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Mathematical Brownian Motion Read chapter Read first chapter

2013 | OriginalPaper | Chapter

6. Interfacing at the Stochastic Separatrix

Author : Zeev Schuss

Published in: Brownian Dynamics at Boundaries and Interfaces

Publisher: Springer New York

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Abstract

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.

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Metadata
Title
Interfacing at the Stochastic Separatrix
Author
Zeev Schuss
Copyright Year
2013
Publisher
Springer New York
Book
Brownian Dynamics at Boundaries and Interfaces

Print ISBN: 978-1-4614-7686-3

Electronic ISBN: 978-1-4614-7687-0

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-7687-0_6