Order, Disorder and Criticality

This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six 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 for the previous 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 topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.Contents: Nature of the Spin Glass Phase in Finite Dimensional (Ising) Spin Glasses (J J Ruiz-Lorenzo)Phase Transitions in Fermi Systems (P Jakubczyk)Geometrical Frustration in Interacting Self-Avoiding Walk Models of Polymers in Dilute Solution (D P Foster)Two-Dimensional Systems of Elongated Particles: From Diluted to Dense (N I Lebovka and Y Y Tarasevich)Modeling Tumor Growth: A Simple Individual-Based Model and Its Analysis (Yu Kozitsky and K Pilorz)Microscopic and Macroscopic Models for Vehicular and Pedestrian Flows (M D Rosini)
Readership: Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena.Condensed Matter Physics;Statistical Physics;Phase Transitions;Criticality;Scaling;Complex Systems0Key Features:Providing reviews of the state-of-the-art studies in various areas of phase transition theory and related topics that have currently attracted much attentionFocuses on the criticality of complex systemsPresents different aspects of complexity, analyzing systems of non-physical origin and studies the criticality of traditional complex physical objects such as disordered magnets and complex polymers