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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The cycle current is a crucial quantity in stochastic thermodynamics. Theabsolute and net cycle currents of a Markovian system can be defined in theloop-erased (LE) or spanning tree (ST) manner. Here we make a comparative studybetween the large deviations and fluctuation theorems for LE and ST currents,i.e. cycle currents defined in the LE and ST manners. First, we derive theexact joint distribution and large deviation rate function for the LE currentsof a system with a cyclic topology and also obtain the exact rate function forthe ST currents of a general system. The relationship between the ratefunctions for LE and ST currents is clarified and the analytical results areapplied to examine the fluctuations in the product rate of a three-stepreversible enzyme reaction. Furthermore, we examine various types offluctuation theorems satisfied by LE and ST currents and clarify their rangesof applicability. We show that both the absolute and net LE currents satisfythe strong form of all types of fluctuation theorems. In contrast, the absoluteST currents do not satisfy fluctuation theorems, while the net ST currents onlysatisfy the weak form of fluctuation theorems under the periodic boundarycondition.

Large deviations and fluctuation theorems for cycle currents defined in the loop-erased and spanning tree manners: a comparative study