Physics – Condensed Matter
Scientific paper
2003-09-26
Phys. Rev. E 69, 021104 (2004)
Physics
Condensed Matter
Scientific paper
10.1103/PhysRevE.69.021104
We consider a two-state model of non-Markovian stochastic resonance (SR) within the framework of the theory of renewal processes. Residence time intervals are assumed to be mutually independent and characterized by some arbitrary non-exponential residence time distributions which are modulated in time by an externally applied signal. Making use of a stochastic path integral approach we obtain general integral equations governing the evolution of conditional probabilities in the presence of an input signal. These novel equations generalize earlier integral renewal equations by Cox and others to the case of driving-induced non-stationarity. On the basis of these new equations a response theory of two state renewal processes is formulated beyond the linear response approximation. Moreover, a general expression for the linear response function is derived. The connection of the developed approach with the phenomenological theory of linear response for manifest non-Markovian SR put forward in [ I. Goychuk and P. Hanggi, Phys. Rev. Lett. 91, 070601 (2003)] is clarified and its range of validity is scrutinized. The novel theory is then applied to SR in symmetric non-Markovian systems and to the class of single ion channels possessing a fractal kinetics.
Goychuk Igor
Hänggi Peter
No associations
LandOfFree
Theory of non-Markovian Stochastic Resonance 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 Theory of non-Markovian Stochastic Resonance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of non-Markovian Stochastic Resonance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-650797