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The Effect of Chaos on a Mean First-Passage Time

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Abstract

Brownian particles driven by time-independent or time-periodic forces can be described in terms of an underlying conservative Hamiltonian system. When the Hamiltonian system undergoes a transition to chaos, the decay rates and other stochastic properties of the Brownian particle can be strongly affected.

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References

  1. M.M. Millonas and L.E. Reichl, Phys. Rev. Lett. 68, 3125 (1992).

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  2. L.E. Reichl, Z-Y. Chen, and M.M. Millonas, Phys. Rev. Lett. 63, 2013 (1989).

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  3. L.E. Reichl, Z-Y. Chen, and M.M. Millonas, Phys. Rev. A 41, 1874 (1990).

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  4. P. Alpatov and L.E. Reichl, Phys. Rev. E 52, 4516 (1995).

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

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© 1996 Springer-Verlag New York, Inc.

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Reichl, L.E., Alpatov, P. (1996). The Effect of Chaos on a Mean First-Passage Time. 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_5

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  • DOI: https://doi.org/10.1007/978-1-4612-3992-5_5

  • 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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