Skip to main content
Log in

Extension of statistical replacement to systems with time-correlated fluctuations

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Nonlinear systems with correlated stochastic parameters are approximated by simpler systems. This method is an extension of an earlier version of statistical replacement and statistical linearization. The extended method is applicable to systems with correlated fluctuations. We show how this general method reduces to the earlier methods in special cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. M. Sancho, J. San Miguel, S. L. Katz, and J. D. Gunton,Phys. Rev. A 26:1589 (1982).

    Google Scholar 

  2. K. Lindenberg and B. J. West,Physica 119A:485(1983).

    Google Scholar 

  3. J. Masoliver, B. J. West, and K. Lindenberg,Phys. Rev. A 33:2177 (1986).

    Google Scholar 

  4. B. J. West, G. Rovner, and K. Lindenberg,J. Stat. Phys. 30:633 (1983).

    Google Scholar 

  5. M. C. Valsakumar, K. P. N. Murthy, and G. Ananthakrishna,J. Stat. Phys. 30:617 (1983).

    Google Scholar 

  6. J. D. Eaves and W. P. Reinhard,J. Stat. Phys. 25:127 (1981).

    Google Scholar 

  7. J. Kottalam, K. Lindenberg, and B. J. West,J. Stat. Phys. 42:970 (1986).

    Google Scholar 

  8. K. Lindenberg, V. Seshadri, K. E. Shuler, and B. J. West, inProbabilistic Analysis and Related Topics, Vol. 3, A. T. Bharucha-Reid, ed. (Academic Press, New York, 1983).

    Google Scholar 

  9. K. Lindenberg and V. Seshadri,Physica A 109:483 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kottalam, J., West, B.J. & Lindenberg, K. Extension of statistical replacement to systems with time-correlated fluctuations. J Stat Phys 49, 347–367 (1987). https://doi.org/10.1007/BF01009968

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01009968

Key words

Navigation