5 citations · 6 across the 6 of their papers we have counts for
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Complex paths for real stochastic processes
D. A. Baldwin, A. J. McKane, S. P. Fitzgerald
The calculation of the decay rate of a metastable state in the path-integral formulation of stochastic processes is revisited. Previous derivations of this rate were achieved at th…
Nonequilibrium statistics of barrier crossings with competing pathways
Gulzar Ahmad, Sergey Saveliev, Steven P Fitzgerald +2
Many biological, chemical, and physical systems are underpinned by stochastic transitions between equilibrium states in a potential energy. Here, we consider such transitions in a…
Timescales for stochastic barrier crossing: inferring the potential from nonequilibrium data
A. J. Archer, T. Ala-Nissila, T. J. W. Honour +1
Kramers' rate theory forms a cornerstone for thermally activated barrier crossing. However, its reliance on equilibrium quantities excludes analysis of nonequilibrium dynamics at e…
Stochastic path power and the Laplace transform
S P Fitzgerald, T J W Honour
Transition probabilities for stochastic systems can be expressed in terms of a functional integral over paths taken by the system. Evaluating the integral by the saddle point metho…
Stochastic transitions: Paths over higher energy barriers can dominate in the early stages
S. P. Fitzgerald, A. Bailey Hass, G. Díaz Leines +1
The time evolution of many physical, chemical, and biological systems can be modelled by stochastic transitions between the minima of the potential energy surface describing the sy…