Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages, 7 figures

Scientific paper

The irreversibility of a stationary time series can be quantified using the Kullback-Leibler divergence (KLD) between the probability to observe the series and the probability to observe the time-reversed series. Moreover, this KLD is a tool to estimate entropy production from stationary trajectories since it gives a lower bound to the entropy production of the physical process generating the series. In this paper we introduce analytical and numerical techniques to estimate the KLD between time series generated by several stochastic dynamics with a finite number of states. We examine the accuracy of our estimators for a specific example, a discrete flashing ratchet, and investigate how close is the KLD to the entropy production depending on the number of degrees of freedom of the system that are sampled in the trajectories.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-447181

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.