English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The entropy production rate (EPR) offers a quantitative measure of timereversal symmetry breaking in non-equilibrium systems. It can be defined eitherat particle level or at the level of coarse-grained fields such as density; theEPR for the latter quantifies the extent to which these coarse-grained fieldsbehave irreversibly. In this work, we first develop a general method to computethe EPR of scalar Langevin field theories with additive noise. This large classof theories includes active versions of Model A (non-conserved densitydynamics) and Model B (conserved) and also models where both types of dynamicsare simultaneously present (such as Model AB). Treating the scalar field $\phi$(and its time derivative $\dot\phi$) as the sole observable(s), we arrive at anexpression for the EPR that is non-negative for every field configuration andis quadratic in the time-antisymmetric component of the dynamics. Our generalexpression is a function of the quasipotential, which determines the fullprobability distribution for configurations, and is not generally calculable.To alleviate this difficulty, we present a small-noise expansion of the EPR,which only requires knowledge of the deterministic (mean-field) solution forthe scalar field in steady state, which generally is calculable, at leastnumerically. We demonstrate this calculation for the case of Model AB. We thenpresent a similar EPR calculation for Model AB with the conservative andnon-conservative contributions to $\dot\phi = \dot\phi_{\rm A} + \dot\phi_{\rmB}$ viewed as separately observable quantities. The results are qualitativelydifferent, confirming that the field-level EPR depends on the choice ofcoarse-grained information retained within the dynamical description.

Steady state entropy production rate for scalar Langevin field theories