The Two-Dimensional Ising Model

The Two-Dimensional Ising Model PDF Author: Barry M. McCoy
Publisher: Courier Corporation
ISBN: 048678312X
Category : Science
Languages : en
Pages : 484

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Book Description
Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

The Two-Dimensional Ising Model

The Two-Dimensional Ising Model PDF Author: Barry M. McCoy
Publisher: Courier Corporation
ISBN: 048678312X
Category : Science
Languages : en
Pages : 484

Get Book Here

Book Description
Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

The Two-Dimensional Ising Model

The Two-Dimensional Ising Model PDF Author: Barry M. McCoy
Publisher: Courier Corporation
ISBN: 0486493350
Category : Science
Languages : en
Pages : 484

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Book Description
Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

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

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

Statistical Mechanics: Theory and Molecular Simulation

Statistical Mechanics: Theory and Molecular Simulation PDF Author: Mark Tuckerman
Publisher: OUP Oxford
ISBN: 0191523461
Category : Science
Languages : en
Pages : 719

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Book Description
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.

Solid State PhysicsMetastable, Spintronics Materials and Mechanics of Deformable Bodies

Solid State PhysicsMetastable, Spintronics Materials and Mechanics of Deformable Bodies PDF Author: Subbarayan Sivasankaran
Publisher: BoD – Books on Demand
ISBN: 1838811648
Category : Science
Languages : en
Pages : 238

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Book Description
This book describes the recent evolution of solid-state physics, which is primarily dedicated to examining the behavior of solids at the atomic scale. It also presents various state-of-the-art reviews and original contributions related to solid-state sciences. The book consists of four sections, namely, solid-state behavior, metastable materials, spintronics materials, and mechanics of deformable bodies. The authors’ contributions relating to solid-state behavior deal with the performance of solid matters pertaining to quantum mechanics, physical metallurgy, and crystallography. The authors’ contributions relating to metastable materials demonstrate the behavior of amorphous/bulk metallic glasses and some nonequilibrium materials. The authors’ contributions relating to spintronic materials explain the principles and equations underlying the physics, transport, and dynamics of spin in solid-state systems. The authors’ contributions relating to the mechanics of deformable bodies deal with applications of numeric and analytic solutions/models for solid-state structures under deformation. Key Features:Issues in solid-state physics, Lagrangian quantum mechanics,Quantum and thermal behavior of HCP crystals,Thermoelectric properties of semiconductors,Bulk metallic glasses and metastable atomic density determination,Applications of spintronics and Heusler alloys, 2D elastostatic, mathematical modeling and dynamic stiffness methods on deformable bodies.

Exactly Solved Models in Statistical Mechanics

Exactly Solved Models in Statistical Mechanics PDF Author: Rodney J. Baxter
Publisher: Elsevier
ISBN: 1483265943
Category : Science
Languages : en
Pages : 499

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Book Description
Exactly Solved Models in Statistical Mechanics

The Random-Cluster Model

The Random-Cluster Model PDF Author: Geoffrey R. Grimmett
Publisher: Springer Science & Business Media
ISBN: 3540328912
Category : Mathematics
Languages : en
Pages : 392

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Book Description
The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.

Planar Ising Correlations

Planar Ising Correlations PDF Author: John Palmer
Publisher: Springer Science & Business Media
ISBN: 0817646205
Category : Mathematics
Languages : en
Pages : 377

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Book Description
Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.

Sociodynamics

Sociodynamics PDF Author: Wolfgang Weidlich
Publisher: Courier Corporation
ISBN: 0486450279
Category : Mathematics
Languages : en
Pages : 397

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Book Description
"Highly recommended. . . . This is an important book in putting the burgeoning field of sociodynamics on a solid footing."—Journal of Artificial Societies and Social Simulation This text deals with general modelling concepts in the social sciences, their applications, and their mathematical methods. The author's well-organized approach offers a clear, coherent introduction to terminology, approaches, and goals in modelling. Appropriate for advanced undergraduates and graduate students, it requires a solid background in algebra and calculus. The three-part treatment begins by addressing general modelling concepts, the second part provides applications, and the third discusses mathematical method. Topics include population dynamics, group interaction, political transitions, evolutionary economics, and urbanization. Guiding students through a series of practical applications that illustrate the methods' potential scope, the text concludes with a detailed look at mathematical methods.

Frustrated Spin Systems

Frustrated Spin Systems PDF Author: H. T. Diep
Publisher: World Scientific
ISBN: 9814440744
Category : Science
Languages : en
Pages : 644

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Book Description
This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."