Order, Disorder and Criticality: Advanced Problems of Phase Transition Theory - Volume 3
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
2012
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | 3. Statistical Analysis of Monte Carlo Data Print version record |
| Physical Description: | 1 online resource (248 pages) |
| ISBN: | 9789814417891 9814417890 |
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| 245 | 1 | 0 | |a Order, Disorder and Criticality |b Advanced Problems of Phase Transition Theory - Volume 3 |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c 2012 | |
| 300 | |a 1 online resource (248 pages) | ||
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| 500 | |a 3. Statistical Analysis of Monte Carlo Data | ||
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| 505 | 8 | |a Preface; 1. Universal Scaling Relations for Logarithmic-Correction Exponents R. Kenna; 1. Introduction; 2. Scaling Relations at Second-Order Phase Transitions; 2.1. Leading scaling behaviour; 2.2. Scaling relations for leading exponents; 2.3. Logarithmic scaling corrections; 2.4. Scaling relations for logarithmic exponents; 3. Standard Derivation of Leading Scaling Relations; 3.1. Static scaling; 3.2. Renormalization group; 3.3. Fisher's scaling relation; 3.4. The shift exponent; 4. Logarithmic Corrections; 4.1. Static correction exponents; 4.2. Hyperscaling for logarithms | |
| 505 | 8 | |a 4.3. Logarithmic counterpart to Fisher's relation4.4. Corrections to the logarithmic scaling relations; 4.5. The logarithmic shift exponent; 5. Fisher Renormalization for Logarithmic Corrections; 6. Logarithmic Correction Exponents for Various Models; 6.1. q = 4 d = 2 Potts model; 6.2. O(N) 4d theory; 6.3. Long-range O(N) 4d theory; 6.4. Spin glasses in 6 dimensions; 6.5. Percolation in 6 dimensions; 6.6. Lee-yang problem in 6 dimensions and lattice animals in 8 dimensions; 6.7. Ising model in 2 dimensions; 6.8. Quenched-disordered Ising model in 2 dimensions | |
| 505 | 8 | |a 6.9. Ashkin-Teller model in 2 dimensions6.10. Spin models on networks; 7. Conclusions; Acknowledgements; Appendix A. Homogeneous Functions; References; 2. Phase Behaviour and Criticality in Primitive Models of Ionic Fluids O.V. Patsahan and I.M. Mryglod; 1. Introduction; 2. Historical Background; 3. Location of the Gas-Liquid Critical Point of the RPM; 3.1. Computer simulations; 3.2. Generalized Debye-Huckel theory; 3.3. Associating mean-spherical approximation (AMSA); 4. The KSSHE Theory; 5. The Method of Collective Variables. Links to Other Theories | |
| 505 | 8 | |a 5.1. A two-component charge-asymmetric PM6. Gas-Liquid Separation in Asymmetric PMs: The Method of CVs; 6.1. Charge-asymmetric PMs; 6.2. Size and charge asymmetric PMs; 6.3. Monovalent PMs with size asymmetry; 6.4. Size- and charge-asymmetric PMs; 7. Critical Behaviour of the "Coulombic Systems": Theoretical Studies; 7.1. The effective Hamiltonian of the RPM in the vicinity of the gas-liquid critical point; 7.2. Crossover behaviour in fluids with Coulomb interactions; 7.3. Charge-charge correlations in the models of ionic fluids; 8. Conclusions; Acknowledgement; References | |
| 505 | 8 | |a 3. Monte Carlo Simulations in Statistical Physics- From Basic Principles to Advanced Applications W. Janke1. Introduction; 2. The Monte Carlo Method; 2.1. Random sampling; 2.2. Importance sampling; 2.3. Local update algorithms; 2.3.1. Metropolis algorithm; 2.3.2. Glauber algorithm; 2.3.3. Heat-bath algorithm; 2.4. Temporal correlations; 2.5. Cluster algorithms; 2.5.1. Swendsen-Wang multiple-cluster algorithm; 2.5.2. Wolff single-cluster algorithm; 2.5.3. Embedded cluster algorithm; 2.5.4. Performance of cluster algorithms; 2.5.5. Improved estimators | |
| 505 | 8 | |a This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, wh | |
| 650 | 4 | |a Critical phenomena (Physics) | |
| 650 | 7 | |a SCIENCE / Energy |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Mechanics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Physics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Physics / Condensed Matter |2 bisacsh | |
| 650 | 7 | |a Phase transformations (Statistical physics) |2 fast | |
| 650 | 4 | |a Phase transformations (Statistical physics) | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Holovatch, Yurij |t Order, Disorder and Criticality : Advanced Problems of Phase Transition Theory - Volume 3 |
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| author | Holovatch, Yurij |
| author_facet | Holovatch, Yurij |
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| author_sort | Holovatch, Yurij |
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| contents | Preface; 1. Universal Scaling Relations for Logarithmic-Correction Exponents R. Kenna; 1. Introduction; 2. Scaling Relations at Second-Order Phase Transitions; 2.1. Leading scaling behaviour; 2.2. Scaling relations for leading exponents; 2.3. Logarithmic scaling corrections; 2.4. Scaling relations for logarithmic exponents; 3. Standard Derivation of Leading Scaling Relations; 3.1. Static scaling; 3.2. Renormalization group; 3.3. Fisher's scaling relation; 3.4. The shift exponent; 4. Logarithmic Corrections; 4.1. Static correction exponents; 4.2. Hyperscaling for logarithms 4.3. Logarithmic counterpart to Fisher's relation4.4. Corrections to the logarithmic scaling relations; 4.5. The logarithmic shift exponent; 5. Fisher Renormalization for Logarithmic Corrections; 6. Logarithmic Correction Exponents for Various Models; 6.1. q = 4 d = 2 Potts model; 6.2. O(N) 4d theory; 6.3. Long-range O(N) 4d theory; 6.4. Spin glasses in 6 dimensions; 6.5. Percolation in 6 dimensions; 6.6. Lee-yang problem in 6 dimensions and lattice animals in 8 dimensions; 6.7. Ising model in 2 dimensions; 6.8. Quenched-disordered Ising model in 2 dimensions 6.9. Ashkin-Teller model in 2 dimensions6.10. Spin models on networks; 7. Conclusions; Acknowledgements; Appendix A. Homogeneous Functions; References; 2. Phase Behaviour and Criticality in Primitive Models of Ionic Fluids O.V. Patsahan and I.M. Mryglod; 1. Introduction; 2. Historical Background; 3. Location of the Gas-Liquid Critical Point of the RPM; 3.1. Computer simulations; 3.2. Generalized Debye-Huckel theory; 3.3. Associating mean-spherical approximation (AMSA); 4. The KSSHE Theory; 5. The Method of Collective Variables. Links to Other Theories 5.1. A two-component charge-asymmetric PM6. Gas-Liquid Separation in Asymmetric PMs: The Method of CVs; 6.1. Charge-asymmetric PMs; 6.2. Size and charge asymmetric PMs; 6.3. Monovalent PMs with size asymmetry; 6.4. Size- and charge-asymmetric PMs; 7. Critical Behaviour of the "Coulombic Systems": Theoretical Studies; 7.1. The effective Hamiltonian of the RPM in the vicinity of the gas-liquid critical point; 7.2. Crossover behaviour in fluids with Coulomb interactions; 7.3. Charge-charge correlations in the models of ionic fluids; 8. Conclusions; Acknowledgement; References 3. Monte Carlo Simulations in Statistical Physics- From Basic Principles to Advanced Applications W. Janke1. Introduction; 2. The Monte Carlo Method; 2.1. Random sampling; 2.2. Importance sampling; 2.3. Local update algorithms; 2.3.1. Metropolis algorithm; 2.3.2. Glauber algorithm; 2.3.3. Heat-bath algorithm; 2.4. Temporal correlations; 2.5. Cluster algorithms; 2.5.1. Swendsen-Wang multiple-cluster algorithm; 2.5.2. Wolff single-cluster algorithm; 2.5.3. Embedded cluster algorithm; 2.5.4. Performance of cluster algorithms; 2.5.5. Improved estimators This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, wh |
| ctrlnum | (OCoLC)840254734 (DE-599)BVBBV043032147 |
| dewey-full | 530.4/74 530.414 530.474 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/74 530.414 530.474 |
| dewey-search | 530.4/74 530.414 530.474 |
| dewey-sort | 3530.4 274 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043032147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:30Z |
| institution | BVB |
| isbn | 9789814417891 9814417890 |
| language | English |
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| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Holovatch, Yurij Verfasser aut Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 Singapore World Scientific Pub. Co. 2012 1 online resource (248 pages) txt rdacontent c rdamedia cr rdacarrier 3. Statistical Analysis of Monte Carlo Data Print version record Preface; 1. Universal Scaling Relations for Logarithmic-Correction Exponents R. Kenna; 1. Introduction; 2. Scaling Relations at Second-Order Phase Transitions; 2.1. Leading scaling behaviour; 2.2. Scaling relations for leading exponents; 2.3. Logarithmic scaling corrections; 2.4. Scaling relations for logarithmic exponents; 3. Standard Derivation of Leading Scaling Relations; 3.1. Static scaling; 3.2. Renormalization group; 3.3. Fisher's scaling relation; 3.4. The shift exponent; 4. Logarithmic Corrections; 4.1. Static correction exponents; 4.2. Hyperscaling for logarithms 4.3. Logarithmic counterpart to Fisher's relation4.4. Corrections to the logarithmic scaling relations; 4.5. The logarithmic shift exponent; 5. Fisher Renormalization for Logarithmic Corrections; 6. Logarithmic Correction Exponents for Various Models; 6.1. q = 4 d = 2 Potts model; 6.2. O(N) 4d theory; 6.3. Long-range O(N) 4d theory; 6.4. Spin glasses in 6 dimensions; 6.5. Percolation in 6 dimensions; 6.6. Lee-yang problem in 6 dimensions and lattice animals in 8 dimensions; 6.7. Ising model in 2 dimensions; 6.8. Quenched-disordered Ising model in 2 dimensions 6.9. Ashkin-Teller model in 2 dimensions6.10. Spin models on networks; 7. Conclusions; Acknowledgements; Appendix A. Homogeneous Functions; References; 2. Phase Behaviour and Criticality in Primitive Models of Ionic Fluids O.V. Patsahan and I.M. Mryglod; 1. Introduction; 2. Historical Background; 3. Location of the Gas-Liquid Critical Point of the RPM; 3.1. Computer simulations; 3.2. Generalized Debye-Huckel theory; 3.3. Associating mean-spherical approximation (AMSA); 4. The KSSHE Theory; 5. The Method of Collective Variables. Links to Other Theories 5.1. A two-component charge-asymmetric PM6. Gas-Liquid Separation in Asymmetric PMs: The Method of CVs; 6.1. Charge-asymmetric PMs; 6.2. Size and charge asymmetric PMs; 6.3. Monovalent PMs with size asymmetry; 6.4. Size- and charge-asymmetric PMs; 7. Critical Behaviour of the "Coulombic Systems": Theoretical Studies; 7.1. The effective Hamiltonian of the RPM in the vicinity of the gas-liquid critical point; 7.2. Crossover behaviour in fluids with Coulomb interactions; 7.3. Charge-charge correlations in the models of ionic fluids; 8. Conclusions; Acknowledgement; References 3. Monte Carlo Simulations in Statistical Physics- From Basic Principles to Advanced Applications W. Janke1. Introduction; 2. The Monte Carlo Method; 2.1. Random sampling; 2.2. Importance sampling; 2.3. Local update algorithms; 2.3.1. Metropolis algorithm; 2.3.2. Glauber algorithm; 2.3.3. Heat-bath algorithm; 2.4. Temporal correlations; 2.5. Cluster algorithms; 2.5.1. Swendsen-Wang multiple-cluster algorithm; 2.5.2. Wolff single-cluster algorithm; 2.5.3. Embedded cluster algorithm; 2.5.4. Performance of cluster algorithms; 2.5.5. Improved estimators This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, wh Critical phenomena (Physics) SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) Erscheint auch als Druck-Ausgabe Holovatch, Yurij Order, Disorder and Criticality : Advanced Problems of Phase Transition Theory - Volume 3 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=533876 Aggregator Volltext |
| spellingShingle | Holovatch, Yurij Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 Preface; 1. Universal Scaling Relations for Logarithmic-Correction Exponents R. Kenna; 1. Introduction; 2. Scaling Relations at Second-Order Phase Transitions; 2.1. Leading scaling behaviour; 2.2. Scaling relations for leading exponents; 2.3. Logarithmic scaling corrections; 2.4. Scaling relations for logarithmic exponents; 3. Standard Derivation of Leading Scaling Relations; 3.1. Static scaling; 3.2. Renormalization group; 3.3. Fisher's scaling relation; 3.4. The shift exponent; 4. Logarithmic Corrections; 4.1. Static correction exponents; 4.2. Hyperscaling for logarithms 4.3. Logarithmic counterpart to Fisher's relation4.4. Corrections to the logarithmic scaling relations; 4.5. The logarithmic shift exponent; 5. Fisher Renormalization for Logarithmic Corrections; 6. Logarithmic Correction Exponents for Various Models; 6.1. q = 4 d = 2 Potts model; 6.2. O(N) 4d theory; 6.3. Long-range O(N) 4d theory; 6.4. Spin glasses in 6 dimensions; 6.5. Percolation in 6 dimensions; 6.6. Lee-yang problem in 6 dimensions and lattice animals in 8 dimensions; 6.7. Ising model in 2 dimensions; 6.8. Quenched-disordered Ising model in 2 dimensions 6.9. Ashkin-Teller model in 2 dimensions6.10. Spin models on networks; 7. Conclusions; Acknowledgements; Appendix A. Homogeneous Functions; References; 2. Phase Behaviour and Criticality in Primitive Models of Ionic Fluids O.V. Patsahan and I.M. Mryglod; 1. Introduction; 2. Historical Background; 3. Location of the Gas-Liquid Critical Point of the RPM; 3.1. Computer simulations; 3.2. Generalized Debye-Huckel theory; 3.3. Associating mean-spherical approximation (AMSA); 4. The KSSHE Theory; 5. The Method of Collective Variables. Links to Other Theories 5.1. A two-component charge-asymmetric PM6. Gas-Liquid Separation in Asymmetric PMs: The Method of CVs; 6.1. Charge-asymmetric PMs; 6.2. Size and charge asymmetric PMs; 6.3. Monovalent PMs with size asymmetry; 6.4. Size- and charge-asymmetric PMs; 7. Critical Behaviour of the "Coulombic Systems": Theoretical Studies; 7.1. The effective Hamiltonian of the RPM in the vicinity of the gas-liquid critical point; 7.2. Crossover behaviour in fluids with Coulomb interactions; 7.3. Charge-charge correlations in the models of ionic fluids; 8. Conclusions; Acknowledgement; References 3. Monte Carlo Simulations in Statistical Physics- From Basic Principles to Advanced Applications W. Janke1. Introduction; 2. The Monte Carlo Method; 2.1. Random sampling; 2.2. Importance sampling; 2.3. Local update algorithms; 2.3.1. Metropolis algorithm; 2.3.2. Glauber algorithm; 2.3.3. Heat-bath algorithm; 2.4. Temporal correlations; 2.5. Cluster algorithms; 2.5.1. Swendsen-Wang multiple-cluster algorithm; 2.5.2. Wolff single-cluster algorithm; 2.5.3. Embedded cluster algorithm; 2.5.4. Performance of cluster algorithms; 2.5.5. Improved estimators This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, wh Critical phenomena (Physics) SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) |
| title | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_auth | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_exact_search | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_full | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_fullStr | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_full_unstemmed | Order, Disorder and Criticality Advanced Problems of Phase Transition Theory - Volume 3 |
| title_short | Order, Disorder and Criticality |
| title_sort | order disorder and criticality advanced problems of phase transition theory volume 3 |
| title_sub | Advanced Problems of Phase Transition Theory - Volume 3 |
| topic | Critical phenomena (Physics) SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) |
| topic_facet | Critical phenomena (Physics) SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General SCIENCE / Physics / Condensed Matter Phase transformations (Statistical physics) |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=533876 |
| work_keys_str_mv | AT holovatchyurij orderdisorderandcriticalityadvancedproblemsofphasetransitiontheoryvolume3 |