The Brownian motion of a classical harmonic oscillator is treated mechanically throughout. The oscillator is coupled with thermostat which is composed of a great number of harmonic oscillators. By use of a transformation which eliminates the coupling to the first order, the second order quantities like the friction force in obtained. Correlation of random force is also discussed.
No takes yet. Share an insight, caveat, or question.
Morikazu Toda (1959) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: