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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Phase Transition Dynamics (Hardcover, 2nd ed. 2019)
Loot Price: R5,397
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Phase Transition Dynamics (Hardcover, 2nd ed. 2019)
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This book is an introduction to a comprehensive and unified dynamic
transition theory for dissipative systems and to applications of
the theory to a range of problems in the nonlinear sciences. The
main objectives of this book are to introduce a general principle
of dynamic transitions for dissipative systems, to establish a
systematic dynamic transition theory, and to explore the physical
implications of applications of the theory to a range of problems
in the nonlinear sciences. The basic philosophy of the theory is to
search for a complete set of transition states, and the general
principle states that dynamic transitions of all dissipative
systems can be classified into three categories: continuous,
catastrophic and random. The audience for this book includes
advanced graduate students and researchers in mathematics and
physics as well as in other related fields. This second edition
introduces a unified theory for topological phase transitions,
provides a first-principle approach to statistical and quantum
physics, and offers a microscopic mechanism of quantum condensates
(Bose-Einstein condensation, superfluidity, and superconductivity).
Reviews of first edition: "The goals of this interesting book are
to derive a general principle of dynamic transitions for
dissipative systems and to establish a systematic dynamic
transition theory for a wide range of problems in the nonlinear
sciences. ... The intended audience for this book includes students
and researchers working on nonlinear problems in physics,
meteorology, oceanography, biology, chemistry, and the social
sciences." (Carlo Bianca, Mathematical Reviews, December, 2014)
"This is a clearly written book on numerous types of phase
transitions taken in a broad sense when a dynamical dissipative
system transforms from one physical state into another. ... The
book is a very useful literature not only for the professionals in
the field of dynamic systems and phase transitions but also for
graduate students due to its interdisciplinary coverage and
state-of-the-art level." (Vladimir Cadez, zbMATH, Vol. 1285, 2014)
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