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State-Dependent Noise and Interface Propagation

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Fluctuations and Order

Part of the book series: Institute for Nonlinear Science ((INLS))

Abstract

After some initial remarks about studies of complexity, motion in multistable systems, in which noise depends on the state of the system, is analyzed. The blowtorch theorem is reviewed, emphasizing that relative stability, in systems with competing states of local stability, depends on the noise along the whole path connecting the competing states. Kink motion in extended one-dimensional systems is reviewed. Kink motion in systems with state-dependent noise is treated through a heuristic approximation. Adding noise to the state on one side of a kink is equivalent to a bias force favoring the other state.

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References

  1. T. Toffoli, Int. J. Theor. Phys. 21, 165 (1982).

    Article  MathSciNet  Google Scholar 

  2. H. Kuhn, IBM J. Res. Dev. 32, 37 (1988).

    Article  Google Scholar 

  3. R. Landauer, Phys. World 6, 71 (April 1993).

    Google Scholar 

  4. R. Lewin, Complexity: Life at the Edge of Chaos (Macmillan, New York, 1992).

    Google Scholar 

  5. M.M. Waldrop, Complexity: The Emerging Science at the Edge of Order and Chaos (Simon & Schuster, New York, 1992).

    Google Scholar 

  6. R. Landauer, Phys. Today 31, 23 (November 1978).

    Article  Google Scholar 

  7. R. Landauer, in Bifurcation Theory and Applications in Scientific Disciplines, edited by O. Gurel and O. E. Rössler (Annals of the New York Academy of Sciences, New York, 1979), p. 433.

    Google Scholar 

  8. R. Landauer, Invited Opinion section, Am. J. Physiol. 241, R197 (1981).

    Google Scholar 

  9. R. Landauer, Physica A 194, 551 (1993).

    Article  ADS  Google Scholar 

  10. R. Landauer, in Dynamic Patterns in Complex Systems, edited by J.A.S. Kelso, A.J. Mandell, and M.F. Shlesinger (World Scientific, Singapore, 1988), p. 388.

    Google Scholar 

  11. R. Landauer, Physica A 168, 75 (1990).

    Article  ADS  Google Scholar 

  12. R. Landauer, J. Stat. Phys. 53, 233 (1988).

    Article  ADS  Google Scholar 

  13. D.W. Bol and R. De Bruyn Ouboter, Physica B 154, 56 (1988).

    Article  ADS  Google Scholar 

  14. D.W. Bol and R. De Bruyn Ouboter, Physica B 160, 56 (1989).

    Article  ADS  Google Scholar 

  15. M. Büttiker, Z. Phys. B 68, 161 (1987).

    Article  ADS  Google Scholar 

  16. N.G. van Kampen, IBM J. Res. Dev. 32, 107 (1988).

    Article  Google Scholar 

  17. M. Büttiker and R. Landauer, in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste (Plenum, New York, 1982), p. 111.

    Google Scholar 

  18. R. Landauer, Phys. Rev. A 15, 2117 (1977).

    Article  ADS  Google Scholar 

  19. R. Landauer, in The Maximum Entropy Formalism, edited by R.D. Levine and M. Tribus (MIT, Cambridge, 1979), p. 321.

    Google Scholar 

  20. A. Engel, Phys. Lett. 113A, 139 (1985).

    ADS  Google Scholar 

  21. L. Schimansky-Geier and Ch. Zülicke, Z. Phys. B 82, 157 (1991).

    Article  ADS  Google Scholar 

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© 1996 Springer-Verlag New York, Inc.

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Landauer, R. (1996). State-Dependent Noise and Interface Propagation. In: Millonas, M. (eds) Fluctuations and Order. Institute for Nonlinear Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3992-5_1

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  • DOI: https://doi.org/10.1007/978-1-4612-3992-5_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8463-5

  • Online ISBN: 978-1-4612-3992-5

  • eBook Packages: Springer Book Archive

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