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This book is the seventh volume of review chapters on advanced
problems of phase transitions and critical phenomena, the former
six volumes appeared in 2004, 2007, 2012, 2015, 2018, and 2020. The
aim of the book is to provide reviews in those aspects of
criticality and related subjects that are currently attracting much
attention due to essential new contributions.The book consists of
five chapters. They discuss criticality of complex systems, where
the new, emergent properties appear via collective behaviour of
simple elements as well as historical aspects of studies in the
field of critical phenomena. 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 six volumes, this book is based on the review lectures
that were given in Lviv (Ukraine) at the 'Ising lectures' - a
traditional annual workshop on complex systems, phase transitions
and critical phenomena which aims to bring together experts in
these fields with university students and those who are interested
in the subject.
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.
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.
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.
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.
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