Diffusion: Formalism and Applications by Sushanta Dattagupta

By Sushanta Dattagupta

Within a unifying framework, Diffusion: Formalism and Applications covers either classical and quantum domain names, besides quite a few purposes. the writer explores the greater than centuries-old background of diffusion, expertly weaving jointly a number of issues from physics, arithmetic, chemistry, and biology.

The e-book examines the 2 particular paradigms of diffusion—physical and stochastic—introduced via Fourier and Laplace and later unified by way of Einstein in his groundbreaking paintings on Brownian movement. the writer describes the function of diffusion in chance idea and stochastic calculus and discusses subject matters in fabrics technology and metallurgy, reminiscent of defect-diffusion, radiation harm, and spinodal decomposition. furthermore, he addresses the impression of translational/rotational diffusion on experimental information and covers reaction-diffusion equations in biology. concentrating on diffusion within the quantum area, the e-book additionally investigates dissipative tunneling, Landau diamagnetism, coherence-to-decoherence transition, quantum details strategies, and electron localization.

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