Stochastic Criteria for Ignition of Single Particles

Abstract

A stochastic analysis of panicle ignition has been given using a Fokker-Planck equation. Under critical conditions the steady slate probability density of particle temperature is found to be bimodal. A numerical solution to the time-dependent Fokker-Planck equation yields an estimate of the time scale over which a transition (’stochastic ignition“) from the kinetic to the diffusion regime takes place.

Key words:

• ignition
• particle
• fluctualion
• probability