Rights statement: The final publication is available at Springer via http://dx.doi.org/10.1007/BF01053982
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Stochastic resonance : linear response and giant nonlinearity.
AU - Dykman, Mark
AU - Luchinsky, D. G.
AU - Mannella, R.
AU - McClintock, Peter V. E.
AU - Stein, N. D.
AU - Stocks, N. G.
N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/BF01053982 Proceedings of the NATO Advanced Research Workshop: Stochastic Resonance in Physics and Biology, 30 March - 3 April 1992, San Diego CA.
PY - 1993/1
Y1 - 1993/1
N2 - The response of a bistable system to a weak periodic force is investigated using linear response theory (LRT) and by analogue electronic experiment. For quasithermal systems the response, and in particular its increase with increasing noise intensity D, are described by the fluctuation dissipation relations. For small D the low-frequency susceptibility of the system chi(omega) has been found in explicit form allowing for both forced oscillations about the states and periodic modulation of the probabilities of fluctuational transitions between the states. It is shown, both theoretically and experimentally, that a phase lag phi between the force and the response passes through a maximum when D is tuned through the range where stochastic resonance (SR) occurs. A giant nonlinearity of the response is shown to arise for small D and small frequencies of the driving force. It results in the signal induced by a sinusoidal force being nearly rectangular. The range of applicability of LRT is established.
AB - The response of a bistable system to a weak periodic force is investigated using linear response theory (LRT) and by analogue electronic experiment. For quasithermal systems the response, and in particular its increase with increasing noise intensity D, are described by the fluctuation dissipation relations. For small D the low-frequency susceptibility of the system chi(omega) has been found in explicit form allowing for both forced oscillations about the states and periodic modulation of the probabilities of fluctuational transitions between the states. It is shown, both theoretically and experimentally, that a phase lag phi between the force and the response passes through a maximum when D is tuned through the range where stochastic resonance (SR) occurs. A giant nonlinearity of the response is shown to arise for small D and small frequencies of the driving force. It results in the signal induced by a sinusoidal force being nearly rectangular. The range of applicability of LRT is established.
U2 - 10.1007/BF01053982
DO - 10.1007/BF01053982
M3 - Journal article
VL - 70
SP - 463
EP - 478
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 1-2
ER -