The unreasonable effectiveness of equilibrium theory for interpreting nonequilibrium experiments

American Journal of Physics

Volumn 74, Issue 8, 2006, Pages 683-688

  Astumian, R Dean ^a  

^a University of Maine   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746709601     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2205883     Document Type: Article

References (38)

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35. In changing variables from ζ(t) to h(t) the probability densities must satisfy ∫P[h(t)]dh=∫P[ζ(t)]dζ for any set of trajectories. Hence P[h(t)] = ∥dζ/dh∥P[ζ(t)], where ∥dζ/dh∥ = J[h(t)] is the Jacobian matrix that compensates for the nonlinear stretching and shrinking involved in transforming from trajectories in noise space ζ(t) to trajectories in the space h(t). An explicit expression for the Jacobian has been derived, but because it does not enter into calculations of the ratios of probability densities, or in calculations for path probabilities to first order in noise strength, we will not consider it further here.
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