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Measurements of two-dimensional densities for a bistable device driven by colored noise

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Zeitschrift für Physik B Condensed Matter

Abstract

We have constructed an electronic circuit which accurately mimics the dynamics of a nonequilibrium, bistable flow driven by additive, exponentially correlated, Gaussian noise. The noise voltage and voltages representing the velocity and displacement were measured, digitized and then assembled into the stationary, statistical densitiesW(V n ,X) andW \((\dot X,X)\) for several noise intensities and correlation times. Our measurements are in good agreement with the theoretical results of Jung and Risken described in the preceeding paper.

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References

  1. see for example Horsthemke, W., Kondepudi, D.K. (eds.), Fluctuations and sensitivity in nonequilibrium systems, Berlin, Heidelberg, New York, Tokyo: Springer 1984

    Google Scholar 

  2. Nicolis, G.: Rep. Prog. Phys.42, 225 (1979)

    Google Scholar 

  3. Hanggi, P., Thomas, H.: Phys. Rep.88, 207 (1982)

    Google Scholar 

  4. Grigolini, P.J.: Stat. Phys.27, 283 (1982)

    Google Scholar 

  5. Kondepudi, D.K., Moss, F., McClintock, P.V.E.: Physica, to be published

  6. Landauer, R.: Phys. Today31, 23 (1978), Helv. Phys. Acta56, 847 (1983)

    Google Scholar 

  7. Graham, R., Höhnerbach, M., Schenzle, A.: Phys. Rev. Lett.48, 1396 (1982)

    Google Scholar 

  8. Graham, R.: Phys. Rev. A25, 3234 (1982)

    Google Scholar 

  9. Graham, R., Schezle, A.: Phys. Rev.A25, 1731 (1982)

    Google Scholar 

  10. Hanggi, P., Marchesoni, F., Grigolini, R.: Z. Phys. B-Condensed Matter56, 333 (1984)

    Google Scholar 

  11. Sancho, J.M., San Miguel, M., Yamazaki, H., Kawakuba, T.: Physica116A, 560 (1982)

    Google Scholar 

  12. Hanggi, P., Riseborough, P.: Phys. Rev.A27, 3379 (1983)

    Google Scholar 

  13. Hanggi, P., Mroczkowski, T., Moss, F., McClintock, P.V.E.: Phys. Rev.A32, 695 (1985)

    Google Scholar 

  14. Hanggi, P.: Z. Phys. B — Condensed Matter31 407 (1978); In: Stochastic Processes Applied to Physics. Pesquera, L., Rodriguez, M. (eds.). Singapore: World Scientific 1985

    Google Scholar 

  15. Horsthemke, W., Lefever, R.: Noise induced transitions. In: Springer Series in Synergetics. Vol. 15. Berlin. Heidelberg, New York, Tokyo: Springer 1984

    Google Scholar 

  16. Smythe, J., Moss, F., McClintock, P.V.E.: Phys. Rev. Lett.51, 1062 (1983)

    Google Scholar 

  17. Moss, F., Welland, G.V.: Phys. Rev.A25, 3389 (1982)

    Google Scholar 

  18. Moss, F., In: Chaos in nonlinear dynamical systems. Chandra, J. (ed.), p. 119, Philadelphia: Siam 1984

    Google Scholar 

  19. Welland, G.V., Moss, F.: Phys. Lett.89A, 273 (1982)

    Google Scholar 

  20. Robinson, S.D., Moss, F., McClintock, P.V.E.: J. Phys. A18, L89 (1985)

    Google Scholar 

  21. Brand, H.R., Kai, S., Wakabayashi, S.: Phys. Rev. Lett.54, 555 (1985)

    Google Scholar 

  22. Risken, H.: The Fokker-Planck Equation. Capt. 11, Berlin, Heidelberg, New York, Tokyo: Springer 1984

    Google Scholar 

  23. Lucke, M., Schank, F.: Phys. Rev. Lett.54, 1465 (1985)

    Google Scholar 

  24. Reichl, L.E., Zheng, W.M.: Phys. Rev.A29, 2186 (1984)

    Google Scholar 

  25. Voigtlaender, K., Risken, H.: J. Stat. Phys. (to be published)

  26. Graham, R., Schenzle, A.: Phys. Rev.A26, 1676 (1982)

    Google Scholar 

  27. Festa, C., Fronzoni, L., Grigolini, P., Marchesoni, F.: Phys. Lett,102A, 95 (1984)

    Google Scholar 

  28. Jung, P., Risken, H.: Z. Phys. B-Condensed Matter61B, 367 (1985)

    Google Scholar 

  29. Faetti, S., Festa, C., Fronzoni, L., Grigolini, P., Marchesoni, F., Palleschi, V.: Phys. Lett.99A, 25 (1983)

    Google Scholar 

  30. Smythe, J., Moss, F., McClintock, P.V.E.: Phys. Rev. Lett.51, 1062 (1983)

    Google Scholar 

  31. For a review, see Moss, F., McClintock, P.V.E.: in, p. 134

    Google Scholar 

  32. see for example, Brophy, J.J.: Basic electronics for scientists, pp. 130–133, New York: McGraw-Hill 1972

    Google Scholar 

  33. Type AD534, Analog Devices, P.O. Box 280, Norwood, Mass. 02062, USA

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Authors and Affiliations

  1. Department of Physics, University of Missouri-St. Louis, 63121, St. Louis, MO, USA

    F. Moss

  2. Department of Physics, University of Lancaster, La1 4YB, Lancaster, UK

    P. V. E. McClintock

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  1. F. Moss
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  2. P. V. E. McClintock
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Moss, F., McClintock, P.V.E. Measurements of two-dimensional densities for a bistable device driven by colored noise. Z. Physik B - Condensed Matter 61, 381–386 (1985). https://doi.org/10.1007/BF01317806

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  • DOI: https://doi.org/10.1007/BF01317806

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