Monte Carlo simulations of disordered systems /:
This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brow...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore ; River Edge, N.J. :
World Scientific,
1992.
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Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling. Contents: Intr. |
Beschreibung: | 1 online resource (xii, 179 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 170-172) and index. |
ISBN: | 9789814503310 9814503312 |
Internformat
MARC
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100 | 1 | |a Jain, S. | |
245 | 1 | 0 | |a Monte Carlo simulations of disordered systems / |c S. Jain. |
264 | 1 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c 1992. | |
300 | |a 1 online resource (xii, 179 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
504 | |a Includes bibliographical references (pages 170-172) and index. | ||
588 | 0 | |a Print version record. | |
505 | 0 | |a PREFACE; CONTENTS; Chapter 1 INTRODUCTION; Chapter 2 ELEMENTARY PROBABILITY AND STATISTICS; 2.1 Introduction; 2.2 Probability; 2.3 Random Variable; 2.3.1 Expectation value; 2.3.2 Variance; 2.3.3 Covariance; 2.3.4 Function of a random variable; 2.3.5 Conditional expectation; 2.4 Statistics; 2.4.1 Sample mean; 2.4.2 Sample variance; 2.5 Distribution Functions; 2.5.1 The binomial distribution; 2.5.2 The Gaussian distribution; 2.6 Central Limit Theorem; 2.7 Markov Processes; 2.8 Random Numbers; Chapter 3 NUMERICAL INTEGRATION; 3.1 Introduction; 3.2 The Rectangular Rule. | |
505 | 8 | |a 3.3 The Trapezoidal Rule3.4 Simpson's Rule; 3.5 Quadrature Rules; 3.6 The Simple Monte Carlo Technique; 3.7 Hit or Miss Monte Carlo Method; 3.8 The Mixed Method; 3.9 Selective Sampling By Monte Carlo; 3.10 Buffon's Needle; Chapter 4 THERMODYNAMICS; 4.1 Introduction; 4.2 The Laws of Thermodynamics; 4.2.1 The zeroth law of thermodynamics; 4.2.2 The first law of thermodynamics; 4.2.3 The second law of thermodynamics; 4.2.4 The third law of thermodynamics; 4.3 Thermodynamic Relations; 4.4 Response and Correlation Functions; 4.5 Phase Transitions; 4.6 Order Parameters. | |
505 | 8 | |a 4.7 Critical Point Exponents4.8 Ginzburg-Landau Phenomenological Theory of Ferromagnetism; Chapter 5 STATISTICAL MECHANICS; 5.1 Introduction; 5.2 The Microscopic Model; 5.2.1 The classical microscopic model; 5.2.2 The quantum mechanical model; 5.3 Ensembles in Statistical Mechanics; 5.3.1 The Gibbs microcanonical ensemble; 5.3.2 The canonical ensemble; 5.3.3 The grand canonical ensemble; 5.4 Statistical Thermodynamics; 5.5 The Classical Canonical Partition Function; 5.6 Phase Transitions and Critical Exponents; Chapter 6 MODEL SYSTEMS; 6.1 Introduction; 6.2 Basic Model Systems. | |
505 | 8 | |a 6.2.1 Spatial dimensionality6.2.2 Spin dimensionality; 6.2.3 Interactions; 6.2.4 A typical model system; 6.3 An Exactly Solved Model; 6.4 Mean Field Theory; 6.5 Fluctuations; 6.6 Scaling and Scaling Laws; 6.7 Approximate Techniques; Chapter 7 DISORDERED MODEL SYSTEMS; 7.1 Introduction; 7.2 Disorder; 7.2.1 Annealed disorder; 7.2.2 Quenched disorder; 7.3 Disordered Lattices; 7.3.1 Site percolation; 7.3.2 Bond percolation; 7.4 Diluted Spin Systems; 7.4.1 Site-diluted; 7.4.2 Bond-diluted; 7.5 Disordered Interactions; 7.6 Mixed Systems; 7.7 Fractals. | |
505 | 8 | |a 7.7.1 Non-random fractals7.7.2 Random fractals; Chapter 8 MONTE CARLO SIMULATIONS; 8.1 Introduction; 8.2 The Monte Carlo Technique; 8.2.1 Importance sampling; 8.2.2 The transition probability; 8.2.3 The master equation; 8.3 The Two-Dimensional Ising Model; 8.3.1 The algorithm; 8.4 Errors; 8.4.1 Statistical errors; 8.4.2 Systematic errors; 8.5 Further Checks on the Simulations; 8.6 Statistical Analysis; 8.6.1 The chi-squared test; 8.7 Final Note; BIBLIOGRAPHY; INDEX. | |
520 | |a This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling. Contents: Intr. | ||
650 | 0 | |a Order-disorder models. |0 http://id.loc.gov/authorities/subjects/sh85095360 | |
650 | 0 | |a Monte Carlo method. |0 http://id.loc.gov/authorities/subjects/sh85087032 | |
650 | 0 | |a Digitial computer simulation. | |
650 | 2 | |a Monte Carlo Method |0 https://id.nlm.nih.gov/mesh/D009010 | |
650 | 6 | |a Ordre et désordre (Physique) | |
650 | 6 | |a Méthode de Monte-Carlo. | |
650 | 7 | |a SCIENCE |x System Theory. |2 bisacsh | |
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650 | 7 | |a Stochastisches System |2 gnd |0 http://d-nb.info/gnd/4057635-8 | |
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contents | PREFACE; CONTENTS; Chapter 1 INTRODUCTION; Chapter 2 ELEMENTARY PROBABILITY AND STATISTICS; 2.1 Introduction; 2.2 Probability; 2.3 Random Variable; 2.3.1 Expectation value; 2.3.2 Variance; 2.3.3 Covariance; 2.3.4 Function of a random variable; 2.3.5 Conditional expectation; 2.4 Statistics; 2.4.1 Sample mean; 2.4.2 Sample variance; 2.5 Distribution Functions; 2.5.1 The binomial distribution; 2.5.2 The Gaussian distribution; 2.6 Central Limit Theorem; 2.7 Markov Processes; 2.8 Random Numbers; Chapter 3 NUMERICAL INTEGRATION; 3.1 Introduction; 3.2 The Rectangular Rule. 3.3 The Trapezoidal Rule3.4 Simpson's Rule; 3.5 Quadrature Rules; 3.6 The Simple Monte Carlo Technique; 3.7 Hit or Miss Monte Carlo Method; 3.8 The Mixed Method; 3.9 Selective Sampling By Monte Carlo; 3.10 Buffon's Needle; Chapter 4 THERMODYNAMICS; 4.1 Introduction; 4.2 The Laws of Thermodynamics; 4.2.1 The zeroth law of thermodynamics; 4.2.2 The first law of thermodynamics; 4.2.3 The second law of thermodynamics; 4.2.4 The third law of thermodynamics; 4.3 Thermodynamic Relations; 4.4 Response and Correlation Functions; 4.5 Phase Transitions; 4.6 Order Parameters. 4.7 Critical Point Exponents4.8 Ginzburg-Landau Phenomenological Theory of Ferromagnetism; Chapter 5 STATISTICAL MECHANICS; 5.1 Introduction; 5.2 The Microscopic Model; 5.2.1 The classical microscopic model; 5.2.2 The quantum mechanical model; 5.3 Ensembles in Statistical Mechanics; 5.3.1 The Gibbs microcanonical ensemble; 5.3.2 The canonical ensemble; 5.3.3 The grand canonical ensemble; 5.4 Statistical Thermodynamics; 5.5 The Classical Canonical Partition Function; 5.6 Phase Transitions and Critical Exponents; Chapter 6 MODEL SYSTEMS; 6.1 Introduction; 6.2 Basic Model Systems. 6.2.1 Spatial dimensionality6.2.2 Spin dimensionality; 6.2.3 Interactions; 6.2.4 A typical model system; 6.3 An Exactly Solved Model; 6.4 Mean Field Theory; 6.5 Fluctuations; 6.6 Scaling and Scaling Laws; 6.7 Approximate Techniques; Chapter 7 DISORDERED MODEL SYSTEMS; 7.1 Introduction; 7.2 Disorder; 7.2.1 Annealed disorder; 7.2.2 Quenched disorder; 7.3 Disordered Lattices; 7.3.1 Site percolation; 7.3.2 Bond percolation; 7.4 Diluted Spin Systems; 7.4.1 Site-diluted; 7.4.2 Bond-diluted; 7.5 Disordered Interactions; 7.6 Mixed Systems; 7.7 Fractals. 7.7.1 Non-random fractals7.7.2 Random fractals; Chapter 8 MONTE CARLO SIMULATIONS; 8.1 Introduction; 8.2 The Monte Carlo Technique; 8.2.1 Importance sampling; 8.2.2 The transition probability; 8.2.3 The master equation; 8.3 The Two-Dimensional Ising Model; 8.3.1 The algorithm; 8.4 Errors; 8.4.1 Statistical errors; 8.4.2 Systematic errors; 8.5 Further Checks on the Simulations; 8.6 Statistical Analysis; 8.6.1 The chi-squared test; 8.7 Final Note; BIBLIOGRAPHY; INDEX. |
ctrlnum | (OCoLC)880147944 |
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discipline | Informatik |
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Jain.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore ;</subfield><subfield code="a">River Edge, N.J. :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">1992.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 179 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 170-172) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">PREFACE; CONTENTS; Chapter 1 INTRODUCTION; Chapter 2 ELEMENTARY PROBABILITY AND STATISTICS; 2.1 Introduction; 2.2 Probability; 2.3 Random Variable; 2.3.1 Expectation value; 2.3.2 Variance; 2.3.3 Covariance; 2.3.4 Function of a random variable; 2.3.5 Conditional expectation; 2.4 Statistics; 2.4.1 Sample mean; 2.4.2 Sample variance; 2.5 Distribution Functions; 2.5.1 The binomial distribution; 2.5.2 The Gaussian distribution; 2.6 Central Limit Theorem; 2.7 Markov Processes; 2.8 Random Numbers; Chapter 3 NUMERICAL INTEGRATION; 3.1 Introduction; 3.2 The Rectangular Rule.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3.3 The Trapezoidal Rule3.4 Simpson's Rule; 3.5 Quadrature Rules; 3.6 The Simple Monte Carlo Technique; 3.7 Hit or Miss Monte Carlo Method; 3.8 The Mixed Method; 3.9 Selective Sampling By Monte Carlo; 3.10 Buffon's Needle; Chapter 4 THERMODYNAMICS; 4.1 Introduction; 4.2 The Laws of Thermodynamics; 4.2.1 The zeroth law of thermodynamics; 4.2.2 The first law of thermodynamics; 4.2.3 The second law of thermodynamics; 4.2.4 The third law of thermodynamics; 4.3 Thermodynamic Relations; 4.4 Response and Correlation Functions; 4.5 Phase Transitions; 4.6 Order Parameters.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">4.7 Critical Point Exponents4.8 Ginzburg-Landau Phenomenological Theory of Ferromagnetism; Chapter 5 STATISTICAL MECHANICS; 5.1 Introduction; 5.2 The Microscopic Model; 5.2.1 The classical microscopic model; 5.2.2 The quantum mechanical model; 5.3 Ensembles in Statistical Mechanics; 5.3.1 The Gibbs microcanonical ensemble; 5.3.2 The canonical ensemble; 5.3.3 The grand canonical ensemble; 5.4 Statistical Thermodynamics; 5.5 The Classical Canonical Partition Function; 5.6 Phase Transitions and Critical Exponents; Chapter 6 MODEL SYSTEMS; 6.1 Introduction; 6.2 Basic Model Systems.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">6.2.1 Spatial dimensionality6.2.2 Spin dimensionality; 6.2.3 Interactions; 6.2.4 A typical model system; 6.3 An Exactly Solved Model; 6.4 Mean Field Theory; 6.5 Fluctuations; 6.6 Scaling and Scaling Laws; 6.7 Approximate Techniques; Chapter 7 DISORDERED MODEL SYSTEMS; 7.1 Introduction; 7.2 Disorder; 7.2.1 Annealed disorder; 7.2.2 Quenched disorder; 7.3 Disordered Lattices; 7.3.1 Site percolation; 7.3.2 Bond percolation; 7.4 Diluted Spin Systems; 7.4.1 Site-diluted; 7.4.2 Bond-diluted; 7.5 Disordered Interactions; 7.6 Mixed Systems; 7.7 Fractals.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.7.1 Non-random fractals7.7.2 Random fractals; Chapter 8 MONTE CARLO SIMULATIONS; 8.1 Introduction; 8.2 The Monte Carlo Technique; 8.2.1 Importance sampling; 8.2.2 The transition probability; 8.2.3 The master equation; 8.3 The Two-Dimensional Ising Model; 8.3.1 The algorithm; 8.4 Errors; 8.4.1 Statistical errors; 8.4.2 Systematic errors; 8.5 Further Checks on the Simulations; 8.6 Statistical Analysis; 8.6.1 The chi-squared test; 8.7 Final Note; BIBLIOGRAPHY; INDEX.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling. 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id | ZDB-4-EBA-ocn880147944 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:25:59Z |
institution | BVB |
isbn | 9789814503310 9814503312 |
language | English |
oclc_num | 880147944 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xii, 179 pages) : illustrations |
psigel | ZDB-4-EBA |
publishDate | 1992 |
publishDateSearch | 1992 |
publishDateSort | 1992 |
publisher | World Scientific, |
record_format | marc |
spelling | Jain, S. Monte Carlo simulations of disordered systems / S. Jain. Singapore ; River Edge, N.J. : World Scientific, 1992. 1 online resource (xii, 179 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 170-172) and index. Print version record. PREFACE; CONTENTS; Chapter 1 INTRODUCTION; Chapter 2 ELEMENTARY PROBABILITY AND STATISTICS; 2.1 Introduction; 2.2 Probability; 2.3 Random Variable; 2.3.1 Expectation value; 2.3.2 Variance; 2.3.3 Covariance; 2.3.4 Function of a random variable; 2.3.5 Conditional expectation; 2.4 Statistics; 2.4.1 Sample mean; 2.4.2 Sample variance; 2.5 Distribution Functions; 2.5.1 The binomial distribution; 2.5.2 The Gaussian distribution; 2.6 Central Limit Theorem; 2.7 Markov Processes; 2.8 Random Numbers; Chapter 3 NUMERICAL INTEGRATION; 3.1 Introduction; 3.2 The Rectangular Rule. 3.3 The Trapezoidal Rule3.4 Simpson's Rule; 3.5 Quadrature Rules; 3.6 The Simple Monte Carlo Technique; 3.7 Hit or Miss Monte Carlo Method; 3.8 The Mixed Method; 3.9 Selective Sampling By Monte Carlo; 3.10 Buffon's Needle; Chapter 4 THERMODYNAMICS; 4.1 Introduction; 4.2 The Laws of Thermodynamics; 4.2.1 The zeroth law of thermodynamics; 4.2.2 The first law of thermodynamics; 4.2.3 The second law of thermodynamics; 4.2.4 The third law of thermodynamics; 4.3 Thermodynamic Relations; 4.4 Response and Correlation Functions; 4.5 Phase Transitions; 4.6 Order Parameters. 4.7 Critical Point Exponents4.8 Ginzburg-Landau Phenomenological Theory of Ferromagnetism; Chapter 5 STATISTICAL MECHANICS; 5.1 Introduction; 5.2 The Microscopic Model; 5.2.1 The classical microscopic model; 5.2.2 The quantum mechanical model; 5.3 Ensembles in Statistical Mechanics; 5.3.1 The Gibbs microcanonical ensemble; 5.3.2 The canonical ensemble; 5.3.3 The grand canonical ensemble; 5.4 Statistical Thermodynamics; 5.5 The Classical Canonical Partition Function; 5.6 Phase Transitions and Critical Exponents; Chapter 6 MODEL SYSTEMS; 6.1 Introduction; 6.2 Basic Model Systems. 6.2.1 Spatial dimensionality6.2.2 Spin dimensionality; 6.2.3 Interactions; 6.2.4 A typical model system; 6.3 An Exactly Solved Model; 6.4 Mean Field Theory; 6.5 Fluctuations; 6.6 Scaling and Scaling Laws; 6.7 Approximate Techniques; Chapter 7 DISORDERED MODEL SYSTEMS; 7.1 Introduction; 7.2 Disorder; 7.2.1 Annealed disorder; 7.2.2 Quenched disorder; 7.3 Disordered Lattices; 7.3.1 Site percolation; 7.3.2 Bond percolation; 7.4 Diluted Spin Systems; 7.4.1 Site-diluted; 7.4.2 Bond-diluted; 7.5 Disordered Interactions; 7.6 Mixed Systems; 7.7 Fractals. 7.7.1 Non-random fractals7.7.2 Random fractals; Chapter 8 MONTE CARLO SIMULATIONS; 8.1 Introduction; 8.2 The Monte Carlo Technique; 8.2.1 Importance sampling; 8.2.2 The transition probability; 8.2.3 The master equation; 8.3 The Two-Dimensional Ising Model; 8.3.1 The algorithm; 8.4 Errors; 8.4.1 Statistical errors; 8.4.2 Systematic errors; 8.5 Further Checks on the Simulations; 8.6 Statistical Analysis; 8.6.1 The chi-squared test; 8.7 Final Note; BIBLIOGRAPHY; INDEX. This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling. Contents: Intr. Order-disorder models. http://id.loc.gov/authorities/subjects/sh85095360 Monte Carlo method. http://id.loc.gov/authorities/subjects/sh85087032 Digitial computer simulation. Monte Carlo Method https://id.nlm.nih.gov/mesh/D009010 Ordre et désordre (Physique) Méthode de Monte-Carlo. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Monte Carlo method fast Order-disorder models fast Monte-Carlo-Simulation gnd http://d-nb.info/gnd/4240945-7 Stochastisches System gnd http://d-nb.info/gnd/4057635-8 Monte-Carlo, Méthode de. ram Ordre et désordre (physique) ram Print version: Jain, S. Monte Carlo simulations of disordered systems 9971506602 (DLC) 91044058 (OCoLC)24952335 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=779665 Volltext |
spellingShingle | Jain, S. Monte Carlo simulations of disordered systems / PREFACE; CONTENTS; Chapter 1 INTRODUCTION; Chapter 2 ELEMENTARY PROBABILITY AND STATISTICS; 2.1 Introduction; 2.2 Probability; 2.3 Random Variable; 2.3.1 Expectation value; 2.3.2 Variance; 2.3.3 Covariance; 2.3.4 Function of a random variable; 2.3.5 Conditional expectation; 2.4 Statistics; 2.4.1 Sample mean; 2.4.2 Sample variance; 2.5 Distribution Functions; 2.5.1 The binomial distribution; 2.5.2 The Gaussian distribution; 2.6 Central Limit Theorem; 2.7 Markov Processes; 2.8 Random Numbers; Chapter 3 NUMERICAL INTEGRATION; 3.1 Introduction; 3.2 The Rectangular Rule. 3.3 The Trapezoidal Rule3.4 Simpson's Rule; 3.5 Quadrature Rules; 3.6 The Simple Monte Carlo Technique; 3.7 Hit or Miss Monte Carlo Method; 3.8 The Mixed Method; 3.9 Selective Sampling By Monte Carlo; 3.10 Buffon's Needle; Chapter 4 THERMODYNAMICS; 4.1 Introduction; 4.2 The Laws of Thermodynamics; 4.2.1 The zeroth law of thermodynamics; 4.2.2 The first law of thermodynamics; 4.2.3 The second law of thermodynamics; 4.2.4 The third law of thermodynamics; 4.3 Thermodynamic Relations; 4.4 Response and Correlation Functions; 4.5 Phase Transitions; 4.6 Order Parameters. 4.7 Critical Point Exponents4.8 Ginzburg-Landau Phenomenological Theory of Ferromagnetism; Chapter 5 STATISTICAL MECHANICS; 5.1 Introduction; 5.2 The Microscopic Model; 5.2.1 The classical microscopic model; 5.2.2 The quantum mechanical model; 5.3 Ensembles in Statistical Mechanics; 5.3.1 The Gibbs microcanonical ensemble; 5.3.2 The canonical ensemble; 5.3.3 The grand canonical ensemble; 5.4 Statistical Thermodynamics; 5.5 The Classical Canonical Partition Function; 5.6 Phase Transitions and Critical Exponents; Chapter 6 MODEL SYSTEMS; 6.1 Introduction; 6.2 Basic Model Systems. 6.2.1 Spatial dimensionality6.2.2 Spin dimensionality; 6.2.3 Interactions; 6.2.4 A typical model system; 6.3 An Exactly Solved Model; 6.4 Mean Field Theory; 6.5 Fluctuations; 6.6 Scaling and Scaling Laws; 6.7 Approximate Techniques; Chapter 7 DISORDERED MODEL SYSTEMS; 7.1 Introduction; 7.2 Disorder; 7.2.1 Annealed disorder; 7.2.2 Quenched disorder; 7.3 Disordered Lattices; 7.3.1 Site percolation; 7.3.2 Bond percolation; 7.4 Diluted Spin Systems; 7.4.1 Site-diluted; 7.4.2 Bond-diluted; 7.5 Disordered Interactions; 7.6 Mixed Systems; 7.7 Fractals. 7.7.1 Non-random fractals7.7.2 Random fractals; Chapter 8 MONTE CARLO SIMULATIONS; 8.1 Introduction; 8.2 The Monte Carlo Technique; 8.2.1 Importance sampling; 8.2.2 The transition probability; 8.2.3 The master equation; 8.3 The Two-Dimensional Ising Model; 8.3.1 The algorithm; 8.4 Errors; 8.4.1 Statistical errors; 8.4.2 Systematic errors; 8.5 Further Checks on the Simulations; 8.6 Statistical Analysis; 8.6.1 The chi-squared test; 8.7 Final Note; BIBLIOGRAPHY; INDEX. Order-disorder models. http://id.loc.gov/authorities/subjects/sh85095360 Monte Carlo method. http://id.loc.gov/authorities/subjects/sh85087032 Digitial computer simulation. Monte Carlo Method https://id.nlm.nih.gov/mesh/D009010 Ordre et désordre (Physique) Méthode de Monte-Carlo. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Monte Carlo method fast Order-disorder models fast Monte-Carlo-Simulation gnd http://d-nb.info/gnd/4240945-7 Stochastisches System gnd http://d-nb.info/gnd/4057635-8 Monte-Carlo, Méthode de. ram Ordre et désordre (physique) ram |
subject_GND | http://id.loc.gov/authorities/subjects/sh85095360 http://id.loc.gov/authorities/subjects/sh85087032 https://id.nlm.nih.gov/mesh/D009010 http://d-nb.info/gnd/4240945-7 http://d-nb.info/gnd/4057635-8 |
title | Monte Carlo simulations of disordered systems / |
title_auth | Monte Carlo simulations of disordered systems / |
title_exact_search | Monte Carlo simulations of disordered systems / |
title_full | Monte Carlo simulations of disordered systems / S. Jain. |
title_fullStr | Monte Carlo simulations of disordered systems / S. Jain. |
title_full_unstemmed | Monte Carlo simulations of disordered systems / S. Jain. |
title_short | Monte Carlo simulations of disordered systems / |
title_sort | monte carlo simulations of disordered systems |
topic | Order-disorder models. http://id.loc.gov/authorities/subjects/sh85095360 Monte Carlo method. http://id.loc.gov/authorities/subjects/sh85087032 Digitial computer simulation. Monte Carlo Method https://id.nlm.nih.gov/mesh/D009010 Ordre et désordre (Physique) Méthode de Monte-Carlo. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Monte Carlo method fast Order-disorder models fast Monte-Carlo-Simulation gnd http://d-nb.info/gnd/4240945-7 Stochastisches System gnd http://d-nb.info/gnd/4057635-8 Monte-Carlo, Méthode de. ram Ordre et désordre (physique) ram |
topic_facet | Order-disorder models. Monte Carlo method. Digitial computer simulation. Monte Carlo Method Ordre et désordre (Physique) Méthode de Monte-Carlo. SCIENCE System Theory. TECHNOLOGY & ENGINEERING Operations Research. Monte Carlo method Order-disorder models Monte-Carlo-Simulation Stochastisches System Monte-Carlo, Méthode de. Ordre et désordre (physique) |
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work_keys_str_mv | AT jains montecarlosimulationsofdisorderedsystems |