Interfacing at the Stochastic Separatrix

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter introduces the concept of the stochastic separatrix and elaborates its application in clarifying the notion of transitions between relatively long-lived states and short-lived transition states. These may be noise-induced transitions over high barriers or the squeezing of Brownian motion through narrow necks connecting relatively large confining compartments. The stochastic separatrix plays a role in determining the dependence of the first nonzero eigenvalue of the Fokker–Planck operator (FPO) on the geometry of the drift field and on the geometry of the domain.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages33
StatePublished - 2013

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


  • Bistable System
  • Planck Equation
  • Principal Eigenvalue
  • Saddle Point
  • Transition State Theory


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