5 citations · 6 across the 6 of their papers we have counts for
6 papers
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…
Structure and dynamics of crowdion defects in bcc metals
S P Fitzgerald
Crowdion defects are produced in body centred cubic metals under irradiation. Their structure and diffusive dynamics play a governing role in microstructural evolution, and hence t…