Thermodynamic bounds for diffusion in non-equilibrium systems with multiple timescales

Abstract

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to previous results and also holds at finite time. We apply our findings to experimental and numerical data for a many-body interacting granular fluid, characterized by regimes of anomalous diffusion. In some cases, our relation can distinguish between equilibrium and non-equilibrium behavior, a non-trivial inference task, particularly for Gaussian processes.

One file with Main text and appendix

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Supercooled Liquids for Pedestrians
• Cages and anomalous diffusion in vibrated dense granular media
• Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
• Inference in non-equilibrium systems from incomplete information: the case of linear systems and its pitfalls
• Universal form of thermodynamic uncertainty relation for Langevin dynamics
• Dynamical collective memory in fluidized granular materials
• Microscopic theory for the diffusion of an active particle in a crowded environment
• Slow time scales in a dense vibrofluidized granular material
• A thermodynamic uncertainty relation for a system with memory
• Stochastic thermodynamics of a piezoelectric energy harvester model
• Collective drifts in vibrated granular packings: the interplay of friction and structure

Cited by in corpus (7)

• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Stochastic thermodynamics of a probe in a fluctuating correlated field
• Conceptual and practical approaches for investigating irreversible processes
• Thermodynamic uncertainty relations in the presence of non-linear friction and memory
• Statistical features of systems driven by non-Gaussian processes: theory & practice
• Heat production in a stochastic system with nonlinear time-delayed feedback
• Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester