Abstract
In this chapter, we discuss a surprising discovery made in the 1980s known as stochastic resonance. It concerns a cooperative effect seen in certain nonlinear systems in the presence of random noise. The signature of stochastic resonance is that the coherence of the system output improves with an increase of random noise, at least over some range of noise levels. The subject has been vigorously studied over the past decade. Stochastic resonance is now known to occur in numerous examples spanning a wide range of physical systems. The lion’s share of the research has focussed on systems that can be adequately described by classical physics, though some attention has been devoted to quantum mechanical realizations.
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References
K. Wiesenfeld, F. Jaramillo: Chaos 8, 539 (1998)
F. Moss, K. Wiesenfeld: Scientific American 273, 66 (1995)
L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni: Rev. Mod. Phys. 70, 223 (1998)
see, e.g., S.O. Rice, in: Selected Papers on Noise, Stochastic Processes, ed. by N. Wax (Dover, New York 1954)
P. Jung: Phys. Rep. 234, 175 (1993)
C. Gardiner: Handbook of Stochastic Methods, 2nd ed. (Springer, Berlin 1983)
M. Grifoni, P. Hänggi: Phys. Rev. Lett. 76, 1611 (1996), Phys. Rev. E 54, 1390 (1996)
T. Wellens, A. Buchleitner: Phys. Rev. Lett. 84, 5118 (2000)
A. Bulsara, L. Gammaitoni: Physics Today 49, 39 (March 1996)
S. Fauve, F. Heslot: Phys. Lett. A 97, 5 (1983)
B. McNamara, K. Wiesenfeld, R. Roy: Phys. Rev. Lett. 60, 2626 (1988)
R. Löfstedt, S. N. Coppersmith: Phys. Rev. Lett. 72, 1947 (1994)
S. Chakravarty, A. J. Leggett: Phys. Rev. Lett. 52, 5 (1984)
I. Goychuk, P. Hänggi: Phys. Rev. E 59, 5137 (1999)
T. Wellens, A. Buchleitner: Chem. Phys. 268, 131 (2001)
B. T. H. Varcoe et al.: Nature 403, 743 (2000)
E. T. Jaynes, F.W. Cummings: Proc. IEEE 51, 89 (1963)
J. Krause, M. O. Scully, H. Walther: Phys. Rev. A 34, 2032 (1986)
P. Meystre, M. Sargent III: Elements of Quantum Optics (Springer, Berlin 1990)
O. Benson, G. Raithel, H. Walther: Phys. Rev. Lett. 72, 3506 (1994)
P. Filipowicz, J. Javanainen, P. Meystre: Phys. Rev. A 34, 3077 (1986)
T. Wellens, A. Buchleitner: J. Phys. A 32, 2895 (1999)
K. Wiesenfeld et al.: Phys. Rev. Lett. 72, 2125 (1994)
A. Buchleitner, R. N. Mantegna: Phys. Rev. Lett. 80, 3932 (1998)
L. Viola et al.: Phys. Rev. Lett. 84, 5466 (2000)
S. F. Huelga, M. Plenio: Phys. Rev. A 62, 52111 (2000)
L. Sanchez-Palencia et al.: Phys. Rev. Lett. 88, 133903 (2002)
P. K. Rekdal, B.-S. K. Skagerstam: Physica A 305, 404 (2002)
A. D. Hibbs: ‘Detection and communications device employing stochastic resonance’, U.S. Patent No. 5574369 (1996)
A. R. Bulsara et al.: ‘Controlled stochastic resonance circuit’, U.S. Patent No. 6285249 (2001)
J. Niemi, A. Priplata, M. Salen, J. Harry, J. J. Collins: Noise-enhanced balance control, preprint (2001)
J. K. Douglass, L. Wilkens, E. Pantazelou, F. Moss: Nature (London) 365, 337 (1993)
S. M. Bezrukov, I. Vodyanoy: Nature (London) 378, 362 (1995)
J. E. Levin, J. P. Miller: Nature (London) 380, 165 (1996)
J. J. Collins, T. T. Imhoff, P. Grigg: J. Neurophysiology 76, 642 (1996)
F. Jaramillo, K. Wiesenfeld: Nature Neuro. 1, 384 (1998)
S. M. Bezrukov, I. Vodyanoy: Nature (London) 385, 319 (1997)
J. J. Collins, C. C. Chow, T. T. Imhoff: Nature (London), 376, 236–238 (1995)
J. F. Lindner, B. K. Meadows, W. L. Ditto, M. E. Inchiosa, A. R. Bulsara: Phys. Rev. Lett. 75, 3–6 (1995)
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Wiesenfeld, K., Wellens, T., Buchleitner, A. (2002). Stochastic Resonance. In: Buchleitner, A., Hornberger, K. (eds) Coherent Evolution in Noisy Environments. Lecture Notes in Physics, vol 611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45855-7_3
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DOI: https://doi.org/10.1007/3-540-45855-7_3
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