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Equilibrium Statistical Mechanics

Equilibrium Statistical Mechanics PDF Author: E. Atlee Jackson
Publisher: Courier Corporation
ISBN: 0486149390
Category : Science
Languages : en
Pages : 272

Book Description
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.

Equilibrium Statistical Mechanics

Equilibrium Statistical Mechanics PDF Author: E. Atlee Jackson
Publisher: Courier Corporation
ISBN: 0486149390
Category : Science
Languages : en
Pages : 272

Book Description
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.

Classical Equilibrium Statistical Mechanics

Classical Equilibrium Statistical Mechanics PDF Author: Colin J. Thompson
Publisher: Oxford University Press, USA
ISBN:
Category : Science
Languages : en
Pages : 236

Book Description
An introduction to statistical mechanics which aims to relate microscopic properties of matter to observed macroscopic, or bulk, behaviour of physical systems.

Non-Equilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics PDF Author: Ilya Prigogine
Publisher: Courier Dover Publications
ISBN: 0486815552
Category : Science
Languages : en
Pages : 337

Book Description
Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

Equilibrium Statistical Physics

Equilibrium Statistical Physics PDF Author: M. Baus
Publisher: Springer Science & Business Media
ISBN: 3540746323
Category : Science
Languages : en
Pages : 364

Book Description
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

Equilibrium Statistical Mechanics of Lattice Models PDF Author: David A. Lavis
Publisher: Springer
ISBN: 9401794308
Category : Science
Languages : en
Pages : 793

Book Description
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.

Statistical Mechanics of Lattice Systems

Statistical Mechanics of Lattice Systems PDF Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643

Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Equilibrium Statistical Mechanics

Equilibrium Statistical Mechanics PDF Author: Frank C. Andrews
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 280

Book Description


Principles of Equilibrium Statistical Mechanics

Principles of Equilibrium Statistical Mechanics PDF Author: Debashish Chowdhury
Publisher: Wiley-VCH
ISBN: 9783527403004
Category : Science
Languages : en
Pages : 564

Book Description
This modern textbook provides a complete survey of the broad field of statistical mechanics. Based on a series of lectures, it adopts a special pedagogical approach. The authors, both excellent lecturers, clearly distinguish between general principles and their applications in solving problems. Analogies between phase transitions in fluids and magnets using continuum and spin models are emphasized, leading to a better understanding. Such special features as historical notes, summaries, problems, mathematical appendix, computer programs and order of magnitude estimations distinguish this volume from competing works. Due to its ambitious level and an extensive list of references for technical details on advanced topics, this is equally a must for researchers in condensed matter physics, materials science, polymer science, solid state physics, and astrophysics. From the contents Thermostatics: phase stability, phase equilibria, phase transitions; Statistical Mechanics: calculation, correlation functions, ideal classical gases, ideal quantum gases; Interacting Systems: models, computer simulation, mean-field approximation; Interacting Systems beyond Mean-field Theory: scaling and renormalization group, foundations of statistical mechanics "The present book, however, is unique that it both is written in a very pedagogic, easily comprehensible style, and, nevertheless, goes from the basic principles all the way to these modern topics, containing several chapters on the various approaches of mean field theory, and a chapter on computer simulation. A characteristic feature of this book is that often first some qualitative arguments are given, or a "pedestrians's approach", and then a more general and/or more rigorous derivation is presented as well. Particularly useful are also "supplementary notes", pointing out interesting applications and further developments of the subject, a detailed bibliography, problems and historical notes, and many pedagogic figures."

Equilibrium Statistical Physics (2nd Edition)

Equilibrium Statistical Physics (2nd Edition) PDF Author: Michael Plischke
Publisher: World Scientific Publishing Company
ISBN: 9813104716
Category : Science
Languages : en
Pages : 537

Book Description
Newer Edition Available: Equilibrium Statistical Physics (3rd Edition)This revised and expanded edition of one of the important textbook in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.After a short review of basic concepts, the authors begin the discussion on strongly interacting condensed matter systems with a thorough treatment of mean field and Landau theories of phase transitions. Many examples are worked out in considerable detail. Classical liquids are treated next. Along with traditional approaches to the subject such as the virial expansion and integral equations, newer theories such as perturbation theory and density functional theories are introduced.The modern theory of phase transitions occupies a central place in this book. The development is along historical lines, beginning with the Onsager solution of the two-dimensional Ising model, series expansions, scaling theory, finite-size scaling, and the universality hypothesis. A separate chapter is devoted to the renormalization group approach to critical phenomena. The development of the basic tools is completed in a new chapter on computer simulations in which both Monte Carlo and molecular dynamics techniques are introduced.The remainder of the book is concerned with a discussion of some of the more important modern problems in condensed matter theory. A chapter on quantum fluids deals with Bose condensation, superfluidity, and the BCS and Landau-Ginzburg theories of superconductivity. A new chapter on polymers and membranes contains a discussion of the Gaussian and Flory models of dilute polymer mixtures, the connection of polymer theory to critical phenomena, a discussion of dense polymer mixtures and an introduction to the physical properties of solid and fluid membranes. A chapter on linear response includes the Kubo formalism, the fluctuation-dissipation theorem, Onsager relations and the Boltzmann equation. The last chapter is devoted to disordered materials.Each chapter contains a substantial number of exercises. A manual with a complete set of solutions to these problems is available under separate cover.

Equilibrium and Nonequilibrium Statistical Mechanics

Equilibrium and Nonequilibrium Statistical Mechanics PDF Author: Radu Balescu
Publisher:
ISBN: 9780894645242
Category : Science
Languages : en
Pages : 742

Book Description