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The Logic of Thermostatistical Physics

  • Book
  • © 2002

Overview

  • The only book to discuss in detail the philosophical as well as mathematical concepts needed for model-building in statistical mechanics and thermodynamics
  • Can be seen as a handbook for future research and has a good chance to become a modern classic in mathematical physics
  • Includes supplementary material: sn.pub/extras

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Table of contents (16 chapters)

Keywords

About this book

This book addresses several of the foundational problems in thermophysics, i. e. thermodynamics and statistical mechanics. It is an interdisciplinary work in that it examines the philosophical underpinning of scientific models and theories; it also refines the analysis of the problems at hand and delineates the place occupied by various scientific models in a generalized philosophical landscape. Hence, our philosophical - or theoretical - inquiry focuses sharply on the concept of models; and our empirical - or laboratory - evidence is sought in the model-building activities of scientists who have tried to confront the epistemological problems arising in the thermophysical sciences. Primarily for researchers and students in physics, philosophy of science, and mathematics, our book aims at informing the readers - with all the in­ dispensable technical details made readily available - about the nature of the foundational problems, how these problems are approached with the help of various mathematical models, and what the philosophical implications of such models and approaches involve. Some familiarity with elementary ther­ mophysics and/or with introductory-level philosophy of science may help, but neither is a prerequisite. The logical and mathematical background re­ quired for the book are introduced in the Appendices. Upon using the Subject Index, the readers may easily locate the concepts and theorems needed for understanding various parts of the book. The Citation Index lists the authors of the contributions we discuss in detail.

Reviews

From the reviews of the first edition:

"Gibbs introduced one century ago an axiomatic approach to statistical mechanics. The a posteriori remarkable success of the Gibbsian formalism is, however, even today in sharp contrast to our lack of understanding of its mechanical foundation. The book The Logic of Thermostatiscal Physics puts into perspective this contrast for classical mechanical systems and for their quantum mechanical counterparts. [...] The book deals with many aspects of not only the logical but also the physical foundation of thermostatistics. Tracing the history of its development makes it a pleasure to read." (Mathematical Reviews 2003g)

"[This] clearly written book contains interesting historical remarks and shows the philosophy behind thermo-statistics. The extraordinarily detailed list of references and its far-reaching range makes the book valuable for mathematicians, physicists and philosophers of science in research and teaching. Its representation may stimulate further philosophical investigations." (Zentralblatt MATH 2004, vol. 1033, page 571)

"This book is a tremendously erudite and comprehensive resource in foundations of statistical mechanics. It is also a significant contribution to the philosophical discussion of models and theories. Philosophers will value the applications of the semantic view of the theories to a wide range of cases in physics. … For those doing research in foundations of statistical physics, having this wealth of information in one place will prove invaluable." (Craig Callender, Studies in History and Philosophy of Modern Physics, Vol. 35, 2004)

"In this book a mathematical physicist and a philosopher report on their professional struggle with the foundational problems of thermodynamics and statistical mechanics. … It is an excellent historical and technical introduction to the BCS theory of superconductivity, and to more recent work on mean field models of dilutegas BEC." (C. Savage, The Physicist, Vol. 39 (3), 2002)

Authors and Affiliations

  • Department of Mathematics, University of Florida, Gainesville, USA

    Gérard G. Emch

  • Department of Philosophy, University of Florida, Gainesville, USA

    Chuang Liu

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