Overview
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.
Full Product Details
Author: Sushanta Dattagupta
Publisher: Taylor & Francis Inc
Imprint: CRC Press Inc
Dimensions:
Width: 15.60cm
, Height: 2.30cm
, Length: 23.40cm
Weight: 0.566kg
ISBN: 9781439895573
ISBN 10: 1439895570
Pages: 308
Publication Date: 12 November 2013
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Tertiary & Higher Education
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
"""The book is written in a light style, that is to say, it is not overly weighed down with technicalities. It reviews the most basic formulas and their performances in various settings and thus supplies a handy overview of the diffusion theory in action. An impressive attempt is made in Part II to provide a guided tour of diffusions in the quantum setting. The book should be mostly useful for physicists interested in getting first glimpses of diffusion theory."" -Mathematical Reviews, August 2015 ""Some chapters contain exercises that make the book useful for the beginners. But the other chapters can be interesting to the experts as well."" -Yuri E. Gliklikh, Zentralblatt MATH 1295"
Some chapters contain exercises that make the book useful for the beginners. But the other chapters can be interesting to the experts as well. -Yuri E. Gliklikh, Zentralblatt MATH 1295
The book is written in a light style, that is to say, it is not overly weighed down with technicalities. It reviews the most basic formulas and their performances in various settings and thus supplies a handy overview of the diffusion theory in action. An impressive attempt is made in Part II to provide a guided tour of diffusions in the quantum setting. The book should be mostly useful for physicists interested in getting first glimpses of diffusion theory. -Mathematical Reviews, August 2015 Some chapters contain exercises that make the book useful for the beginners. But the other chapters can be interesting to the experts as well. -Yuri E. Gliklikh, Zentralblatt MATH 1295
Author Information
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.
