Path integral analysis of Jarzynski's equality: Analytical results

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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.
10 pages, 1 figure

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/222980

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0109
 http://arxiv.org/abs/0812.0109
 Phys. Rev. E 79, 021122 (2009) [5 pages]
 doi:10.1103/PhysRevE.79.021122

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arXiv