From Lagrangian to Brownian motion

Moshe Schwartz; Ram Brustein

doi:10.1007/BF01028474

From Lagrangian to Brownian motion

Moshe Schwartz, Ram Brustein

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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
Pages (from-to)	585-613
Number of pages	29
Journal	Journal of Statistical Physics
Volume	51
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01028474
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

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10.1007/BF01028474

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title = "From Lagrangian to Brownian motion",

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.",

keywords = "Brownian motion, Langevin equation, dynamical processes",

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T1 - From Lagrangian to Brownian motion

AU - Schwartz, Moshe

AU - Brustein, Ram

PY - 1988/5/1

Y1 - 1988/5/1

N2 - 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.

AB - 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.

KW - Brownian motion

KW - Langevin equation

KW - dynamical processes

UR - https://www.scopus.com/pages/publications/0000675581

U2 - 10.1007/BF01028474

DO - 10.1007/BF01028474

M3 - Article

AN - SCOPUS:0000675581

SN - 0022-4715

VL - 51

SP - 585

EP - 613

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

From Lagrangian to Brownian motion

Abstract

Keywords

ASJC Scopus subject areas

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