Equilibrium Statistical Mechanics of Lattice Models:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer
2015
|
| Series: | Theoretical and Mathematical Physics
|
| Subjects: | |
| Online Access: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XVII, 793 p. 101 illus) |
| ISBN: | 9789401794305 |
| ISSN: | 1864-5879 |
| DOI: | 10.1007/978-94-017-9430-5 |
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Record in the Search Index
| _version_ | 1804152928614744065 |
|---|---|
| adam_text | EQUILIBRIUM STATISTICAL MECHANICS OF LATTICE MODELS
/ LAVIS, DAVID A.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
MEAN-FIELD THEORY
CLUSTER-VARIATION METHODS
PART III EXACT RESULTS
INTRODUCTION
ALGEBRAIC METHODS
TRANSFORMATION METHODS
EDGE-DECORATED 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
REAL-SPACE RENORMALIZATION GROUP THEORY
A APPENDICES.-REFERENCES AND AUTHOR INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
EQUILIBRIUM STATISTICAL MECHANICS OF LATTICE MODELS
/ LAVIS, DAVID A.
: 2015
ABSTRACT / INHALTSTEXT
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 PADE,
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621 |
| dewey-search | 621 |
| dewey-sort | 3621 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| doi_str_mv | 10.1007/978-94-017-9430-5 |
| format | Electronic eBook |
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| isbn | 9789401794305 |
| issn | 1864-5879 |
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| spelling | Lavis, David A. 1939- Verfasser (DE-588)120714310 aut Equilibrium Statistical Mechanics of Lattice Models David A. Lavis Dordrecht [u.a.] Springer 2015 1 Online-Ressource (XVII, 793 p. 101 illus) txt rdacontent c rdamedia cr rdacarrier Theoretical and Mathematical Physics 1864-5879 Physics Distribution (Probability theory) Mathematical physics Statistical Physics, Dynamical Systems and Complexity Mathematical Methods in Physics Mathematical Physics Condensed Matter Physics Probability Theory and Stochastic Processes Mathematische Physik Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-94-017-9429-9 https://doi.org/10.1007/978-94-017-9430-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763222&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lavis, David A. 1939- Equilibrium Statistical Mechanics of Lattice Models Physics Distribution (Probability theory) Mathematical physics Statistical Physics, Dynamical Systems and Complexity Mathematical Methods in Physics Mathematical Physics Condensed Matter Physics Probability Theory and Stochastic Processes Mathematische Physik Statistische Thermodynamik (DE-588)4126251-7 gnd |
| subject_GND | (DE-588)4126251-7 |
| title | Equilibrium Statistical Mechanics of Lattice Models |
| title_auth | Equilibrium Statistical Mechanics of Lattice Models |
| title_exact_search | Equilibrium Statistical Mechanics of Lattice Models |
| title_full | Equilibrium Statistical Mechanics of Lattice Models David A. Lavis |
| title_fullStr | Equilibrium Statistical Mechanics of Lattice Models David A. Lavis |
| title_full_unstemmed | Equilibrium Statistical Mechanics of Lattice Models David A. Lavis |
| title_short | Equilibrium Statistical Mechanics of Lattice Models |
| title_sort | equilibrium statistical mechanics of lattice models |
| topic | Physics Distribution (Probability theory) Mathematical physics Statistical Physics, Dynamical Systems and Complexity Mathematical Methods in Physics Mathematical Physics Condensed Matter Physics Probability Theory and Stochastic Processes Mathematische Physik Statistische Thermodynamik (DE-588)4126251-7 gnd |
| topic_facet | Physics Distribution (Probability theory) Mathematical physics Statistical Physics, Dynamical Systems and Complexity Mathematical Methods in Physics Mathematical Physics Condensed Matter Physics Probability Theory and Stochastic Processes Mathematische Physik Statistische Thermodynamik |
| url | https://doi.org/10.1007/978-94-017-9430-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763222&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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