Phase velocity and phase diffusion in periodically driven discrete state systems

Details Phase velocity and phase diffusion in periodically driven discrete state systems Phase velocity and phase diffusion in periodically driven discrete state systems

2005-01-05

arxiv.org/abs/cond-mat/0501078v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures

Scientific paper

10.1103/PhysRevE.71.031112

We develop a theory to calculate the effective phase diffusion coefficient and the mean phase velocity in periodically driven stochastic models with two discrete states. This theory is applied to a dichotomically driven Markovian two state system. Explicit expressions for the mean phase velocity, the effective phase diffusion coefficient and the P\'eclet number are analytically calculated. The latter shows as a measure of phase-coherence forced synchronization of the stochastic system with respect to the periodic driving. In a second step the theory is applied to a non Markovian two state model modeling excitable systems. The results prove again stochastic synchronization to the periodic driving and are in good agreement with simulations of a stochastic FitzHugh-Nagumo system.

Affiliated with

Also associated with

No associations

Rating

Phase velocity and phase diffusion in periodically driven discrete state 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 Phase velocity and phase diffusion in periodically driven discrete state systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase velocity and phase diffusion in periodically driven discrete state systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-531740