Classical Equilibrium Statistical Mechanics
Title | Classical Equilibrium Statistical Mechanics PDF eBook |
Author | Colin J. Thompson |
Publisher | |
Total Pages | 236 |
Release | 1988 |
Genre | Science |
ISBN |
This comprehensive work provides a rigorous introduction to statistical mechanics, which aims to relate microscopic properties of matter to observed macroscopic, or bulk, behavior of physical systems. The foundations of statistical mechanics, laid down by Gibbs, are presented in detail along with an introductory chapter on thermodynamics. Other topics covered include model systems and the thermodynamic limit; theories of phase transitions; fluctuations and correlations; exactly solved models; scaling theory; and the renormalization group. An important feature of the book is many problems and worked solutions which provide a timely demonstration of current research activity in the field.
Statistical Mechanics of Lattice Systems
Title | Statistical Mechanics of Lattice Systems PDF eBook |
Author | Sacha Friedli |
Publisher | Cambridge University Press |
Total Pages | 643 |
Release | 2017-11-23 |
Genre | Mathematics |
ISBN | 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Equilibrium Statistical Mechanics
Title | Equilibrium Statistical Mechanics PDF eBook |
Author | E. Atlee Jackson |
Publisher | Courier Corporation |
Total Pages | 272 |
Release | 2012-11-21 |
Genre | Science |
ISBN | 0486149390 |
Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.
Statistical Mechanics
Title | Statistical Mechanics PDF eBook |
Author | Franz Schwabl |
Publisher | Springer Science & Business Media |
Total Pages | 578 |
Release | 2006-09-19 |
Genre | Science |
ISBN | 3540362177 |
This completely revised edition of the classical book on Statistical Mechanics covers the basic concepts of equilibrium and non-equilibrium statistical physics. In addition to a deductive approach to equilibrium statistics and thermodynamics based on a single hypothesis this book treats the most important elements of non-equilibrium phenomena. Intermediate calculations are presented in complete detail. Problems at the end of each chapter help students to consolidate their understanding of the material. Beyond the fundamentals, this text demonstrates the breadth of the field and its great variety of applications.
Equilibrium Statistical Physics
Title | Equilibrium Statistical Physics PDF eBook |
Author | M. Baus |
Publisher | Springer Science & Business Media |
Total Pages | 362 |
Release | 2007-11-15 |
Genre | Science |
ISBN | 3540746323 |
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.
Equilibrium Statistical Mechanics of Lattice Models
Title | Equilibrium Statistical Mechanics of Lattice Models PDF eBook |
Author | David A. Lavis |
Publisher | Springer |
Total Pages | 801 |
Release | 2015-01-31 |
Genre | Science |
ISBN | 9401794308 |
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
Equilibrium Statistical Physics
Title | Equilibrium Statistical Physics PDF eBook |
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.