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Statistical Physics of Fields Mehran Kardar HC

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Cambridge University Press; Cambridge, 2007. Hardcover. A Good, illustrated boards, binding intact, ... Meer lezenover objectstaat
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“Cambridge University Press; Cambridge, 2007. Hardcover. A Good, illustrated boards, binding intact, ...
ISBN
9780521873413
Subject Area
Science
Publication Name
Statistical Physics of Fields
Item Length
9.8 in
Publisher
Cambridge University Press
Subject
Physics / Mathematical & Computational
Publication Year
2007
Type
Textbook
Format
Hardcover
Language
English
Item Height
1 in
Author
Mehran Kardar
Item Width
7.3 in
Item Weight
31 Oz
Number of Pages
370 Pages

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Product Information

While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
052187341x
ISBN-13
9780521873413
eBay Product ID (ePID)
6038770398

Product Key Features

Author
Mehran Kardar
Publication Name
Statistical Physics of Fields
Format
Hardcover
Language
English
Subject
Physics / Mathematical & Computational
Publication Year
2007
Type
Textbook
Subject Area
Science
Number of Pages
370 Pages

Dimensions

Item Length
9.8 in
Item Height
1 in
Item Width
7.3 in
Item Weight
31 Oz

Additional Product Features

Lc Classification Number
Qc173.7
Reviews
'In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics.' Leon Balents, University of California, Santa Barbara, 'Statistical Physics of Particles is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics, not only surviving, but enriching the development of quantum mechanics. Its importance to science in the future can only increase with the rise of subjects such as quantitative biology. Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. This lucid exposition should be of particular interest to theorists with backgrounds in field theory and statistical mechanics. David R. Nelson, Arthur K Solomon Professor of Biophysics, Harvard University, 'If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics. Kardar does a particularly thorough job of explaining the subtleties of theoretical topics too new to have been included even in Landau and Lifshitz most recent Third Edition (1980), such as directed paths in random media and the dynamics of growing surfaces, which are not in any text to my knowledge. He also provides careful discussion of topics that do appear in most modern texts on theoretical statistical physics, such as scaling and renormalization group.' H. Eugene Stanley, Director, Center for Polymer Studies, Boston University, "Kardar, who has taught a statistical physics of fields course at MIT for the last 20 years, has finally put the content of his lectures into a single textbook. Designed for advanced students of physics, this book expands upon the notion of fractals, and concentrates on the shape, symmetry and locality of these entities. The author uses his work in particle physics as a foundation to explore statistical fields, fluctuations, the scaling hypothesis, lattice systems, and directed paths in random media." Book News, "... Statistical Physics of Fields is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics ... Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself." David R Nelson, Arthur K Solomon Professor of Biophysics, Harvard University, 'If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics. Kardar does a particularly thorough job of explaining the subtleties of theoretical topics too new to have been included even in Landau and Lifshitz most recent Third Edition (1980), such as directed paths in random media and the dynamics of growing surfaces, which are not in any text to my knowledge. He also provides careful discussion of topics that do appear in most modern texts on theoretical statistical physics, such as scaling and renormalization group.' H. Eugene Stanley, Boston University, 'This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I'm sure this book will become 'the' reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching.' Alessandro Vespignani, Indiana University, '… the first eight chapters of Statistical Physics of Fields are stunning. … Kardar has produced an excellent and unique textbook that will serve our community well for many years.' Physics Today, '... the first eight chapters of Statistical Physics of Fields are stunning. ... Kardar has produced an excellent and unique textbook that will serve our community well for many years.' Physics Today, In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics. Leon Balents, Department of Physics, University of California, Santa Barbara, 'In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics.' Leon Balents, Department of Physics, University of California, Santa Barbara, "Over the past two decades, I have admired Kardar's contributions to theoretical physics, and now I admire his contribution to teaching physics. The first volume, Statistical Physics of Particles, is distinguished by its useful feature of teaching physics by example... the first eight chapters of Statistical Physics of Fields are stunning. With that volume Kardar has produced an excellent and unique textbook that will serve our community well for many years." David Chandler, Physics Today, "This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I am sure this book will become the reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching." Alessandro Vespignani, Center for Biocomplexity, Indiana University, 'This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I'm sure this book will become 'the' reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching.' Alessandro Vespignani, Center for Biocomplexity, Indiana University, 'Statistical Physics of Particles is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics, not only surviving, but enriching the development of quantum mechanics. Its importance to science in the future can only increase with the rise of subjects such as quantitative biology. Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. This lucid exposition should be of particular interest to theorists with backgrounds in field theory and statistical mechanics.' David R. Nelson, Harvard University, "If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics." H Eugene Stanley, Director, Center for Polymer Studies, Boston University, … Statistical Physics of Fields is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics … Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. David R Nelson, Arthur K Solomon Professor of Biophysics, Harvard University
Table of Content
1. Collective behaviour, from particles to fields; 2. Statistical fields; 3. Fluctuations; 4. The scaling hypothesis; 5. Perturbative renormalization group; 6. Lattice systems; 7. Series expansions; 8. Beyond spin waves; 9. Dissipative dynamics; 10. Directed paths in random media; Solutions to selected problems; Index.
Copyright Date
2007
Target Audience
Scholarly & Professional
Dewey Decimal
530.14
Dewey Edition
22
Illustrated
Yes

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