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Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, 2007 |
| Descrizione fisica | 1 online resource (308 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Collana | Advanced Problems of Phase Transition Theory |
| Soggetto topico |
Phase transformations (Statistical physics)
Statistical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91859-8
9786611918590 981-270-876-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Introduction to the Non-Perturbative Renormalization Group Bertrand Delamotte; Contents; 1. Wilson's Renormalization Group; 1.1. Introduction; 1.2. The Perturbative Method in Field Theory; 1.3. Wilson's Approach to the Renormalization Group; 2. Renormalization Group Transformations; 2.1. Blocks of Spins; 2.2. Two Remarks Concerning RG Transformations; 2.3. Linear RG Transformations and Correlation Length; 3. Properties of the RG Flow: Fixed Points, Critical Surface, Relevant Directions; 3.1. Scaling Relations - Linearization of the Flow Around the Fixed Point
3.2. The Correlation Length and the Spin-Spin Correlation Function 3.3. Scaling of the Correlation Function in the Presence of a Magnetic Field - Relation Among Exponents; 3.4. The Example of the Two-Dimensional Ising Model on the Triangular Lattice; 4. The Non-Perturbative Renormalization Group; 4.1. Introduction; 4.1.1. The Wilson-Polchinski Approach; 4.2. The Effective Average Action Method; 4.2.1. Block-Spins, Coarse Graining, Legendre Transform, etc.; 4.3. An Integral Representation of Γk and the Limit k; 5. The Exact RG Equation and Its Properties 9.2. The RG Equation for the Dimensionless Potential ̃U k9.3. The Limits d 4, d 2 and N; 10. Conclusion; Acknowledgements; Appendix A. Definitions, conventions; Appendix B. The Exact RG equations; Appendix B.1. RG equation for Wk[B]; Appendix B.2. RG equation for Γk[M]; Appendix B.3. RG equation for the elective potential; References; Introduction to Critical Dynamics Reinhard Folk; Contents; 1. Introduction; 2. Experimental Evidence; 2.1. Fluids; 2.2. Light Scattering; 2.3. Ferromagnets; 2.4. Super fluid 4He; 3. Van Hove Theory; 4. Dynamical Scaling 4.1. Scaling Form of the Dynamic Susceptibility 4.2. Finding the Dynamical Exponent z by Scaling Relations; 4.2.1. Ferromagnet; 4.2.2. Fluids; 4.2.3. Superfluid Transition; 5. From Dynamic Equations to a Lagrangian; 5.1. Static Functional; 5.2. Dynamic Equations; 5.3. Dynamic Functional; 5.4. Renormalization; 6. Renormalization and the Dynamical Exponent; 6.1. Structure and Renormalization; 6.2. Calculating the Dynamical Exponent; 6.2.1. Models without Mode Coupling Terms; 6.2.2. Models with Mode Coupling Terms; 7. Comparison with Experiment; 7.1. General Procedure 7.2. Fluids: The Linewidth in Light Scattering |
| Record Nr. | UNINA-9910458637003321 |
| Hackensack, NJ ; ; London, : World Scientific, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, 2007 |
| Descrizione fisica | 1 online resource (308 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Collana | Advanced Problems of Phase Transition Theory |
| Soggetto topico |
Phase transformations (Statistical physics)
Statistical physics |
| ISBN |
1-281-91859-8
9786611918590 981-270-876-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Introduction to the Non-Perturbative Renormalization Group Bertrand Delamotte; Contents; 1. Wilson's Renormalization Group; 1.1. Introduction; 1.2. The Perturbative Method in Field Theory; 1.3. Wilson's Approach to the Renormalization Group; 2. Renormalization Group Transformations; 2.1. Blocks of Spins; 2.2. Two Remarks Concerning RG Transformations; 2.3. Linear RG Transformations and Correlation Length; 3. Properties of the RG Flow: Fixed Points, Critical Surface, Relevant Directions; 3.1. Scaling Relations - Linearization of the Flow Around the Fixed Point
3.2. The Correlation Length and the Spin-Spin Correlation Function 3.3. Scaling of the Correlation Function in the Presence of a Magnetic Field - Relation Among Exponents; 3.4. The Example of the Two-Dimensional Ising Model on the Triangular Lattice; 4. The Non-Perturbative Renormalization Group; 4.1. Introduction; 4.1.1. The Wilson-Polchinski Approach; 4.2. The Effective Average Action Method; 4.2.1. Block-Spins, Coarse Graining, Legendre Transform, etc.; 4.3. An Integral Representation of Γk and the Limit k; 5. The Exact RG Equation and Its Properties 9.2. The RG Equation for the Dimensionless Potential ̃U k9.3. The Limits d 4, d 2 and N; 10. Conclusion; Acknowledgements; Appendix A. Definitions, conventions; Appendix B. The Exact RG equations; Appendix B.1. RG equation for Wk[B]; Appendix B.2. RG equation for Γk[M]; Appendix B.3. RG equation for the elective potential; References; Introduction to Critical Dynamics Reinhard Folk; Contents; 1. Introduction; 2. Experimental Evidence; 2.1. Fluids; 2.2. Light Scattering; 2.3. Ferromagnets; 2.4. Super fluid 4He; 3. Van Hove Theory; 4. Dynamical Scaling 4.1. Scaling Form of the Dynamic Susceptibility 4.2. Finding the Dynamical Exponent z by Scaling Relations; 4.2.1. Ferromagnet; 4.2.2. Fluids; 4.2.3. Superfluid Transition; 5. From Dynamic Equations to a Lagrangian; 5.1. Static Functional; 5.2. Dynamic Equations; 5.3. Dynamic Functional; 5.4. Renormalization; 6. Renormalization and the Dynamical Exponent; 6.1. Structure and Renormalization; 6.2. Calculating the Dynamical Exponent; 6.2.1. Models without Mode Coupling Terms; 6.2.2. Models with Mode Coupling Terms; 7. Comparison with Experiment; 7.1. General Procedure 7.2. Fluids: The Linewidth in Light Scattering |
| Record Nr. | UNINA-9910784750603321 |
| Hackensack, NJ ; ; London, : World Scientific, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] . Volume 2 : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, 2007 |
| Descrizione fisica | 1 online resource (308 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Collana | Advanced Problems of Phase Transition Theory |
| Soggetto topico |
Phase transformations (Statistical physics)
Statistical physics |
| ISBN |
1-281-91859-8
9786611918590 981-270-876-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Introduction to the Non-Perturbative Renormalization Group Bertrand Delamotte; Contents; 1. Wilson's Renormalization Group; 1.1. Introduction; 1.2. The Perturbative Method in Field Theory; 1.3. Wilson's Approach to the Renormalization Group; 2. Renormalization Group Transformations; 2.1. Blocks of Spins; 2.2. Two Remarks Concerning RG Transformations; 2.3. Linear RG Transformations and Correlation Length; 3. Properties of the RG Flow: Fixed Points, Critical Surface, Relevant Directions; 3.1. Scaling Relations - Linearization of the Flow Around the Fixed Point
3.2. The Correlation Length and the Spin-Spin Correlation Function 3.3. Scaling of the Correlation Function in the Presence of a Magnetic Field - Relation Among Exponents; 3.4. The Example of the Two-Dimensional Ising Model on the Triangular Lattice; 4. The Non-Perturbative Renormalization Group; 4.1. Introduction; 4.1.1. The Wilson-Polchinski Approach; 4.2. The Effective Average Action Method; 4.2.1. Block-Spins, Coarse Graining, Legendre Transform, etc.; 4.3. An Integral Representation of Γk and the Limit k; 5. The Exact RG Equation and Its Properties 9.2. The RG Equation for the Dimensionless Potential ̃U k9.3. The Limits d 4, d 2 and N; 10. Conclusion; Acknowledgements; Appendix A. Definitions, conventions; Appendix B. The Exact RG equations; Appendix B.1. RG equation for Wk[B]; Appendix B.2. RG equation for Γk[M]; Appendix B.3. RG equation for the elective potential; References; Introduction to Critical Dynamics Reinhard Folk; Contents; 1. Introduction; 2. Experimental Evidence; 2.1. Fluids; 2.2. Light Scattering; 2.3. Ferromagnets; 2.4. Super fluid 4He; 3. Van Hove Theory; 4. Dynamical Scaling 4.1. Scaling Form of the Dynamic Susceptibility 4.2. Finding the Dynamical Exponent z by Scaling Relations; 4.2.1. Ferromagnet; 4.2.2. Fluids; 4.2.3. Superfluid Transition; 5. From Dynamic Equations to a Lagrangian; 5.1. Static Functional; 5.2. Dynamic Equations; 5.3. Dynamic Functional; 5.4. Renormalization; 6. Renormalization and the Dynamical Exponent; 6.1. Structure and Renormalization; 6.2. Calculating the Dynamical Exponent; 6.2.1. Models without Mode Coupling Terms; 6.2.2. Models with Mode Coupling Terms; 7. Comparison with Experiment; 7.1. General Procedure 7.2. Fluids: The Linewidth in Light Scattering |
| Record Nr. | UNINA-9910824292303321 |
| Hackensack, NJ ; ; London, : World Scientific, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (302 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Soggetto topico |
Phase transformations (Statistical physics)
Critical phenomena (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87700-X
9786611877002 981-256-544-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; CONTENTS; CHAPTER 1 MATHEMATICAL THEORY OF THE ISING MODEL AND ITS GENERALIZATIONS: AN INTRODUCTION Yuri Kozitsky; CHAPTER 2 RELAXATION IN QUANTUM SPIN CHAINS: FREE FERMIONIC MODELS Dragi Karevski; CHAPTER 3 QUANTUM PHASE TRANSITIONS IN ALTERNATING TRANSVERSE ISING CHAINS Oleg Derzhko; CHAPTER 4 PHASE TRANSITIONS IN TWO-DIMENSIONAL RANDOM POTTS MODELS Bertrand Berche and Christophe Chatelain; CHAPTER 5 SCALING OF MIKTOARM STAR POLYMERS Christian von Ferber; CHAPTER 6 FIELD THEORETIC APPROACHES TO THE SUPERCONDUCTING PHASE TRANSITION Flavio S. Nogueira and Hagen Kleinert; Index |
| Record Nr. | UNINA-9910449883103321 |
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (302 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Soggetto topico |
Phase transformations (Statistical physics)
Critical phenomena (Physics) |
| ISBN |
1-281-87700-X
9786611877002 981-256-544-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; CONTENTS; CHAPTER 1 MATHEMATICAL THEORY OF THE ISING MODEL AND ITS GENERALIZATIONS: AN INTRODUCTION Yuri Kozitsky; CHAPTER 2 RELAXATION IN QUANTUM SPIN CHAINS: FREE FERMIONIC MODELS Dragi Karevski; CHAPTER 3 QUANTUM PHASE TRANSITIONS IN ALTERNATING TRANSVERSE ISING CHAINS Oleg Derzhko; CHAPTER 4 PHASE TRANSITIONS IN TWO-DIMENSIONAL RANDOM POTTS MODELS Bertrand Berche and Christophe Chatelain; CHAPTER 5 SCALING OF MIKTOARM STAR POLYMERS Christian von Ferber; CHAPTER 6 FIELD THEORETIC APPROACHES TO THE SUPERCONDUCTING PHASE TRANSITION Flavio S. Nogueira and Hagen Kleinert; Index |
| Record Nr. | UNINA-9910783221903321 |
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch
| Order, disorder and criticality [[electronic resource] ] : advanced problems of phase transition theory / / editor, Yurij Holovatch |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (302 p.) |
| Disciplina | 530.4/74 |
| Altri autori (Persone) | HolovatchYurij |
| Soggetto topico |
Phase transformations (Statistical physics)
Critical phenomena (Physics) |
| ISBN |
1-281-87700-X
9786611877002 981-256-544-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; CONTENTS; CHAPTER 1 MATHEMATICAL THEORY OF THE ISING MODEL AND ITS GENERALIZATIONS: AN INTRODUCTION Yuri Kozitsky; CHAPTER 2 RELAXATION IN QUANTUM SPIN CHAINS: FREE FERMIONIC MODELS Dragi Karevski; CHAPTER 3 QUANTUM PHASE TRANSITIONS IN ALTERNATING TRANSVERSE ISING CHAINS Oleg Derzhko; CHAPTER 4 PHASE TRANSITIONS IN TWO-DIMENSIONAL RANDOM POTTS MODELS Bertrand Berche and Christophe Chatelain; CHAPTER 5 SCALING OF MIKTOARM STAR POLYMERS Christian von Ferber; CHAPTER 6 FIELD THEORETIC APPROACHES TO THE SUPERCONDUCTING PHASE TRANSITION Flavio S. Nogueira and Hagen Kleinert; Index |
| Record Nr. | UNINA-9910819729703321 |
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||