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Stochastic Tools in Mathematics and Science pp 171–198Cite as

Generalized Langevin Equations

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Part of the book series: Texts in Applied Mathematics ((TAM,volume 58))

Abstract

We now turn to problems in statistical mechanics where the assumption of thermal equilibrium does not apply. In nonequilibrium problems, one should in principle solve the full Liouville equation, at least approximately. There are many situations in which one attempts to do that under different assumptions and conditions, giving rise to the Euler and Navier–Stokes equations, the Boltzmann equation, the Vlasov equation, etc.

An erratum to this chapter is available at http://dx.doi.org/10.1007/978-1-4614-6980-3_10

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-1-4614-6980-3_10

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, Berkeley, CA, USA

    Alexandre J. Chorin

  2. Department of Mathematics, University of California at Berkeley, Berkeley, CA, USA

    Ole H. Hald

Authors
  1. Alexandre J. Chorin
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  2. Ole H. Hald
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Chorin, A.J., Hald, O.H. (2013). Generalized Langevin Equations. In: Stochastic Tools in Mathematics and Science. Texts in Applied Mathematics, vol 58. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6980-3_9

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