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Quasi-monochromatic noise in bistable systems: The nature of large occasional fluctuations

Il Nuovo Cimento D

Summary

The response of an overdamped system to quasi-monochromatic (high-frequency narrow band) noise (QMN) has been investigated by means of analogue electronic experiments. Measurements of the stationary and prehistory probability distributions demonstrate that large occasional, fluctuations are markedly different in character from those that occur when the system is driven by white or exponentially correlated noise. In particular, we report the first experimental observation of a switching point, a critical value of the coordinatex that separates regions which, with an overwhelming probability, are accessed by the fluctuating system along topologically different paths. The results are discussed in terms of, and shown to be consistent with, an existing theoretical description of the QMN-driven system.

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References

  1. Einstein A.,Ann. Phys. (Leipzig),17 (1905) 549.

    MATH  ADS  Google Scholar 

  2. von Smoluchowski M.,Ann. Phys. (Leipzig),21 (1906) 756.

    MATH  Google Scholar 

  3. See, for example,Lindenberg K., West B. J. andTsironis G. P.,Rev. Solid State Sci.,3 (1990) 143;Brand H. R., Doering C. R. andEcke R. E.,J. Stat. Phys.,54 (1989) 1111 and references therein;Lindenberg K., West B. J. andMasoliver J., inNoise in Nonlinear Dynamical Systems, edited byF. Moss andP. V. E. McClintock, Vol.1 (Cambridge University Press, Cambridge) 1989, p. 110; andGrigolini P., inNoise in Nonlinear Dynamical Systems, edited byF. Moss andP. V. E. McClintock, Vol.1 (Cambridge University Press, Cambridge) 1989, p. 161.

    Google Scholar 

  4. Dykman M. I.,Phys. Rev. A,42 (1990) 2020.

    Article  MathSciNet  ADS  Google Scholar 

  5. Dykman M. I., McClintock P. V. E., Stein N. D. andStocks N. G.,Phys. Rev. Lett.,67 (1991) 933.

    Article  ADS  Google Scholar 

  6. Dykman M. I., Mannella R., McClintock P. V. E., Stein N. D. andStocks N. G.,Phys. Rev. E,47 (1993) 3996.

    Article  ADS  Google Scholar 

  7. Neiman A. andSchimansky-Geier L.,Phys. Rev. Lett.,72 (1994) 2988.

    Article  ADS  Google Scholar 

  8. Igarashi A. andMunakata T.,J. Phys. Soc. Jpn.,57 (1988) 2439.

    Article  Google Scholar 

  9. Ebeling W. andSchimansky-Geier L., inNoise in Nonlinear Dynamical Systems, edited byF. Moss andP. V. E. McClintock, Vol.1 (Cambridge University Press, Cambridge) 1989, p. 279.

    Google Scholar 

  10. Schimansky-Geier L. andZülicke Ch.,Z. Phys. B,79 (1990) 451.

    Article  Google Scholar 

  11. Dykman M. I., McClintock P. V. E., Stein N. D. andStocks N. G.,Phys. Rev. Lett.,68 (1992) 2718.

    Article  ADS  Google Scholar 

  12. Maier R. S. andStein D. L.,Phys. Rev. Lett.,71 (1993) 1783;Phys. Rev. E,48 (1993) 931;Chinarov V. A., Dykman M. I. andSmelyanskiy V. N.,Phys. Rev. E,47 (1993) 2448.

    Article  ADS  Google Scholar 

  13. Dykman M. I., Millonas M. andSmelyanskiy V. N.,Phys. Lett. A,195 (1994) 53.

    Article  MATH  MathSciNet  ADS  Google Scholar 

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Dykman, M.I., Mannella, R., McClintock, P.V.E. et al. Quasi-monochromatic noise in bistable systems: The nature of large occasional fluctuations. Il Nuovo Cimento D 17, 755–764 (1995). https://doi.org/10.1007/BF02451832

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  • DOI: https://doi.org/10.1007/BF02451832

PACS 82.20

PACS 05.40

PACS 02.50

PACS 01.30.Cc

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