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

We consider the fluctuations of generalized currents in stochastic Markoviandynamics. The large deviations of current fluctuations are shown to obey aGallavotti-Cohen (GC) type symmetry in systems with a finite state space.However, this symmetry is not guaranteed to hold in systems with an infinitestate space. A simple example of such a case is the Zero-Range Process (ZRP).Here we discuss in more detail the already reported breakdown of the GCsymmetry in the context of the ZRP with open boundaries and we give a physicalinterpretation of the phases that appear. Furthermore, the earlier analyticalresults for the single-site case are extended to cover multiple-site systems.We also use our exact results to test an efficient numerical algorithm ofGiardina, Kurchan and Peliti, which was developed to measure the current largedeviation function directly. We find that this method breaks down in somephases which we associate with the gapless spectrum of an effectiveHamiltonian.

On the range of validity of the fluctuation theorem for stochastic Markovian dynamics