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Diffusion
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.
Dissipative Phenomena in Condensed Matter
A reference and text, Dissipative Phenomena treats the broadly applicable area of nonequilibrium statistical physics and concentrates the modelling and characterization of dissipative phenomena. A variety of examples from diverse disciplines, such as condensed matter physics, materials science, metallurgy, chemical physics, are discussed. Dattagupta employs a broad framework of stochastic processes and master equation techniques to obtain models for a range of experimentally relevant phenomena such as classical and quantum Brownian motion, spin dynamics, kinetics of phase ordering, relaxation in glasses, and dissipative tunnelling. This book will serve as a graduate/research level textbook since it offers considerable utility to experimentalists, computational physicists and theorists.
Relaxation Phenomena in condensed Matter Physics
Relaxation Phenomena in Condensed Matter Physics features various methods for spectroscopy techniques presented in this book and the relation of these techniques to correlation functions. This book aims to present the similarities and differences between different studies of the relaxation phenomena and to come up with a unified theoretical approach. This text is divided into two major parts, A and B. Part A deals briefly with several spectroscopy experiments and how they can be analyzed in terms of correlation functions. Spectroscopy techniques are likewise discussed in this part. Part B focuses on the stochastic theory of the said correlation functions, where each stochastic model is situated in the context of a physical process. The result of the calculations is then related to one of the experiments featured in Part A. These stochastic methods provide a simple mathematical framework in analyzing relaxation phenomena that can be related to diffusion process. This book is targeted to graduate students who have already taken quantum and statistical physics and is a good reference to students, scientists, and researchers in the field of condensed matter physics.
A Paradigm Called Magnetism
This book provides an overview of how diverse issues of Magnetism have implications for other areas of physics. Attention will be drawn to different aspects of many-body physics, which first appeared in Magnetism but have had deep impact in different branches of physics. Each of these aspects will be illustrated schematically and in terms of physical examples, chosen from multicritical phenomena, quantum phase transition, spin glasses, relaxation, phase ordering and quantum dissipation. A unique feature of this book is a unified and coherent discussion of magnetic phenomena, presented in a lucid and pedagogical manner.
Nonlinear Systems
Nonlinear Systems covers a wide range of topics in nonlinear science, from general nonlinear dynamics, soliton systems, and the solution of nonlinear differential and difference equations to the integrability of discrete nonlinear systems, and classical and quantum chaos. Its chapters reflect the current status of important nonlinear theories in various areas of applied mathematics and mathematical physics and collectively provide a comprehensive picture of new areas and their applications.
From Phase Transitions to Chaos
This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to Pter Szpfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, ra...
Open Quantum Systems
This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of i...
Quantum Mechanics
A text on quantum mechanics for graduate students and researchers with explanations of fundamental principles and modern applications.
Satyendra Nath Bose
Satyendra Nath Bose became a legendary figure of science in the 20th century in India with his revolutionary discovery on the nature of radiation. Despite the association with Einstein, however, little is known about him outside of India. This book highlights the remarkable intellect and the extraordinary personality of Bose set against the backdrop of a rich Bengali cultural tradition and British-Indian politics. Unlike other books covering the significance of Bose''s discovery, this book describes his diverse scientific contributions to India''s scientific community by bringing together selected articles and addresses by Bose as well as contributions from some well-known scientists on the many-faceted life of Bose, thus making it a truly unique volume.
Concepts and Methods in Modern Theoretical Chemistry
Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics, the second book in a two-volume set, focuses on the dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, this book offers chapters written by experts in their fields. It enables readers to learn how concepts from ab initio quantum
