Advanced Statistical Mechanics

Advanced Statistical Mechanics

Author: Jian-sheng Wang

Publisher: World Scientific

Published: 2021-11-03

Total Pages: 225

ISBN-13: 981124216X

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This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives — focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.


Book Synopsis Advanced Statistical Mechanics by : Jian-sheng Wang

Download or read book Advanced Statistical Mechanics written by Jian-sheng Wang and published by World Scientific. This book was released on 2021-11-03 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives — focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.

Advanced Statistical Mechanics

Advanced Statistical Mechanics

Author: Barry M McCoy

Publisher: Oxford University Press

Published: 2010

Total Pages: 641

ISBN-13: 0199556636

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McCoy presents the advances made in statistical mechanics over the last 50 years, including mathematical theorems on order and phase transitions, numerical and series computations of phase diagrams and solutions for important solvable models such as Ising and 8 vortex.


Book Synopsis Advanced Statistical Mechanics by : Barry M McCoy

Download or read book Advanced Statistical Mechanics written by Barry M McCoy and published by Oxford University Press. This book was released on 2010 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: McCoy presents the advances made in statistical mechanics over the last 50 years, including mathematical theorems on order and phase transitions, numerical and series computations of phase diagrams and solutions for important solvable models such as Ising and 8 vortex.

Topics In Statistical Mechanics (Second Edition)

Topics In Statistical Mechanics (Second Edition)

Author: Brian Cowan

Publisher: World Scientific

Published: 2021-07-23

Total Pages: 451

ISBN-13: 1786349809

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Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.


Book Synopsis Topics In Statistical Mechanics (Second Edition) by : Brian Cowan

Download or read book Topics In Statistical Mechanics (Second Edition) written by Brian Cowan and published by World Scientific. This book was released on 2021-07-23 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.

Statistical Physics

Statistical Physics

Author: Josef Honerkamp

Publisher: Springer Science & Business Media

Published: 2012-06-19

Total Pages: 557

ISBN-13: 3642286844

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The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.


Book Synopsis Statistical Physics by : Josef Honerkamp

Download or read book Statistical Physics written by Josef Honerkamp and published by Springer Science & Business Media. This book was released on 2012-06-19 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.

Statistical Mechanics: Theory and Molecular Simulation

Statistical Mechanics: Theory and Molecular Simulation

Author: Mark Tuckerman

Publisher: OUP Oxford

Published: 2010-02-11

Total Pages: 720

ISBN-13: 9780191523465

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Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications. The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.


Book Synopsis Statistical Mechanics: Theory and Molecular Simulation by : Mark Tuckerman

Download or read book Statistical Mechanics: Theory and Molecular Simulation written by Mark Tuckerman and published by OUP Oxford. This book was released on 2010-02-11 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications. The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.

Statistical Physics

Statistical Physics

Author: Claudine Hermann

Publisher: Springer Science & Business Media

Published: 2006-01-26

Total Pages: 279

ISBN-13: 0387250999

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Statistical Physics bridges the properties of a macroscopic system and the microscopic behavior of its constituting particles, otherwise impossible due to the giant magnitude of Avogadro's number. Numerous systems of today's key technologies - such as semiconductors or lasers - are macroscopic quantum objects; only statistical physics allows for understanding their fundamentals. Therefore, this graduate text also focuses on particular applications such as the properties of electrons in solids with applications, and radiation thermodynamics and the greenhouse effect.


Book Synopsis Statistical Physics by : Claudine Hermann

Download or read book Statistical Physics written by Claudine Hermann and published by Springer Science & Business Media. This book was released on 2006-01-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics bridges the properties of a macroscopic system and the microscopic behavior of its constituting particles, otherwise impossible due to the giant magnitude of Avogadro's number. Numerous systems of today's key technologies - such as semiconductors or lasers - are macroscopic quantum objects; only statistical physics allows for understanding their fundamentals. Therefore, this graduate text also focuses on particular applications such as the properties of electrons in solids with applications, and radiation thermodynamics and the greenhouse effect.

Statistical Physics

Statistical Physics

Author: Gregory H. Wannier

Publisher: Courier Corporation

Published: 2012-08-09

Total Pages: 560

ISBN-13: 0486156761

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Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.


Book Synopsis Statistical Physics by : Gregory H. Wannier

Download or read book Statistical Physics written by Gregory H. Wannier and published by Courier Corporation. This book was released on 2012-08-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.

Statistical Physics

Statistical Physics

Author: Josef Honerkamp

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 416

ISBN-13: 3662037092

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Statistical Physics offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. It is divided into two parts, the first focusing on the modeling of statistical systems, the second on the analysis of these systems.


Book Synopsis Statistical Physics by : Josef Honerkamp

Download or read book Statistical Physics written by Josef Honerkamp and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. It is divided into two parts, the first focusing on the modeling of statistical systems, the second on the analysis of these systems.

Problems in Thermodynamics and Statistical Physics

Problems in Thermodynamics and Statistical Physics

Author: Peter T. Landsberg

Publisher: Courier Corporation

Published: 2014-06-10

Total Pages: 593

ISBN-13: 0486795047

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Well respected, widely used volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, statistical mechanics. Suitable for undergraduates and graduate students, self-study, reference. 1989 edition.


Book Synopsis Problems in Thermodynamics and Statistical Physics by : Peter T. Landsberg

Download or read book Problems in Thermodynamics and Statistical Physics written by Peter T. Landsberg and published by Courier Corporation. This book was released on 2014-06-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well respected, widely used volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, statistical mechanics. Suitable for undergraduates and graduate students, self-study, reference. 1989 edition.

Statistical Mechanics

Statistical Mechanics

Author: LIKHAREV

Publisher: IOP Publishing Limited

Published: 2019-07

Total Pages: 115

ISBN-13: 9780750314206

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Statistical Mechanics: Problems with Solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.


Book Synopsis Statistical Mechanics by : LIKHAREV

Download or read book Statistical Mechanics written by LIKHAREV and published by IOP Publishing Limited. This book was released on 2019-07 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Mechanics: Problems with Solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.