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Nonlinear Fluctuation-Dissipation Relations

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Fluctuations and Sensitivity in Nonequilibrium Systems

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 1))

Abstract

The theme of this workshop is how the statistical properties of fluctuations manifest themselves in nonequi libriurn systems. Many of the talks presented here have explored the dynamic consequences of particular assumptions about these statistical properties. Very little has been said on the origin of the fluctuations and the specific physical mechanisms that result in a particular statistical property. We focus on this topic and consider the microscopic origin of fluctuations in thermo-dynamically closed systems (we do not consider external fluctuations in this discussion). We will thus study the dynamics of various physical systems in contact with a surrounding heat bath. In our analysis the system, the heat bath and their interactions are treated completely dynamically. Our aim is to start from a Hamiltonian for the composite system and to arrive finally at a stochastic differential equation of the generalized Langevin-type with completely determined statistical properties.

This work was supported in part by the National Science Foundation grants No. ATM-8310672 and ATM-8310673.

Affiliated with the University of California San Diego.

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Author information

Authors and Affiliations

  1. Center for Studies of Nonlinear Dynamics, La Jolla Institute, 8950 Villa La Jolla Drive, Suite 2150, La Jolla, CA, 92038, USA

    B. J. West

  2. Department of Chemistry, University of California at San Diego, La Jolla, CA, 92093, USA

    K. Lindenberg

Authors
  1. B. J. West
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  2. K. Lindenberg
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Editor information

Editors and Affiliations

  1. Department of Physics, Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Werner Horsthemke

  2. Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Dilip K. Kondepudi PhD

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© 1984 Springer-Verlag Berlin Heidelberg

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West, B.J., Lindenberg, K. (1984). Nonlinear Fluctuation-Dissipation Relations. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_27

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  • DOI: https://doi.org/10.1007/978-3-642-46508-6_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46510-9

  • Online ISBN: 978-3-642-46508-6

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