The Entropy Principle

1. Front Matter

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2. Introduction

   • André Thess

   Pages 1-7

3. Adiabatic Accessibility

   • André Thess

   Pages 9-33

4. Entropy

   • André Thess

   Pages 35-51

5. General Conclusions

   • André Thess

   Pages 53-85

6. Specific Applications

   • André Thess

   Pages 87-145

7. Summary

   • André Thess

   Pages 147-149

8. Back Matter

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Entropy – the key concept of thermodynamics, clearly explained and carefully illustrated. This book presents an accurate definition of entropy in classical thermodynamics which does not “put the cart before the horse” and is suitable for basic and advanced university courses in thermodynamics. Entropy is the most important and at the same time the most difficult term of thermodynamics to understand. Many students are discontent with its classical definition since it is either based on “temperature” and “heat” which both cannot be accurately defined without entropy, or since it includes concepts such as “molecular disorder” which does not fit in a macroscopic theory. The physicists Elliott Lieb and Jakob Yngvason have recently developed a new formulation of thermodynamics which is free of these problems. The Lieb-Yngvason formulation of classical thermodynamics is based on the concept of adiabatic accessibility and culminates in the entropy principle. The entropy principle represents the accurate mathematical formulation of the second law of thermodynamics. Temperature becomes a derived quantity whereas ”heat” is no longer needed. This book makes the Lieb-Yngvason theory accessible to students. The presentation is supplemented by seven illustrative examples which explain the application of entropy and the entropy principle in practical problems in science and engineering.

• Entropy
• Heat Transfer
• Lieb-Yngvason Theory
• Thermodynamics

From the reviews:

“This book attempts to describe the work of Elliott Lieb (mathematical physicist) and Jakob Yngvason (theoretical physicist) on entropy and the second law of thermodynamics from an axiomatic or logical point of view, without the need of the concept of temperature or heat engines. … a supplemental resource that can greatly enhance an understanding of entropy. Summing Up: Recommended. Primarily physics upper-division undergraduates through researchers/faculty, but also history of science graduate students … .” (J. Lambropoulos, Choice, Vol. 49 (2), October, 2011)

“The new book is written as supplementary material to existing textbooks in thermodynamics. It is primarily intended for students who find the traditional definition of entropy unsatisfactory. … The present book is accessible to undergraduate students as well as to other scientists and engineers interested in the fundamentals of thermodynamics.” (Claudia-Veronika Meister, Zentralblatt MATH, Vol. 1216, 2011)

• Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, Ilmenau, Germany

  André Thess

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