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

種類:

電子ブック

責任表示:

by Zeev Schuss

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2013

著者名:

• Schuss, Zeev
• SpringerLink (Online service)

シリーズ名:

Applied Mathematical Sciences ; 186

ISBN:

9781461476870 [1461476879]    

注記:

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 molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions of biological micro devices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry, biophysics, computer science, communications theory, mathematical finance theory, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematical problems that neither the kinetic theory of Maxwell and Boltzmann, nor Einstein’s and Langevin’s theories

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