Reaction rate theory: weak- to strong-friction turnover in Kramers' Fokker-Planck model

Alec Maassen van den Brink and H. Dekker

Physica A: Statistical Mechanics and its Applications, 1997, vol. 237, issue 3, 515-553

Abstract: We present a unified treatment for both weak and strong friction — including the turnover regime — of Kramers' Fokker-Planck model for activated rate processes. No recourse to a specific microscopic model (à la Grabert et al.) or Langevin dynamics (à la Graham) will be made. Upon introducing some new theoretical concepts such as a constrained Gaussian transformation (CGT) and a dynamical extension of phase space (EPS), the analysis proceeds in terms of the unstable-mode energy and is systematic in a small parameter. We also introduce a nonlinear toy model for barrier recrossing for a simplified discussion of aspects like finite-barrier corrections, the boundary layer approximation, and exact solution in the absence of potential conditions.

Keywords: Rate processes; Kramers problem; Turnover theory (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:237:y:1997:i:3:p:515-553

DOI: 10.1016/S0378-4371(96)00425-6

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