Ritz method for transition paths and quasipotentials of rare diffusive events
Lukas Kikuchi, Rajesh Singh, Michael E. Cates, R. Adhikari
Abstract
The authors present a Ritz method for finding most probable transition paths between meta-stable states of stochastic dynamical systems. This provides a route to constructing non-equilibrium potentials by repeatedly sampling transition paths asymptotically in time.
Topics & Concepts
Rare eventsTransition (genetics)Transition timeStatistical physicsSampling (signal processing)Ritz methodMathematicsApplied mathematicsComputer sciencePhysicsMathematical analysisStatisticsChemistryArtificial intelligenceGeneComputer visionBiochemistryFilter (signal processing)Boundary value problemAdvanced Thermodynamics and Statistical MechanicsStatistical Mechanics and Entropystochastic dynamics and bifurcation