Saved in:
Bibliographic Details
Main Author: Zia, R. K. P.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.14738
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915006670438400
author Zia, R. K. P.
author_facet Zia, R. K. P.
contents The evolution of physical systems are often modeled by simple Markovian processes. When settled into stationary states, the probability distributions of such systems are time independent, by definition. However, they do not necessarily fall within the framework of equilibrium statistical mechanics. Instead, they may be non-equilibrium steady states (NESS). One distinguished feature of NESS is the presence of time reversal asymmetry (TRA) and persistent probability current loops. These loops lead naturally to the notion of probability angular momenta, which play a role on the same footing as the noise covariance in stochastic processes. Illustrating with simulations of simple models and physical data, we present ways to detect these signals of TRA, from the subtle to the prominent.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14738
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Signals of Detailed Balance Violation in Nonequilibrium Stationary States: Subtle, Manifest, and Extraordinary
Zia, R. K. P.
Statistical Mechanics
The evolution of physical systems are often modeled by simple Markovian processes. When settled into stationary states, the probability distributions of such systems are time independent, by definition. However, they do not necessarily fall within the framework of equilibrium statistical mechanics. Instead, they may be non-equilibrium steady states (NESS). One distinguished feature of NESS is the presence of time reversal asymmetry (TRA) and persistent probability current loops. These loops lead naturally to the notion of probability angular momenta, which play a role on the same footing as the noise covariance in stochastic processes. Illustrating with simulations of simple models and physical data, we present ways to detect these signals of TRA, from the subtle to the prominent.
title Signals of Detailed Balance Violation in Nonequilibrium Stationary States: Subtle, Manifest, and Extraordinary
topic Statistical Mechanics
url https://arxiv.org/abs/2402.14738