Drift and Diffusion in Periodically Driven Renewal Processes

Details Drift and Diffusion in Periodically Driven Renewal Processes Drift and Diffusion in Periodically Driven Renewal Processes

2005-09-19

arxiv.org/abs/cond-mat/0509485v1

Physics

Condensed Matter

Statistical Mechanics

29 pages, 6 figures, submitted to Journal of Statistical Physics

Scientific paper

10.1007/s10955-006-9029-7

We consider the drift and diffusion properties of periodically driven renewal processes. These processes are defined by a periodically time dependent waiting time distribution, which governs the interval between subsequent events. We show that the growth of the cumulants of the number of events is asymptotically periodic and develop a theory which relates these periodic growth coefficients to the waiting time distribution defining the periodic renewal process. The first two coefficients, which are the mean frequency and effective diffusion coefficient of the number of events are considered in greater detail. They may be used to quantify stochastic synchronization.

Affiliated with

Also associated with

No associations

Rating

Drift and Diffusion in Periodically Driven Renewal Processes 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 Drift and Diffusion in Periodically Driven Renewal Processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Drift and Diffusion in Periodically Driven Renewal Processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-299027