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Titlebook: Brownian Dynamics at Boundaries and Interfaces; In Physics, Chemistr Zeev Schuss Textbook 2013 Author 2013 Application to channel simulatio

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期刊全称Brownian Dynamics at Boundaries and Interfaces
期刊简称In Physics, Chemistr
影响因子2023Zeev Schuss
视频video
发行地址Written in an accessible, easy to read manner without detailed rigorous proofs.Lots of examples and exercises throughout the book.Written from the scientists point of view with deep insight into sever
学科分类Applied Mathematical Sciences
图书封面Titlebook: Brownian Dynamics at Boundaries and Interfaces; In Physics, Chemistr Zeev Schuss Textbook 2013 Author 2013 Application to channel simulatio
影响因子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 of Brownian motion could predict..This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit
Pindex Textbook 2013
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https://doi.org/10.1007/978-3-642-91812-4n of ions in a given (small) volume in solution: simulated ionic trajectories have to enter and leave the simulation domain an unbounded number of times as the step size of the simulation decreases, leaving no room for determining the convergence of the simulation. Quoting Einstein (.) in this conte
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Zeitliche Entwicklung des FortschrittsThe NET problem in three dimensions is more complicated than that in two dimension, primarily because the singularity of Neumann’s function for a regular domain is more complicated than (7.1).
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