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Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) (Hardcover, 2nd Revised edition)
Loot Price: R4,140
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Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) (Hardcover, 2nd Revised edition)
Series: Advanced Series in Nonlinear Dynamics, 13
Expected to ship within 10 - 15 working days
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A small army of physicists, chemists, mathematicians, and engineers
has joined forces to attack a classic problem, the "reversibility
paradox", with modern tools. This book describes their work from
the perspective of computer simulation, emphasizing the authors'
approach to the problem of understanding the compatibility, and
even inevitability, of the irreversible second law of
thermodynamics with an underlying time-reversible mechanics.
Computer simulation has made it possible to probe reversibility
from a variety of directions and "chaos theory" or "nonlinear
dynamics" has supplied a useful vocabulary and a set of concepts,
which allow a fuller explanation of irreversibility than that
available to Boltzmann or to Green, Kubo and Onsager. Clear
illustration of concepts is emphasized throughout, and reinforced
with a glossary of technical terms from the specialized fields
which have been combined here to focus on a common theme.The book
begins with a discussion, contrasting the idealized reversibility
of basic physics against the pragmatic irreversibility of real
life. Computer models, and simulation, are next discussed and
illustrated. Simulations provide the means to assimilate concepts
through worked-out examples. State-of-the-art analyses, from the
point of view of dynamical systems, are applied to many-body
examples from nonequilibrium molecular dynamics and to chaotic
irreversible flows from finite-difference, finite-element, and
particle-based continuum simulations. Two necessary concepts from
dynamical-systems theory - fractals and Lyapunov instability - are
fundamental to the approach.Undergraduate-level physics, calculus,
and ordinary differential equations are sufficient background for a
full appreciation of this book, which is intended for advanced
undergraduates, graduates, and research workers. The generous
assortment of examples worked out in the text will stimulate
readers to explore the rich and fruitful field of study which links
fundamental reversible laws of physics to the irreversibility
surrounding us all.This expanded edition stresses and illustrates
computer algorithms with many new worked-out examples, and includes
considerable new material on shockwaves, Lyapunov instability and
fluctuations.
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