SKM 2021 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Statistical physics of biological systems (joint session BP/DY)

DY 1.3: Talk

Monday, September 27, 2021, 10:45–11:00, H1

How is anomalous diffusion compatible with thermodynamics in biophysical systems? — •David Hartich and Aljaz Godec — Mathematical bioPhysics Group, MPI-BPC, Göttingen, Germany

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.

[1] DH, A. Godec, Phys Rev. Lett. (in press), arXiv:2102.06678.