Non-Markovian Stochastic Resonance
| dc.creator | Goychuk, Igor | |
| dc.creator | Hanggi, Peter | |
| dc.date | 2003-03-20 | |
| dc.date | 2003-09-24 | |
| dc.date.accessioned | 2026-07-25T22:34:27Z | |
| dc.description | The phenomenological linear response theory of non-Markovian Stochastic Resonance (SR) is put forward for stationary two-state renewal processes. In terms of a derivation of a non-Markov regression theorem we evaluate the characteristic SR-quantifiers; i.e. the spectral power amplification (SPA) and the signal-to-noise ratio (SNR), respectively. In clear contrast to Markovian SR, a characteristic benchmark of genuine non-Markovian SR is its distinctive dependence of the SPA and SNR on small (adiabatic) driving frequencies; particularly, the adiabatic SNR becomes strongly suppressed over its Markovian counterpart. This non-Markovian SR theory is elucidated for a fractal gating dynamics of a potassium ion channel possessing an infinite variance of closed sojourn times. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0303413 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0303413 | |
| dc.identifier | Phys. Rev. Lett. 91, 070601 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.070601 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/90381 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Biological Physics | |
| dc.title | Non-Markovian Stochastic Resonance | |
| dc.type | text |