Time's Arrow: The Origins of Thermodynamic Behavio...

Description

Title: Time's Arrow: The Origins of Thermodynamic Behavior
Description:
The Second Law of Thermodynamics has been called the most important law of nature: It is

the law that gives a direction to processes that is not inherent in the laws of motion,

that says the state of the universe is driven to thermal equilibrium. Its mathematical

formulation is simple: The entropy of a closed system cannot decrease. Since the

recognition that macroscopic phenomena have an atomic basis, it has remained a fundamental

problem to reconcile the increase of entropy with the known reversibility of all the laws

of microscopic physics. Professor Michael Mackey of McGill University here explores the

dynamical basis for the Second Law, that is, he seeks to illuminate the fundamental

dynamical properties required for the construction of a successful statistical mechanics.

Aimed at physicists and applied mathematicians with an interest in the foundations of

statistical mechanics, the book includes such new material as: a demonstration that the

black body radiation law can be deduced from maximal entropy principles; a discussion of

sufficient conditions for the existence of at least one state of thermodynamic

equilibrium; a description of the behavior of entropy in asymptotically periodic systems;

a necessary and sufficient condition for the evolution of entropy to a global maximum; and

a presen- tation of the three main types of ergodic theorems and their proofs. He also

explores the potential role of incomplete knowledge of dynamical variables, measurement

imprecision, and the effects of noise in giving rise to entropy increases.

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