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6 - Entropy

Published online by Cambridge University Press:  05 June 2012

Ian Jordaan
Affiliation:
Memorial University of Newfoundland
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Summary

Chaos umpire sits,

And by decision more embroils the fray

By which he reigns: next him high arbiter

Chance governs all.

John Milton, Paradise Lost, book ii, 1. 907

Introductory comments

Entropy is a concept that is basic to the second law of thermodynamics. It has been used extensively in deriving and studying probability distributions corresponding to maximum entropy. We know that it represents, in some way, disorder, and that the entropy of the universe increases. Eddington called it ‘time's arrow’. Its roots are in the erratic development of the laws of thermodynamics over the last century and a half. Bridgman (1941) says of these laws that ‘they smell more of their human origin’ (as compared to the other laws of physics). This origin encompasses such activities as the observation by Mayer of the colour of blood of his patients in the tropics. During bleeding of these patients in Java, he noticed that the red colour of their venous blood was much brighter than that of his patients in Germany. This brightness indicated that less oxygen had been used in the processing of body fuel than in Germany. The human body, treated as a heat engine, needed less energy in the tropics since less energy was taken out by the surroundings. Mayer concluded that work and heat are equivalent. The second law is illuminated by the irreversible generation of heat during the boring of cannons using teams of horses by Count Rumford.

Type
Chapter
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Decisions under Uncertainty
Probabilistic Analysis for Engineering Decisions
, pp. 272 - 316
Publisher: Cambridge University Press
Print publication year: 2005

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  • Entropy
  • Ian Jordaan, Memorial University of Newfoundland
  • Book: Decisions under Uncertainty
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511804861.007
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  • Entropy
  • Ian Jordaan, Memorial University of Newfoundland
  • Book: Decisions under Uncertainty
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511804861.007
Available formats
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  • Entropy
  • Ian Jordaan, Memorial University of Newfoundland
  • Book: Decisions under Uncertainty
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511804861.007
Available formats
×