Classical Generalised Langevin Equation  (GLE)

 
These notes correspond to some of the derivations and thoughts which eventually appeared in the paper PHYSICAL REVIEW B 78, 094304 2008http://prb.aps.org/abstract/PRB/v78/i9/e094304shapeimage_1_link_0

Calculation of the kernel

Distribution function for an open system

Harmonic dynamics of atoms

Projecting out

Summary

Thermal equilibrium

Independent derivation done later on

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