Order, disorder and criticality : advanced problems of phase transition theory

著者

• Holovatch, Yurij

書誌事項

Order, disorder and criticality : advanced problems of phase transition theory

edited by Yurij Holovatch

World Scientific, c2004-

• [v. 1]
• v. 2
• v. 3
• v. 4
• v. 5

内容説明・目次

巻冊次

[v. 1] ISBN 9789812385833

内容説明

This book reviews some of the classic aspects in the theory of phase transitions and critical phenomena, which has a long history. Recently, these aspects are attracting much attention due to essential new contributions. The topics presented in this book include: mathematical theory of the Ising model; equilibrium and non-equilibrium criticality of one-dimensional quantum spin chains; influence of structural disorder on the critical behaviour of the Potts model; criticality, fractality and multifractality of linked polymers; field-theoretical approaches in the superconducting phase transitions.The book is based on the review lectures that were given in Lviv (Ukraine) in March 2002 at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject.

目次

• Some Facts About the Mathematical Theory of the Ising Model and Its Generalizations (Y Kozitsky)
• Quantum Phase Transitions in Alternating Transverse Ising Chains (O Derzhko)
• Relaxation in Quantum Spin Chains (D Karevski)
• The Random Potts Model (B Berche & C Chatelain)
• Two-Dimensional Polymers, the Edwards Model and O (n=0) Field Theory
• Field Theoretical Approaches in the Superconducting Phase Transition (F Nogueira)
• Phase Transitions in Strongly Correlated Electron Systems. Exactly Solvable Models (I Stasyuk).

巻冊次

v. 2 ISBN 9789812707673

内容説明

This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its 'golden age' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.

目次

• Introduction to the Non-Perturbative Renormalization Group (B Delamotte)
• Introduction to Critical Dynamics (R Folk)
• Spacetime Approach to Phase Transitions (W Janke & A M J Schakel)
• Representations of Self-Organized Criticality (A Olemskoi & D Kharchenko)
• Phase Transitions in the Pseudospin-Electron Model (I Stasyuk).

巻冊次

v. 5 ISBN 9789813232099

内容説明

This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' - a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject.

巻冊次

v. 3 ISBN 9789814417884

内容説明

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, which experienced its 'golden age' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.This volume presents a broad spectrum of problems connected with criticality. It covers its theoretical backgrounds, analytical approaches and numerical simulations to describe criticality in specific systems (ionic fluids, diluted magnets, polymers), as well as phase transitions on complex networks and in the minority game model. As the first two volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" - a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.

目次

• Universal Scaling Relations for Logarithmic-Correction Exponents (Ralph Kenna)
• Phase Behaviour and Criticality in Primitive Models of Ionic Fluids (Oksana Patsahan and Ihor Mrygold)
• Monte Carlo Simulations in Statistical Physics (Wolfhard Janke)
• Ising Model on Connected Complex Networks (Krzysztof Suchecki and Janusz A Holyst)
• Minority Game: An "Ising Model" of Econophysics (Frantisek Slanina).

巻冊次

v. 4 ISBN 9789814632676

内容説明

This book is the fourth in the series of review papers on advanced problems of phase transitions and critical phenomena, the first three volumes appeared in 2004, 2007, and 2012. It presents reviews in those aspects of criticality and related subjects that have currently attracted much attention due to new and essential contributions. The contents are divided into five chapters, and they include: anomalous diffusion, kinetics of pattern formation, scaling, renormalization group approaches in soft matter and socio-physics, Monte Carlo simulation of critical Casimir forces.As with the first three volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" - a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in these fields with university students and those who are interested in the subject.

目次

• Ergodicity Violation and Ageing in Anomalous Diffusion (Ralf Metzler)
• Microscopic Approach to the Kinetics of Pattern Formation (Helene Zapolsky)
• Scaling above the Upper Critical (Bertrand Berche & Ralph Kenna)
• Simplexity of Geometrically Frustrated Ising Antiferromagnets (Taras Yavorskii)
• Monte Carlo Simulation of Critical Casimir Forces (Oleg A Vasilyev)
• From Real Space Renormalization Group to the Making of Public Opinion: An Approach from Sociophysics (Serge Galam)

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA68000301
• ISBN:
  • 9812385835
  • 9789812707673
  • 9789814417884
  • 9789814632676
  • 9789813232099
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: v.
• 大きさ: 24 cm
• 分類:
  • DC21 : 530.414
• 件名:
  • LCSH : Phase transformations (Statistical physics)