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The Resource Equilibrium statistical mechanics of lattice models, David A. Lavis
Equilibrium statistical mechanics of lattice models, David A. Lavis
Resource Information
The item Equilibrium statistical mechanics of lattice models, David A. Lavis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Equilibrium statistical mechanics of lattice models, David A. Lavis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 finitesize scaling, conformal invariance and Schramm?Loewner evolution. Part II contains accounts of classical meanfield methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg?Landau theory is introduced. The extension of meanfield theory to higherorders 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 onedimensionally infinite models and for exact solutions for twodimensionally infinite systems. The latter is applied to a general analysis of eightvertex models yielding as special cases the twodimensional Ising model and the sixvertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and realspace renormalization group transformations are discussed. The use of the De Neef?Enting finitelattice 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 Padé, differential and algebraic approximants to locate and analyze second and firstorder 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
 Language
 eng
 Extent
 1 online resource (xvii, 793 pages)
 Contents

 Part I Thermodynamics, Statistical Mechanical Models and Phase Transitions
 Introduction
 Thermodynamics
 Statistical Mechanics
 A Survey of Models
 Phase Transitions and Scaling Theory
 Part II Classical Approximation Methods
 Phenomenological Theory and Landau Expansions
 Classical Methods
 The Van der Waals Equation
 Landau Expansions with One Order Parameter
 Landau Expansions with Two Order Parameter
 Landau Theory for a Tricritical Point
 Landau_Ginzburg Theory
 MeanField Theory
 ClusterVariation Methods
 Part III Exact Results
 Introduction
 Algebraic Methods
 Transformation Methods
 EdgeDecorated Ising Models
 11 Transfer Matrices: Incipient Phase Transitions
 Transfer Matrices: Exactly Solved Models
 Dimer Models
 Part IV Series and Renormalization Group Methods
 Introduction
 Series Expansions
 RealSpace Renormalization Group Theory
 A Appendices. References and Author Index
 Isbn
 9789401794305
 Label
 Equilibrium statistical mechanics of lattice models
 Title
 Equilibrium statistical mechanics of lattice models
 Statement of responsibility
 David A. Lavis
 Subject

 Probability Theory and Stochastic Processes
 Atomic Physics
 Materials / States of matter
 Electronic books
 Science  Physics
 Science  Mathematical Physics
 Mathematical Physics
 Physical Sciences & Mathematics
 Statistical Physics, Dynamical Systems and Complexity
 Mathematical physics
 Lattice theory
 Statistical mechanics
 Science  Solid State Physics
 Statistical physics
 Irreversible processes
 Lattice theory
 Probability & statistics
 Mathematics  Probability & Statistics  General
 Physics
 Condensed Matter Physics
 Mathematical Methods in Physics
 Statistical mechanics
 Physics
 Irreversible processes
 Language
 eng
 Summary
 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 finitesize scaling, conformal invariance and Schramm?Loewner evolution. Part II contains accounts of classical meanfield methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg?Landau theory is introduced. The extension of meanfield theory to higherorders 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 onedimensionally infinite models and for exact solutions for twodimensionally infinite systems. The latter is applied to a general analysis of eightvertex models yielding as special cases the twodimensional Ising model and the sixvertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and realspace renormalization group transformations are discussed. The use of the De Neef?Enting finitelattice 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 Padé, differential and algebraic approximants to locate and analyze second and firstorder 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1939
 http://library.link/vocab/creatorName
 Lavis, D. A.
 Dewey number
 530.13
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC174.8
 LC item number
 .L38 2015eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Theoretical and Mathematical Physics,
 http://library.link/vocab/subjectName

 Statistical mechanics
 Lattice theory
 Irreversible processes
 Irreversible processes
 Lattice theory
 Statistical mechanics
 Science
 Science
 Mathematics
 Mathematical physics
 Materials / States of matter
 Probability & statistics
 Statistical physics
 Science
 Physics
 Physical Sciences & Mathematics
 Atomic Physics
 Physics
 Statistical Physics, Dynamical Systems and Complexity
 Mathematical Methods in Physics
 Mathematical Physics
 Condensed Matter Physics
 Probability Theory and Stochastic Processes
 Label
 Equilibrium statistical mechanics of lattice models, David A. Lavis
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Thermodynamics, Statistical Mechanical Models and Phase Transitions  Introduction  Thermodynamics  Statistical Mechanics  A Survey of Models  Phase Transitions and Scaling Theory  Part II Classical Approximation Methods  Phenomenological Theory and Landau Expansions  Classical Methods  The Van der Waals Equation  Landau Expansions with One Order Parameter  Landau Expansions with Two Order Parameter  Landau Theory for a Tricritical Point  Landau_Ginzburg Theory  MeanField Theory  ClusterVariation Methods  Part III Exact Results  Introduction  Algebraic Methods  Transformation Methods  EdgeDecorated Ising Models  11 Transfer Matrices: Incipient Phase Transitions  Transfer Matrices: Exactly Solved Models  Dimer Models  Part IV Series and Renormalization Group Methods  Introduction  Series Expansions  RealSpace Renormalization Group Theory  A Appendices. References and Author Index
 Dimensions
 unknown
 Extent
 1 online resource (xvii, 793 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789401794305
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9789401794305
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)903010187
 (OCoLC)ocn903010187
 Label
 Equilibrium statistical mechanics of lattice models, David A. Lavis
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Thermodynamics, Statistical Mechanical Models and Phase Transitions  Introduction  Thermodynamics  Statistical Mechanics  A Survey of Models  Phase Transitions and Scaling Theory  Part II Classical Approximation Methods  Phenomenological Theory and Landau Expansions  Classical Methods  The Van der Waals Equation  Landau Expansions with One Order Parameter  Landau Expansions with Two Order Parameter  Landau Theory for a Tricritical Point  Landau_Ginzburg Theory  MeanField Theory  ClusterVariation Methods  Part III Exact Results  Introduction  Algebraic Methods  Transformation Methods  EdgeDecorated Ising Models  11 Transfer Matrices: Incipient Phase Transitions  Transfer Matrices: Exactly Solved Models  Dimer Models  Part IV Series and Renormalization Group Methods  Introduction  Series Expansions  RealSpace Renormalization Group Theory  A Appendices. References and Author Index
 Dimensions
 unknown
 Extent
 1 online resource (xvii, 793 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789401794305
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9789401794305
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)903010187
 (OCoLC)ocn903010187
Subject
 Atomic Physics
 Condensed Matter Physics
 Electronic books
 Irreversible processes
 Irreversible processes
 Lattice theory
 Lattice theory
 Materials / States of matter
 Mathematical Methods in Physics
 Mathematical Physics
 Mathematical physics
 Mathematics  Probability & Statistics  General
 Physical Sciences & Mathematics
 Physics
 Physics
 Probability & statistics
 Probability Theory and Stochastic Processes
 Science  Mathematical Physics
 Science  Physics
 Science  Solid State Physics
 Statistical Physics, Dynamical Systems and Complexity
 Statistical mechanics
 Statistical mechanics
 Statistical physics
Genre
Member of
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