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The effect of symmetry breaking on random walks and brownian motion

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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

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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. L.E. Reichl, The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, Berlin, 1992).

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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Reichl, L., Alpatov, P. (1995). The effect of symmetry breaking on random walks and brownian motion. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_62

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  • DOI: https://doi.org/10.1007/3-540-60188-0_62

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

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