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  Thermodynamic uncertainty relation bounds the extent of anomalous diffusion

Hartich, D., & Godec, A. (2021). Thermodynamic uncertainty relation bounds the extent of anomalous diffusion. Physical Review Letters, 127(8): 080601. doi:10.1103/PhysRevLett.127.080601.

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Hartich, D.1, Author           
Godec, A.1, Author           
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1Research Group of Mathematical Biophysics, MPI for Biophysical Chemistry, Max Planck Society, ou_2396692              

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 Abstract: 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 nonequilibrium stationary state. Here we highlight a new facet of the TUR by showing that it also bounds the timescale 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.

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Language(s): eng - English
 Dates: 2021-08-162021-08-20
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.127.080601
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 7 Volume / Issue: 127 (8) Sequence Number: 080601 Start / End Page: - Identifier: -