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Related Experiment Videos

Stochastic dynamics with a mesoscopic bath.

A V Plyukhin1, J Schofield

  • 1Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
Summary
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Investigating harmonic oscillator chains, this study reveals how bath size impacts dynamics and transport. The memory function oscillates with the chain

Area of Science:

  • Physics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Understanding the influence of finite baths on system dynamics is crucial in statistical mechanics.
  • Generalized Langevin equations (GLEs) are widely used to model complex systems coupled to baths.
  • Previous studies often assumed infinite baths, limiting applicability to finite systems.

Purpose of the Study:

  • To investigate the effects of bath size on dynamics and transport properties.
  • To analyze two models: an elastic rotor and a tagged oscillator in a finite harmonic chain.
  • To derive and analyze generalized Langevin equations for these finite bath systems.

Main Methods:

  • Derivation of non-Markovian generalized Langevin equations for rotational degrees of freedom.

Related Experiment Videos

  • Analysis of an additional harmonic force term in the GLE for a tagged oscillator.
  • Calculation of the velocity correlation function for transport property analysis.

    • Main Results:

    • The memory function for the elastic rotor oscillates with a frequency related to the lowest chain mode.
    • A novel harmonic force term appears in the GLE for the tagged oscillator's terminal atom.
    • This additional force constant scales inversely with the number of oscillators (1/N).

    Conclusions:

    • Finite bath size introduces significant, size-dependent modifications to system dynamics and transport.
    • The elastic rotor model exhibits oscillatory memory functions influenced by bath modes.
    • The tagged oscillator model demonstrates a unique size-dependent harmonic force, impacting its behavior.