Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
| Autor: | Hartich, David, Godec, Aljaz |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 127, 080601 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.127.080601 |
| Popis: | In a finite system driven out of equilibrium by a constant external force the thermodynamic uncertainty relation (TUR) bounds the variance of the conjugate current variable by the thermodynamic cost of maintaining the non-equilibrium stationary state. Here we highlight a new facet of the TUR by showing that it also bounds the time-scale on which a finite system can exhibit anomalous kinetics. In particular, we demonstrate that the TUR bounds subdiffusion in a single file confined to a ring as well as a dragged Gaussian polymer chain even when detailed balance is satisfied. Conversely, the TUR bounds the onset of superdiffusion in the active comb model. Remarkably, the fluctuations in a comb model evolving from a steady state behave anomalously as soon as detailed balance is broken. Our work establishes a link between stochastic thermodynamics and the field of anomalous dynamics that will fertilize further investigations of thermodynamic consistency of anomalous diffusion models. Comment: 6 pages, 4 figures (Supplemental material 3 pages, 1 figure), published version in PRL, Corrected Ref. 53 and typos |
| Databáze: | arXiv |
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