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Generalized Langevin Equations

  • Alexandre J. Chorin
  • Ole H. Hald
Chapter
Part of the Texts in Applied Mathematics book series (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.

Keywords

Hamiltonian System Conditional Expectation Langevin Equation Noise Term Full System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Alexandre J. Chorin
    • 1
  • Ole H. Hald
    • 2
  1. 1.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA
  2. 2.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

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