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This book establishes the foundations of non-equilibrium quantum
statistical mechanics in order to support students and academics in
developing and building their understanding. The formal theory is
derived from first principles by mathematical analysis, with
concrete physical interpretations and worked examples throughout.
It explains the central role of entropy; its relation to the
probability operator and the generalisation to transitions, as well
as providing first principles derivation of the von Neumann trace
form, the Maxwell-Boltzmann form and the Schroedinger equation.
`Non-equilibrium Thermodynamics and Statistical Mechanics:
Foundations and Applications' builds from basic principles to
advanced techniques, and covers the major phenomena, methods, and
results of time-dependent systems. It is a pedagogic introduction,
a comprehensive reference manual, and an original research
monograph. Uniquely, the book treats time-dependent systems by
close analogy with their static counterparts, with most of the
familiar results of equilibrium thermodynamics and statistical
mechanics being generalized and applied to the non-equilibrium
case. The book is notable for its unified treatment of
thermodynamics, hydrodynamics, stochastic processes, and
statistical mechanics, for its self-contained, coherent derivation
of a variety of non-equilibrium theorems, and for its quantitative
tests against experimental measurements and computer simulations.
Systems that evolve in time are more common than static systems,
and yet until recently they lacked any over-arching theory.
'Non-equilibrium Thermodynamics and Statistical Mechanics' is
unique in its unified presentation of the theory of non-equilibrium
systems, which has now reached the stage of quantitative
experimental and computational verification. The novel perspective
and deep understanding that this book brings offers the opportunity
for new direction and growth in the study of time-dependent
phenomena. 'Non-equilibrium Thermodynamics and Statistical
Mechanics' is an invaluable reference manual for experts already
working in the field. Research scientists from different
disciplines will find the overview of time-dependent systems
stimulating and thought-provoking. Lecturers in physics and
chemistry will be excited by many fresh ideas and topics,
insightful explanations, and new approaches. Graduate students will
benefit from its lucid reasoning and its coherent approach, as well
as from the chem12physof mathematical techniques, derivations, and
computer algorithms.
Description This account of thermodynamics and statistical
mechanics is based on entropy and its maximization. Building from
first principles, it gives a transparent explanation of the
physical behaviour of equilibrium thermodynamic systems, and it
presents a comprehensive, self-contained account of the modern
mathematical and computational techniques of statistical mechanics.
Importance of Topic This field of study is of vital importance to
researchers, lecturers and students alike. Why This Title Dr Attard
is a well-known researcher in statistical mechanics who has made
significant contributions to this field. His book offers a fresh
perspective on the foundations of statistical thermodynamics. It
includes a number of new results and novel derivations, and
provides an intriguing alternative to existing monographs.
Especially of note are the simple graphs and figures that
illustrate the text throughout and the logical organization of the
material. Thermodynamics and Statistical Mechanics will be an
invaluable and comprehensive reference manual for research
scientists. This text can be used as a complement to existing texts
and for supplementary reading.
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