Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

TL;DR

This paper develops a method to estimate a lower bound on the entropy production rate in Langevin systems from partial observations, revealing how coarse-graining affects irreversibility measures.

Contribution

It introduces a novel approach to infer entropy production from limited data by analyzing waiting time distributions and irreversibility under coarse-graining.

Findings

Lower bound on entropy production rate can be estimated from partial data.

Spatial resolution influences dwell-time asymmetry and irreversibility measures.

Method reveals effects of coarse-graining on thermodynamic irreversibility.

Abstract

This paper shows an estimation of a lower bound on the total entropy production rate(EPR) for a system following Langevin dynamics with a single observed variable coarse-grained into a few discrete states, by invoking the underlying broken time-reversal symmetry. We estimate the irreversibility in waiting time distributions of the partially observed system and find the effect of spatial resolution on the mean dwell-time asymmetry and the EPR.