ABSTRACT

Energy is typically regarded as understandable, despite its multiple forms of storage and transfer. Entropy, however, is an enigma, in part because of the common view that it represents disorder. That view is flawed and hides entropy’s connection with energy. In fact, macroscopic matter stores internal energy, and that matter’s entropy is determined by how the energy is stored. Energy and entropy are intimately linked.

Energy and Entropy: A Dynamic Duo illuminates connections between energy and entropy for students, teachers, and researchers. Conceptual understanding is emphasised where possible through examples, analogies, figures, and key points.

Features:

  • Qualitative demonstration that entropy is linked to spatial and temporal energy spreading, with equilibrium corresponding to the most equitable distribution of energy, which corresponds to maximum entropy
  • Analysis of energy and entropy of matter and photons, with examples ranging from rubber bands, cryogenic cooling, and incandescent lamps to Hawking radiation of black holes
  • Unique coverage of numerical entropy, the 3rd law of thermodynamics, entropic force, dimensionless entropy, free energy, and fluctuations, from Maxwell's demon to Brownian ratchets, plus attempts to violate the second law of thermodynamics

chapter Chapter 1|34 pages

Energy is Universal

chapter Chapter 2|27 pages

Energy is Not Enough

chapter Chapter 3|32 pages

Entropy: Energy's Needed Partner

chapter Chapter 4|58 pages

Gases, Solids, Polymers

chapter Chapter 5|26 pages

Radiation & Photons

chapter Chapter 6|16 pages

Numerical Entropy

chapter Chapter 7|17 pages

Language & Philosophy of Thermodynamics

chapter Chapter 8|38 pages

Working, Heating, Cooling

chapter Chapter 9|42 pages

Sanctity of the 2nd Law of Thermodynamics

chapter Chapter 10|5 pages

Reflections & Extensions

chapter Chapter 11|2 pages

Appendices: Mathematical Identities