relation becomes exact within linear response for unicyclic systems [19,20], the bound is also saturated for forces close to ∆μ/d.”
- Discrete-time thermodynamic uncertainty relation (2017, unknown): “Originally, the above relation was obtained as a long-time result for systems with a finite state space [3].”
- Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound (2018, background): “For such a non-equilibrium steady state, the thermodynamic uncertainty relation [24, 25] states that the rate of change of the currents is bounded from above by the rate of entropy production, ∣∣dt〈q〉st t ∣∣ ≤√Dq√σtot,st, (12)”