Phase Space Homogenization of Noisy Hamiltonian Systems

Jeremiah Birrell, Jan Wehr

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We study the dynamics of an inertial particle coupled to forcing, dissipation, and noise in the small mass limit. We derive an expression for the limiting (homogenized) joint distribution of the position and (scaled) velocity degrees of freedom. In particular, weak convergence of the joint distributions is established, along with a bound on the convergence rate for a wide class of expected values.

Original languageEnglish (US)
Pages (from-to)1-34
Number of pages34
JournalAnnales Henri Poincare
DOIs
StateAccepted/In press - Feb 6 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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