The Statistical Theory of Phase Transitions
Author | : B. T. Geĭlikman |
Publisher | : |
Total Pages | : 84 |
Release | : 1957 |
Genre | : Statistical mechanics |
ISBN | : |
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Author | : B. T. Geĭlikman |
Publisher | : |
Total Pages | : 84 |
Release | : 1957 |
Genre | : Statistical mechanics |
ISBN | : |
Author | : B. T. Geilikman |
Publisher | : |
Total Pages | : 77 |
Release | : 1959 |
Genre | : Statistical thermodynamics |
ISBN | : |
Author | : J. M. Yeomans |
Publisher | : Clarendon Press |
Total Pages | : 165 |
Release | : 1992-05-07 |
Genre | : |
ISBN | : 0191589705 |
The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -
Author | : Ya. G. Sinai |
Publisher | : Elsevier |
Total Pages | : 163 |
Release | : 2014-05-20 |
Genre | : Science |
ISBN | : 1483158497 |
Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.
Author | : Steven A. Kivelson |
Publisher | : Princeton University Press |
Total Pages | : 472 |
Release | : 2024-06-25 |
Genre | : Science |
ISBN | : 0691249733 |
An engaging undergraduate introduction to the statistical mechanics of phase transitions Statistical mechanics deploys a powerful set of mathematical approaches for studying the thermodynamic properties of complex physical systems. This textbook introduces students to the statistical mechanics of systems undergoing changes of state, focusing on the basic principles for classifying distinct thermodynamic phases and the critical phenomena associated with transitions between them. Uniquely designed to promote active learning, Statistical Mechanics of Phases and Phase Transitions presents some of the most beautiful and profound concepts in physics, enabling students to obtain an essential understanding of a computationally challenging subject without getting lost in the details. Provides a self-contained, conceptually deep introduction to the statistical mechanics of phases and phase transitions from a modern perspective Carefully leads students from spontaneously broken symmetries to the universality of phase transitions and the renormalization group Encourages student-centric active learning suitable for both the classroom and self-study Features a wealth of guided worksheets with full solutions throughout the book that help students learn by doing Includes informative appendixes that cover key mathematical concepts and methods Ideal for undergraduate physics majors and beginning graduate students Solutions manual for all end-of-chapter problems (available only to instructors)
Author | : B. T. Geilikman |
Publisher | : |
Total Pages | : 77 |
Release | : 1959 |
Genre | : |
ISBN | : |
Author | : M. Baus |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2007-11-19 |
Genre | : Science |
ISBN | : 3540746315 |
This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.
Author | : B. T.. Geilikman |
Publisher | : |
Total Pages | : 77 |
Release | : 1957 |
Genre | : |
ISBN | : |
Author | : Hidetoshi Nishimori |
Publisher | : Oxford University Press |
Total Pages | : 373 |
Release | : 2011 |
Genre | : Science |
ISBN | : 0199577226 |
As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.
Author | : Marc Baus |
Publisher | : Springer Nature |
Total Pages | : 440 |
Release | : 2021-06-04 |
Genre | : Science |
ISBN | : 3030754324 |
This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.