
This book is based on the premise that the entropy concept, a fundamental element of probability theory as logic, governs all of thermal physics, both equilibrium and nonequilibrium. The variational algorithm of J. Willard Gibbs, dating from the 19th Century and extended considerably over the following 100 years, is shown to be the governing feature over the entire range of thermal phenomena, such that only the nature of the macroscopic constraints changes. Beginning with a short history of the development of the entropy concept by Rudolph Clausius and his predecessors, along with the formalization of classical thermodynamics by Gibbs, the first part of the book describes the quest to uncover the meaning of thermodynamic entropy, which leads to its relationship with probability and information as first envisioned by Ludwig Boltzmann. Recognition of entropy first of all as a fundamental element of probability theory in mid-twentieth Century led to deep insights into both statistical mechanics and thermodynamics, the details of which are presented here in several chapters. The later chapters extend these ideas to nonequilibrium statistical mechanics in an unambiguous manner, thereby exhibiting the overall unifying role of the entropy.
This text investigates the role of entropy as a fundamental element of probability theory that governs all thermal physics, both in equilibrium and nonequilibrium states. Walter T. Grandy Jr. utilizes the variational algorithm of J. Willard Gibbs to provide a unified framework for understanding thermal phenomena. By tracing the historical development of the entropy concept from Clausius to Boltzmann, the author argues that entropy serves as the primary governing feature across all macroscopic constraints.
What You Will Find
Scope Limits
Experts recognize this work as a rigorous, high-level treatment of statistical mechanics that bridges the gap between classical thermodynamics and modern information theory. Readers frequently note the mathematical density of the prose, which requires a strong background in physics and calculus to fully comprehend.
Page Count:
224
Publication Date:
2008-01-01
Publisher:
OUP Oxford
ISBN-10:
0191562955
ISBN-13:
9780191562952
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