English

Thermodynamic uncertainty relations for many-body systems with fast jump rates and large occupancies

Statistical Mechanics 2022-01-12 v1

Abstract

A universal large N\mathcal{N} theory of nonequilibrium fluctuations emerges in the limit of fast jump rates and large occupancies. We use this theory to derive a set of coarse grained thermodynamic uncertainty relations (TUR) -- one of them being an activity bound. Importantly, the activity serves as a tighter bound for the entropy production in 1D systems. These results are particularly useful in the many-body regime, where typically a coarse grained approach is required to handle the large microscopic state space.

Keywords

Cite

@article{arxiv.2108.09979,
  title  = {Thermodynamic uncertainty relations for many-body systems with fast jump rates and large occupancies},
  author = {Ohad Shpielberg and Arnab Pal},
  journal= {arXiv preprint arXiv:2108.09979},
  year   = {2022}
}