Differential Equations

Read e-book online Brownian Dynamics at Boundaries and Interfaces: In Physics, PDF

By Zeev Schuss

Brownian dynamics function mathematical versions for the diffusive movement of microscopic debris of assorted shapes in gaseous, liquid, or stable environments. The renewed curiosity in Brownian dynamics is due basically to their key function in molecular and mobile biophysics: diffusion of ions and molecules is the motive force of all existence. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that version the services of organic micro units equivalent to protein ionic channels of organic membranes, cardiac myocytes, neuronal synapses, and plenty of extra. Stochastic differential equations are ubiquitous types in computational physics, chemistry, biophysics, laptop technological know-how, communications thought, mathematical finance concept, and plenty of different disciplines. Brownian dynamics simulations of the random movement of debris, be it molecules or inventory costs, provide upward push to mathematical difficulties that neither the kinetic idea of Maxwell and Boltzmann, nor Einstein’s and Langevin’s theories of Brownian movement may perhaps predict.

This ebook takes the readers on a trip that begins with the rigorous definition of mathematical Brownian movement, and ends with the specific resolution of a sequence of advanced difficulties that experience fast purposes. it truly is geared toward utilized mathematicians, physicists, theoretical chemists, and physiologists who're attracted to modeling, research, and simulation of micro units of microbiology. The publication comprises workouts and labored out examples throughout.

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Read or Download Brownian Dynamics at Boundaries and Interfaces: In Physics, Chemistry, and Biology: 186 (Applied Mathematical Sciences) PDF

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Brownian Dynamics at Boundaries and Interfaces: In Physics, Chemistry, and Biology: 186 (Applied Mathematical Sciences) by Zeev Schuss

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