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Time's Arrow: The Origins of Thermodynamic Behavior
     

Time's Arrow: The Origins of Thermodynamic Behavior

by Michael C. Mackey
 

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Written by a well-known professor of physiology at McGill University, this text presents an informative exploration of the basis of the Second Law of Thermodynamics, detailing the fundamental dynamic properties behind the construction of statistical mechanics.
Topics include maximal entropy principles; invertible and noninvertible systems; ergodicity and unique

Overview

Written by a well-known professor of physiology at McGill University, this text presents an informative exploration of the basis of the Second Law of Thermodynamics, detailing the fundamental dynamic properties behind the construction of statistical mechanics.
Topics include maximal entropy principles; invertible and noninvertible systems; ergodicity and unique equilibria; asymptotic periodicity and entropy evolution; and open discrete and continuous time systems. The author demonstrates that the black body radiation law can be deduced from maximal entropy principles; discusses sufficient conditions for the existence of at least one state of thermodynamic equilibrium; describes the behavior of entropy in asymptotically periodic systems and the necessary and sufficient condition for the evolution of entropy to a global maximum; and presents the three main types of ergodic theorems and theory proofs. He also explores the potential of incomplete knowledge of dynamical variables, measurement imprecision, and the effects of noise in entropy increases.
Geared toward physicists and applied mathematicians with an interest in the foundations of statistical mechanics, this text is suitable for advanced undergraduate and graduate courses.

Product Details

ISBN-13:
9780486432434
Publisher:
Dover Publications
Publication date:
11/17/2003
Series:
Dover Books on Physics Series
Pages:
192
Product dimensions:
5.34(w) x 8.42(h) x 0.41(d)

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