Within a unifying framework, Diffusion: Formalism and
Applications covers both classical and quantum domains, along with
numerous applications. The author explores the more than two
centuries-old history of diffusion, expertly weaving together a
variety of topics from physics, mathematics, chemistry, and
biology.
The book examines the two distinct paradigms of diffusion
physical and stochastic introduced by Fourier and Laplace and later
unified by Einstein in his groundbreaking work on Brownian motion.
The author describes the role of diffusion in probability theory
and stochastic calculus and discusses topics in materials science
and metallurgy, such as defect-diffusion, radiation damage, and
spinodal decomposition. In addition, he addresses the impact of
translational/rotational diffusion on experimental data and covers
reaction-diffusion equations in biology. Focusing on diffusion in
the quantum domain, the book also investigates dissipative
tunneling, Landau diamagnetism, coherence-to-decoherence
transition, quantum information processes, and electron
localization."
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