Brownian Dynamics at Boundaries and Interfaces In Physics, Chemistry, and Biology /

• Main Author: Schuss, Zeev. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Applied Mathematical Sciences, 186
• Subjects: Mathematics.; Differential equations, partial.; Distribution (Probability theory).; Mathematical physics.; Probability Theory and Stochastic Processes.; Partial Differential Equations.; Mathematical Methods in Physics.; Mathematical and Computational Biology.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7687-0

Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molec...

Table of Contents:

• The Mathematical Brownian Motion
• Euler Simulation of Ito SDEs
• Simulation of the Overdamped Langevin Equation
• The First Passage Time of a Diffusion Process
• Chemical Reaction in Microdomains
• The Stochastic Separatrix
• Narrow Escape in R2
• Narrow Escape in R3.