Within a unifying framework, this book 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. He describes the role of diffusion in probability theory and stochastic calculus and discusses topics in materials science and metallurgy. He also addresses the impact of translational/rotational diffusion on experimental data, covers reaction-diffusion equations in biology, and examines diffusion in the quantum domain.

Sushanta Dattagupta is the Vice Chancellor of Visva Bharati, Santiniketan. A Fellow of the World Academy of Science, Dr. Dattagupta has published roughly 150 papers in international physics journals and three books.

CLASSICAL DIFFUSION: Introduction to Brownian Motion. Markov Processes. Gaussian Processes. Langevin Equations. Fokker-Planck Equation. Jump Diffusion. Random Walk and Anomalous Diffusion. Spectroscopic Structure Factor. Rotational Diffusion of Molecules. Order Parameter Diffusion. Diffusion of Rapidly Driven System. QUANTUM DIFFUSION: Quantum Langevin Equations. Path Integral Treatment of Quantum Diffusion. Quantum Continuous Time Random Walk Model. Quantum Jump Models. Quantum Diffusion: Decoherence and Localization.