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Nonequilibrium and Irreversibility (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R2,319
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Nonequilibrium and Irreversibility (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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This book concentrates on the properties of the stationary states
in chaotic systems of particles or fluids, leaving aside the theory
of the way they can be reached. The stationary states of particles
or of fluids (understood as probability distributions on
microscopic configurations or on the fields describing continua)
have received important new ideas and data from numerical
simulations and reviews are needed. The starting point is to find
out which time invariant distributions come into play in physics. A
special feature of this book is the historical approach. To
identify the problems the author analyzes the papers of the
founding fathers Boltzmann, Clausius and Maxwell including
translations of the relevant (parts of) historical documents. He
also establishes a close link between treatment of irreversible
phenomena in statistical mechanics and the theory of chaotic
systems at and beyond the onset of turbulence as developed by
Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments
intending to support strongly the viewpoint that stationary states
in or out of equilibrium can be described in a unified way. In this
book it is the "chaotic hypothesis", which can be seen as an
extension of the classical ergodic hypothesis to non equilibrium
phenomena, that plays the central role. It is shown that SRB -
often considered as a kind of mathematical playground with no
impact on physical reality - has indeed a sound physical
interpretation; an observation which to many might be new and a
very welcome insight. Following this, many consequences of the
chaotic hypothesis are analyzed in chapter 3 - 4 and in chapter 5 a
few applications are proposed. Chapter 6 is historical: carefully
analyzing the old literature on the subject, especially ergodic
theory and its relevance for statistical mechanics; an approach
which gives the book a very personal touch. The book contains an
extensive coverage of current research (partly from the authors and
his coauthors publications) presented in enough detail so that
advanced students may get the flavor of a direction of research in
a field which is still very much alive and progressing. Proofs of
theorems are usually limited to heuristic sketches privileging the
presentation of the ideas and providing references that the reader
can follow, so that in this way an overload of this text with
technical details could be avoided.
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