Path integral analysis of Jarzynski's equality: Analytical results

Details Path integral analysis of Jarzynski's equality: Analytical results Path integral analysis of Jarzynski's equality: Analytical results

2008-11-29

arxiv.org/abs/0812.0109v1

Phys. Rev. E 79, 021122 (2009) [5 pages]

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure

Scientific paper

10.1103/PhysRevE.79.021122

We apply path integrals to study nonequilibrium work theorems in the context of Brownian dynamics, deriving in particular the equations of motion governing the most typical and most dominant trajectories. For the analytically soluble cases of a moving harmonic potential and a harmonic oscillator with time-dependent natural frequency, we find such trajectories, evaluate the work-weighted propagators, and validate Jarzynski's equality.

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