From Lagrangian to Brownian motion

Moshe Schwartz, Ram Brustein

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We present a Lagrangian describing an idealized liquid interacting with a particle immersed in it. We show that the equation describing the motion of the particle as a functional of the initial conditions of the liquid incorporates noise and friction, which are attributed to specific dynamical processes. The equation is approximated to yield a Langevin equation with parameters depending on the Lagrangian and the temperature of the liquid. The origin of irreversibility and dissipation is discussed.

Original languageEnglish
Pages (from-to)585-613
Number of pages29
JournalJournal of Statistical Physics
Issue number3-4
StatePublished - 1 May 1988
Externally publishedYes


  • Brownian motion
  • Langevin equation
  • dynamical processes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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