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The effect of symmetry breaking on random walks and brownian motion

  • L.E. Reichl
  • P. Alpatov
Part I: Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 457)

Abstract

Many aspects of the dynamics of random walks and Brownian motion with detailed balance can be understood using techniques of classical and quantum chaos theory. Symmetry breaking coupling between degrees of freedom can lead to mutual repulsion of decay rates and in some cases to a change in the rate of approach to equilibrium.

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References

  1. 1.
    L.E. Reichl, The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, Berlin, 1992).Google Scholar
  2. 2.
    J. von Neumann and E.P. Wigner, Phys. Z. 30, 467 (1929).Google Scholar
  3. 3.
    C.W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1983).Google Scholar
  4. 4.
    N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, New York, 1981).Google Scholar
  5. 5.
    Mark M. Millonas and L.E. Reichl, Phys. Rev. Lett. 68, 3125 (1992).Google Scholar
  6. 6.
    P. Alpatov and L.E. Reichl, Phys. Rev. E49, 2630 (1994).Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • L.E. Reichl
    • 1
  • P. Alpatov
    • 1
  1. 1.Center for Studies in Statistical Mechanics and Complex SystemsThe University of Texas at AustinAustin

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