Abstract
We derive analytical expressions for the signal-to-noise ratio of a periodically driven chain of coupled spins placed into a heat bath. The analysis closely follows the pioneering work of Glauber for the stochastic Ising model. We find optimal bath temperatures and coupling constants where the SNR maximises. Special attention is given to a wavy excitation of the chain where we discuss the dependence of the SNR on the wave number.
Preview
Unable to display preview. Download preview PDF.
References
Brey J.J. and Prados A. (1996): Phys. Lett. A216, 240.
Bulsara A. and Schmera G. (1993): Phys. Rev. E47, 3734
Bulsara A., Maren A., and Schmera G. (1993): Biol. Cybern. 70, 145
Inchiosa M.E. and Bulsara A.R. (1995): Phys. Lett.A200 283 and Phys. Rev. E52, 327.
Bulsara A. and Gammaitoni L. (1996): Physics Today, March 1996, 39.
Glauber R.J. (1963): J. Math. Phys. 4, 294.
Hänggi P., Talkner P., and Borkovec M. (1990): Rev. Mod. Phys. 62, 251.
Hänggi P. and Thomas, H. (1982): Phys. Rep. 88, 207.
Jung P. and Hänggi P. (1989): Europhys. Lett. 8, 505.
Jung P., Behn U., Pantazelou E., and Moss F. (1992): Phys. Rev. A46, R1709.
Jung P. (1993): Phys. Rep. 234, 175.
Lindner J., Meadows B., Ditto W., Inchiosa M., and Bulsara A. (1995): Phys. Rev.-Lett. 75, 3; (1996): Phys. Rev. E53, 2081.
Marchesoni F., Gammaitoni L., and Bulsara A. (1996): Phys. Rev. Lett. 76, 2609.
Marchesoni F. (1996): contribution to this issue.
McNamara B. and Wiesenfeld K. (1989): Phys. Rev. A39, 4854.
Morillo M., Goméz-Ordoñez J., and Casado J.M. (1995): Phys. Rev. E52, 316.
Moss F., Pierson D., and O'Gorman D. (1994): Int. J. Bif. Chaos 4(6), 1383.
Néda Z. (1995): Phys. Rev. E51, 5315.
Neiman A. and Schimansky-Geier L. (1995): Phys. Lett. A197, 379.
Wiesenfeld K. and Moss F. (1995): Nature 373, 5 January, 33.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this paper
Cite this paper
Schimansky-Geier, L., Siewert, U. (1997). A glauber-dynamics approach to coupled stochastic resonators. In: Schimansky-Geier, L., Pöschel, T. (eds) Stochastic Dynamics. Lecture Notes in Physics, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105614
Download citation
DOI: https://doi.org/10.1007/BFb0105614
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62893-4
Online ISBN: 978-3-540-69040-5
eBook Packages: Springer Book Archive