Abstract
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 language | English |
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Pages (from-to) | 585-613 |
Number of pages | 29 |
Journal | Journal of Statistical Physics |
Volume | 51 |
Issue number | 3-4 |
DOIs | |
State | Published - 1 May 1988 |
Externally published | Yes |
Keywords
- Brownian motion
- Langevin equation
- dynamical processes
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics