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40 years of Berezinskii-Kosterlitz-Thouless theory / / editor, Jorge V. Jose, Indiana University, USA
40 years of Berezinskii-Kosterlitz-Thouless theory / / editor, Jorge V. Jose, Indiana University, USA
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xii, 351 pages) : illustrations
Disciplina 530.41
Collana Gale eBooks
Soggetto topico Condensed matter
Solid state physics
Nuclear physics
Statistical physics
ISBN 981-4417-64-5
Classificazione 33.26
33.74
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Introduction and Overview J. V. Jose; References; 1. Early Work on Defect Driven Phase Transitions J. M. Kosterlitz and D. J. Thouless; 1.1. Introduction; 1.2. One-Dimensional Ising Model; 1.3. Vortex Driven Transitions in Superfluid Films; 1.4. Other Systems with Defect-Mediated Transitions; 1.4.1. Two-dimensional magnetic systems; 1.4.2. Isotropic Heisenberg model; 1.4.3. Two-dimensional Coulomb plasma; 1.4.4. Two-dimensional crystals; 1.4.5. Thin film superconductors; 1.5. Scaling Theory; 1.6. Scaling Theory in Analogous Systems
1.6.1. Duality and the roughening of crystal facets1.6.2. Substrate effects; 1.6.3. Melting of a 2D crystal; 1.6.4. Substrate effects on 2D melting; 1.6.5. Scaling in superconducting films; 1.7. Experiments and Simulation; 1.7.1. Measurements on superfluid films; 1.7.2. Experimental measurements on 2D melting; 1.7.3. Simulations of 2D melting; References; 2. Duality, Gauge Symmetries, Renormalization Groups and the BKT Transition J. V. Jose; 2.1. Introduction; 2.2. Duality Transformations in the 2D XY Model; 2.3. Migdal Kadanoff RG Approximation of the Two-Dimensional XY Model
2.4. Correlation Function Calculations and Renormalization Group Equations2.5. Symmetric Breaking Fields, Duality and RG Equations; 2.6. An Early Experimental Confirmation of the BKT Theory; 2.3. Conclusions; Acknowledgments; References; 3. Berezinskii-Kosterlitz-Thouless Transition through the Eyes of Duality G. Ortiz, E. Cobanera and Z. Nussinov; 3.1. Introduction; 3.2. The XY Model: A Paradigm of BKT Phenomenology; 3.2.1. A transfer operator for the XY model; 3.2.2. Hamiltonian form of the XY model; 3.2.3. Duality of the XY model without the Villain approximation
3.3. The p-Clock Model: A Close Relative of XY3.3.1. A transfer matrix for the p-clock model; 3.3.2. Hamiltonian form of the p-clock model; 3.3.3. Dualities of the p-clock model; 3.3.4. Self-dual classical p-clock model; 3.3.5. Exact and emergent symmetries of the p-clock model; 3.3.5.1. Non-Abelian, discrete symmetries; 3.3.5.2. Emergent U(1) symmetry; 3.4. Phase Diagram: From the p-Clock to the XY Model; Appendix A: Exponential of Shift Operators; Appendix B: Duality of the XY Model to q-Deformed Bosons; Appendix C: The Villain and Its Dual Solid-On-Solid Models
Appendix D: The p-Clock Model for p = 2, 3, and 4Appendix E: Peierls Argument for the p-Clock Model; References; 4. The Berezinskii-Kosterlitz-Thouless Transition in Superconductors A. M. Goldman; 4.1. Introduction; 4.2. Phenomenological Theory - Mostly Films; 4.3. Experimental Evidence - Films; 4.4. Phenomenological Theory - Arrays; 4.5. Experiments - Arrays; 4.6. Comments on Renormalization Effects; 4.7. Summary; Acknowledgments; References
5. Berezinskii-Kosterlitz-Thouless Transition within the Sine-Gordon Approach: The Role of the Vortex-Core Energy L. Benfatto, C. Castellani and T. Giamarchi
Record Nr. UNINA-9910779991003321
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
40 years of Berezinskii-Kosterlitz-Thouless theory / / editor, Jorge V. Jose, Indiana University, USA
40 years of Berezinskii-Kosterlitz-Thouless theory / / editor, Jorge V. Jose, Indiana University, USA
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xii, 351 pages) : illustrations
Disciplina 530.41
Collana Gale eBooks
Soggetto topico Condensed matter
Solid state physics
Nuclear physics
Statistical physics
ISBN 981-4417-64-5
Classificazione 33.26
33.74
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Introduction and Overview J. V. Jose; References; 1. Early Work on Defect Driven Phase Transitions J. M. Kosterlitz and D. J. Thouless; 1.1. Introduction; 1.2. One-Dimensional Ising Model; 1.3. Vortex Driven Transitions in Superfluid Films; 1.4. Other Systems with Defect-Mediated Transitions; 1.4.1. Two-dimensional magnetic systems; 1.4.2. Isotropic Heisenberg model; 1.4.3. Two-dimensional Coulomb plasma; 1.4.4. Two-dimensional crystals; 1.4.5. Thin film superconductors; 1.5. Scaling Theory; 1.6. Scaling Theory in Analogous Systems
1.6.1. Duality and the roughening of crystal facets1.6.2. Substrate effects; 1.6.3. Melting of a 2D crystal; 1.6.4. Substrate effects on 2D melting; 1.6.5. Scaling in superconducting films; 1.7. Experiments and Simulation; 1.7.1. Measurements on superfluid films; 1.7.2. Experimental measurements on 2D melting; 1.7.3. Simulations of 2D melting; References; 2. Duality, Gauge Symmetries, Renormalization Groups and the BKT Transition J. V. Jose; 2.1. Introduction; 2.2. Duality Transformations in the 2D XY Model; 2.3. Migdal Kadanoff RG Approximation of the Two-Dimensional XY Model
2.4. Correlation Function Calculations and Renormalization Group Equations2.5. Symmetric Breaking Fields, Duality and RG Equations; 2.6. An Early Experimental Confirmation of the BKT Theory; 2.3. Conclusions; Acknowledgments; References; 3. Berezinskii-Kosterlitz-Thouless Transition through the Eyes of Duality G. Ortiz, E. Cobanera and Z. Nussinov; 3.1. Introduction; 3.2. The XY Model: A Paradigm of BKT Phenomenology; 3.2.1. A transfer operator for the XY model; 3.2.2. Hamiltonian form of the XY model; 3.2.3. Duality of the XY model without the Villain approximation
3.3. The p-Clock Model: A Close Relative of XY3.3.1. A transfer matrix for the p-clock model; 3.3.2. Hamiltonian form of the p-clock model; 3.3.3. Dualities of the p-clock model; 3.3.4. Self-dual classical p-clock model; 3.3.5. Exact and emergent symmetries of the p-clock model; 3.3.5.1. Non-Abelian, discrete symmetries; 3.3.5.2. Emergent U(1) symmetry; 3.4. Phase Diagram: From the p-Clock to the XY Model; Appendix A: Exponential of Shift Operators; Appendix B: Duality of the XY Model to q-Deformed Bosons; Appendix C: The Villain and Its Dual Solid-On-Solid Models
Appendix D: The p-Clock Model for p = 2, 3, and 4Appendix E: Peierls Argument for the p-Clock Model; References; 4. The Berezinskii-Kosterlitz-Thouless Transition in Superconductors A. M. Goldman; 4.1. Introduction; 4.2. Phenomenological Theory - Mostly Films; 4.3. Experimental Evidence - Films; 4.4. Phenomenological Theory - Arrays; 4.5. Experiments - Arrays; 4.6. Comments on Renormalization Effects; 4.7. Summary; Acknowledgments; References
5. Berezinskii-Kosterlitz-Thouless Transition within the Sine-Gordon Approach: The Role of the Vortex-Core Energy L. Benfatto, C. Castellani and T. Giamarchi
Record Nr. UNINA-9910814426403321
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Statistical mechanics of membranes and surfaces [[electronic resource] /] / [David R. Nelson ... [et al.]] ; edited by D. Nelson, T. Piran, S. Weingerg
Statistical mechanics of membranes and surfaces [[electronic resource] /] / [David R. Nelson ... [et al.]] ; edited by D. Nelson, T. Piran, S. Weingerg
Autore Nelson David R. <1951->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; River Edge, N.J., : World Scientific Pub., c2004
Descrizione fisica 1 online resource (443 p.)
Disciplina 530.4/17
530.427
530/.138
Altri autori (Persone) NelsonDavid R. <1951->
PiranTsvi <1949->
WeingergS
Soggetto topico Surfaces (Physics) - Statistical methods
Membranes (Technology) - Statistical methods
Interfaces (Physical sciences) - Statistical methods
Statistical mechanics
ISBN 1-281-87705-0
9786611877057
981-256-551-5
Classificazione 33.26
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the First Edition; Preface to the Second Edition; CONTENTS; Chapter 1 The Statistical Mechanics of Membranes and Interfaces David R. Nelson; Chapter 2 Interfaces: Fluctuations, Interactions and Related Transitions Michael E. Fisher; Chapter 3 Equilibrium Statistical Mechanics of Fluctuating Films and Membranes Stanislas Leibler; Chapter 4 The Physics of Microemulsions and Amphiphilic Monolayers David Andelman; Chapter 5 Properties of Tethered Surfaces Yacov Kantor; Chapter 6 Theory of the Crumpling Transition David R. Nelson
Chapter 7 Geometry and Field Theory of Random Surfaces and Membranes Fran ̧cois DavidChapter 8 Statistical Mechanics of Self-Avoiding Crumpled Manifolds - Part I Bertrand Duplantier; Chapter 9 Statistical Mechanics of Self-Avoiding Crumpled Manifolds - Part II Bertrand Duplantier; Chapter 10 Anisotropic and Heterogeneous Polymerized Membranes Leo Radzihovsky; Chapter 11 Fixed-Connectivity Membranes Mark J. Bowick; Chapter 12 Triangulated-Surface Models of Fluctuating Membranes G. Gompper and D.M. Kroll
Record Nr. UNINA-9910783223303321
Nelson David R. <1951->  
Singapore ; ; River Edge, N.J., : World Scientific Pub., c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Statistical mechanics of membranes and surfaces / / [David R. Nelson ... [et al.]] ; edited by D. Nelson, T. Piran, S. Weingerg
Statistical mechanics of membranes and surfaces / / [David R. Nelson ... [et al.]] ; edited by D. Nelson, T. Piran, S. Weingerg
Autore Nelson David R. <1951->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; River Edge, N.J., : World Scientific Pub., c2004
Descrizione fisica 1 online resource (443 p.)
Disciplina 530.4/17
530.427
530/.138
Altri autori (Persone) NelsonDavid R. <1951->
PiranTsvi <1949->
WeingergS
Soggetto topico Surfaces (Physics) - Statistical methods
Membranes (Technology) - Statistical methods
Interfaces (Physical sciences) - Statistical methods
Statistical mechanics
ISBN 1-281-87705-0
9786611877057
981-256-551-5
Classificazione 33.26
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the First Edition; Preface to the Second Edition; CONTENTS; Chapter 1 The Statistical Mechanics of Membranes and Interfaces David R. Nelson; Chapter 2 Interfaces: Fluctuations, Interactions and Related Transitions Michael E. Fisher; Chapter 3 Equilibrium Statistical Mechanics of Fluctuating Films and Membranes Stanislas Leibler; Chapter 4 The Physics of Microemulsions and Amphiphilic Monolayers David Andelman; Chapter 5 Properties of Tethered Surfaces Yacov Kantor; Chapter 6 Theory of the Crumpling Transition David R. Nelson
Chapter 7 Geometry and Field Theory of Random Surfaces and Membranes Fran ̧cois DavidChapter 8 Statistical Mechanics of Self-Avoiding Crumpled Manifolds - Part I Bertrand Duplantier; Chapter 9 Statistical Mechanics of Self-Avoiding Crumpled Manifolds - Part II Bertrand Duplantier; Chapter 10 Anisotropic and Heterogeneous Polymerized Membranes Leo Radzihovsky; Chapter 11 Fixed-Connectivity Membranes Mark J. Bowick; Chapter 12 Triangulated-Surface Models of Fluctuating Membranes G. Gompper and D.M. Kroll
Record Nr. UNINA-9910813963003321
Nelson David R. <1951->  
Singapore ; ; River Edge, N.J., : World Scientific Pub., c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Stochastic processes in physics and chemistry [[electronic resource] /] / N.G. van Kampen
Stochastic processes in physics and chemistry [[electronic resource] /] / N.G. van Kampen
Autore Kampen N. G. van
Edizione [3rd ed.]
Pubbl/distr/stampa Amsterdam ; ; London, : Elsevier, 2007
Descrizione fisica 1 online resource (481 p.)
Disciplina 519.202453
Collana North-Holland personal library
Soggetto topico Stochastic processes
Statistical physics
Chemistry, Physical and theoretical - Statistical methods
ISBN 1-281-00388-3
9786611003883
0-08-047536-1
Classificazione 33.26
35.05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Stochastic Processes in Physics and Chemistry; Copyright Page; PREFACE TO THE FIRST EDITION; PREFACE TO THE SECOND EDITION; ABBREVIATED REFERENCES; PREFACE TO THE THIRD EDITION; TABLE OF CONTENTS; Chapter I. STOCHASTIC VARIABLES; 1. Definition; 2. Averages; 3. Multivariate distributions; 4. Addition of stochastic variables; 5. Transformation of variables; 6. The Gaussian distribution; 7. The central limit theorem; Chapter II. RANDOM EVENTS; 1. Definition; 2. The Poisson distribution; 3. Alternative description of random events; 4. The inverse formula; 5. The correlation functions
6. Waiting times7. Factorial correlation functions; Chapter III. STOCHASTIC PROCESSES; 1. Definition; 2. Stochastic processes in physics; 3. Fourier transformation of stationary processes; 4. The hierarchy of distribution functions; 5. The vibrating string and random fields; 6. Branching processes; Chapter IV. MARKOV PROCESSES; 1. The Markov property; 2. The Chapman-Kolmogorov equation; 3. Stationary Markov processes; 4. The extraction of a subensemble; 5. Markov chains; 6. The decay process; Chapter V. THE MASTER EQUATION; 1. Derivation; 2. The class of W-matrices; 3. The long-time limit
4. Closed, isolated, physical systems5. The increase of entropy; 6. Proof of detailed balance; 7. Expansion in eigenfunctions; 8. The macroscopic equation; 9. The adjoint equation; 10. Other equations related to the master equation; Chapter VI. ONE-STEP PROCESSES; 1. Definition; the Poisson process; 2. Random walk with continuous time; 3. General properties of one-step processes; 4. Examples of linear one-step processes; 5. Natural boundaries; 6. Solution of linear one-step processes with natural boundaries; 7. Artificial boundaries; 8. Artificial boundaries and normal modes
9. Nonlinear one-step processesChapter VII. CHEMICAL REACTIONS; 1. Kinematics of chemical reactions; 2. Dynamics of chemical reactions; 3. The stationary solution; 4. Open systems; 5. Unimolecular reactions; 6. Collective systems; 7. Composite Markov processes; Chapter VIII. THE FOKKER-PLANCK EQUATION; 1. Introduction; 2. Derivation of the Fokker-Planck equation; 3. Brownian motion; 4. The Rayleigh particle; 5. Application to one-step processes; 6. The multivariate Fokker-PIanck equation; 7. Kramers' equation; Chapter IX. THE LANGEVIN APPROACH; 1. Langevin treatment of Brownian motion
2. Applications3. Relation to Fokker-Planck equation; 4. The Langevin approach; 5. Discussion of the Itô-Stratonovich dilemma; 6. Non-Gaussian white noise; 7. Colored noise; Chapter X. THE EXPANSION OF THE MASTER EQUATION; 1. Introduction to the expansion; 2. General formulation of the expansion method; 3. The emergence of the macroscopic law; 4. The linear noise approximation; 5. Expansion of a multivariate master equation; 6. Higher orders; Chapter XI. THE DIFFUSION TYPE; 1. Master equations of diffusion type; 2. Diffusion in an external field; 3. Diffusion in an inhomogeneous medium
4. Muitivariate diffusion equation
Record Nr. UNINA-9910784594003321
Kampen N. G. van  
Amsterdam ; ; London, : Elsevier, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Stochastic processes in physics and chemistry / / N.G. van Kampen
Stochastic processes in physics and chemistry / / N.G. van Kampen
Autore Kampen N. G. van
Edizione [3rd ed.]
Pubbl/distr/stampa Amsterdam ; ; London, : Elsevier, 2007
Descrizione fisica 1 online resource (481 p.)
Disciplina 519.202453
Collana North-Holland personal library
Soggetto topico Stochastic processes
Statistical physics
Chemistry, Physical and theoretical - Statistical methods
ISBN 1-281-00388-3
9786611003883
0-08-047536-1
Classificazione 33.26
35.05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Stochastic Processes in Physics and Chemistry; Copyright Page; PREFACE TO THE FIRST EDITION; PREFACE TO THE SECOND EDITION; ABBREVIATED REFERENCES; PREFACE TO THE THIRD EDITION; TABLE OF CONTENTS; Chapter I. STOCHASTIC VARIABLES; 1. Definition; 2. Averages; 3. Multivariate distributions; 4. Addition of stochastic variables; 5. Transformation of variables; 6. The Gaussian distribution; 7. The central limit theorem; Chapter II. RANDOM EVENTS; 1. Definition; 2. The Poisson distribution; 3. Alternative description of random events; 4. The inverse formula; 5. The correlation functions
6. Waiting times7. Factorial correlation functions; Chapter III. STOCHASTIC PROCESSES; 1. Definition; 2. Stochastic processes in physics; 3. Fourier transformation of stationary processes; 4. The hierarchy of distribution functions; 5. The vibrating string and random fields; 6. Branching processes; Chapter IV. MARKOV PROCESSES; 1. The Markov property; 2. The Chapman-Kolmogorov equation; 3. Stationary Markov processes; 4. The extraction of a subensemble; 5. Markov chains; 6. The decay process; Chapter V. THE MASTER EQUATION; 1. Derivation; 2. The class of W-matrices; 3. The long-time limit
4. Closed, isolated, physical systems5. The increase of entropy; 6. Proof of detailed balance; 7. Expansion in eigenfunctions; 8. The macroscopic equation; 9. The adjoint equation; 10. Other equations related to the master equation; Chapter VI. ONE-STEP PROCESSES; 1. Definition; the Poisson process; 2. Random walk with continuous time; 3. General properties of one-step processes; 4. Examples of linear one-step processes; 5. Natural boundaries; 6. Solution of linear one-step processes with natural boundaries; 7. Artificial boundaries; 8. Artificial boundaries and normal modes
9. Nonlinear one-step processesChapter VII. CHEMICAL REACTIONS; 1. Kinematics of chemical reactions; 2. Dynamics of chemical reactions; 3. The stationary solution; 4. Open systems; 5. Unimolecular reactions; 6. Collective systems; 7. Composite Markov processes; Chapter VIII. THE FOKKER-PLANCK EQUATION; 1. Introduction; 2. Derivation of the Fokker-Planck equation; 3. Brownian motion; 4. The Rayleigh particle; 5. Application to one-step processes; 6. The multivariate Fokker-PIanck equation; 7. Kramers' equation; Chapter IX. THE LANGEVIN APPROACH; 1. Langevin treatment of Brownian motion
2. Applications3. Relation to Fokker-Planck equation; 4. The Langevin approach; 5. Discussion of the Itô-Stratonovich dilemma; 6. Non-Gaussian white noise; 7. Colored noise; Chapter X. THE EXPANSION OF THE MASTER EQUATION; 1. Introduction to the expansion; 2. General formulation of the expansion method; 3. The emergence of the macroscopic law; 4. The linear noise approximation; 5. Expansion of a multivariate master equation; 6. Higher orders; Chapter XI. THE DIFFUSION TYPE; 1. Master equations of diffusion type; 2. Diffusion in an external field; 3. Diffusion in an inhomogeneous medium
4. Muitivariate diffusion equation
Record Nr. UNINA-9910811350603321
Kampen N. G. van  
Amsterdam ; ; London, : Elsevier, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui