Path integral analysis of Jarzynski's equality: analytical results

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 wit...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-02, Vol.79 (2 Pt 1), p.021122-021122, Article 021122
Main Authors: Minh, David D L, Adib, Artur B
Format: Article
Language:English
Subjects:
Algorithms
Computer Simulation
Models, Statistical
Oscillometry - methods
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Summary: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 a time-dependent natural frequency, we find such trajectories, evaluate the work-weighted propagators, and validate Jarzynski's equality.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.79.021122