Pedagogical derivation of the generalized Langevin equation for an oscillator bath system via the Mori–Zwanzig formalism
An overarching goal of statistical physics is to derive macroscopic irreversible equations starting with microscopic reversible equations of motion. The Mori-Zwanzig Projection Operator Method achieves this by projecting out the motions of irrelevant variables and studying the equations of the relevant variables. Thi...