Brownian Dynamics At Boundaries And Interfaces
Download Brownian Dynamics At Boundaries And Interfaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Brownian Dynamics At Boundaries And Interfaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Brownian Dynamics at Boundaries and Interfaces
Author: Zeev Schuss
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-08-15
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 solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout.
Heterophase Polymerization
Heterophase polymerization is a century-old technology with a wide range of relevant industrial applications, including coatings, adhesives, rubbers, and many other specialized biomedical and high-performance materials. However, due to its multiscale complexity, it still remains a challenging research topic. It is a broad field covering all heterogeneous polymerization processes that result in polymer dispersions. Its technical realizations comprise emulsion polymerization, dispersion polymerization, suspension polymerization, miniemulsion polymerization, microemulsion polymerization, and others. This book is devoted to the science and technology of heterophase polymerization, considering it a generic term as well as an umbrella expression for all of its technical realizations. It presents, from a modern perspective, the basic concepts and principles required to understand the kinetics and thermodynamics of heterophase polymerization at the atomistic, molecular, macromolecular, supramolecular, colloidal, microscopic, mesoscopic, and macroscopic scales. It critically discusses the important physicochemical mechanisms involved in heterophase polymerization, such as nucleation, particle aggregation, mass transfer, swelling, spontaneous emulsification, and polymerization kinetics, along with the experimental evidences at hand.
Asymptotics of Elliptic and Parabolic PDEs
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.