Chapter 5. Linearized Langevin and Hydrodynamical Description of Time-Correlation Functions

  1. Gene F. Mazenko

Published Online: 4 JAN 2008

DOI: 10.1002/9783527618958.ch5

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics

How to Cite

Mazenko, G. F. (2006) Linearized Langevin and Hydrodynamical Description of Time-Correlation Functions, in Nonequilibrium Statistical Mechanics, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527618958.ch5

Author Information

  1. The University of Chicago, The James Franck Institute, 5640, S. Ellis Avenue, Chicao, IL 60637, USA. gfm@ma.uchicago.edu

Publication History

  1. Published Online: 4 JAN 2008
  2. Published Print: 6 OCT 2006

ISBN Information

Print ISBN: 9783527406487

Online ISBN: 9783527618958

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Keywords:

  • time-correlation functions;
  • physical systems of interest;
  • microscopic;
  • mathematical objects;
  • molecular dynamics

Summary

This chapter contains sections titled:

  • Introduction

  • Spin Diffusion in Itinerant Paramagnets

  • Langevin Equation Approach to the Theory of Irreversible Processes

  • Example: The Harmonic Oscillator

  • Theorem Satisfied by the Static Part of the Memory Function

  • Separation of Time Scales: The Markoff Approximation

  • Example: Brownian Motion

  • The Plateau-Value Problem

  • Example: Hydrodynamic Behavior; Spin-Diffusion Revisited

  • Estimating the Spin-Diffusion Coefficient

  • References and Notes

  • Problems for Chapter 5