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Properties of systems with long range interactions are still poorly
understood despite being of importance in most areas of physics.
The present volume introduces and reviews the effort of
constructing a coherent thermodynamic treatment of such systems by
combining tools from statistical mechanics with concepts and
methods from dynamical systems. Analogies and differences between
various systems are examined by considering a large range of
applications, with emphasis on Bose--Einstein condensates. Written
as a set of tutorial reviews, the book will be useful for both the
experienced researcher as well as the nonexpert scientist or
postgraduate student.
Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.
Solitons are waves with exceptional stability properties which
appear in many areas of physics. The basic properties of solitons
are introduced here using examples from macroscopic physics (e.g.
blood pressure pulses and fibre optical communications). The book
then presents the main theoretical methods before discussing
applications from solid state or atomic physics such as
dislocations, excitations in spin chains, conducting polymers,
ferroelectrics and Bose-Einstein condensates. Examples are also
taken from biological physics and include energy transfer in
proteins and DNA fluctuations. Throughout the book the authors
emphasise a fresh approach to modelling nonlinearities in physics.
Instead of a perturbative approach, nonlinearities are treated
intrinsically and the analysis based on the soliton equations
introduced in this book. Based on the authors' graduate course,
this textbook gives an instructive view of the physics of solitons
for students with a basic knowledge of general physics, and
classical and quantum mechanics.
Solitons are waves with exceptional stability properties which
appear in many areas of physics. The basic properties of solitons
are introduced here using examples from macroscopic physics (e.g.
blood pressure pulses and fibre optical communications). The book
then presents the main theoretical methods before discussing
applications from solid state or atomic physics such as
dislocations, excitations in spin chains, conducting polymers,
ferroelectrics and Bose-Einstein condensates. Examples are also
taken from biological physics and include energy transfer in
proteins and DNA fluctuations. Throughout the book the authors
emphasise a fresh approach to modelling nonlinearities in physics.
Instead of a perturbative approach, nonlinearities are treated
intrinsically and the analysis based on the soliton equations
introduced in this book. Based on the authors' graduate course,
this textbook gives an instructive view of the physics of solitons
for students with a basic knowledge of general physics, and
classical and quantum mechanics.
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