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Discover entropy and the second law of thermodynamics : a playful way of discovering a law of nature /

This is a sequel to the author's book entitled "Entropy Demystified" (Published by World Scientific, 2007). The aim is essentially the same as that of the previous book by the author : to present Entropy and the Second Law as simple, meaningful and comprehensible concepts. In addition...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ben-Naim, Arieh, 1934-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction : A brief history of entropy and the second law of thermodynamics. 1.1. The non-atomistic formulations of the second law. 1.2. The atomistic formulation of the second law. 1.3. Entropy as a measure of information. 1.4. Popular metaphoric descriptions of entropy
  • 2. All you need to know but never dared to admit that you already know. 2.1. Grouping of objects and assigning measures. 2.2. Events and their probabilities. 2.3. Information and its Shannon measure
  • 3. Discover the uniform spatial distribution. 3.1. Initial warm-up : Two marbles in two cells. 3.2. Two cells and a varying number of marbles. 3.3. Ten marbles and varying number of cells. 3.4. Some simple experiments using two systems at equilibrium
  • 4. Discover the Boltzmann distribution. 4.1. Six marbles in three cells. 4.2. Nine marbles in varying number of cells. 4.3. Ten cells and variable number of marbles. 4.4. Some simple processes involving transferring of marbles. 4.5. Dependence of SMI and W on the string length TL. 4.6. A process involving exchange of string between two systems. 4.7. A spontaneous transfer of string from the high-value to a lower-value TL. 4.8. Another experiment involving a spontaneous transfer of string. 4.9. What have we learned in this chapter?
  • 5. Discover the Maxwell-Boltzmann distribution. 5.1. Six marbles in three cells. 5.2. Nine marbles in varying number of cells. 5.3. Chaning the number of marbles in a fixed number of cells. 5.4. Dependence on the total cloth area. 5.5. A process involving exchange of cloth between two systems. 5.6. A process involving a spontaneous transfer of cloth. 5.7. What have we learned in this chapter?
  • 6. Entropy and the second law in the world of marbles. 6.1. Summary of the experiments with a single system. 6.2. Summary and conclusions regarding the processes involving two systems. 6.3. Summary of everything we have learned : What, why, and how
  • 7. Entropy and the second law in the real world. 7.1. The dictionary. 7.2. Uniform distribution : Shannon's first theorem and the second law. 7.3. Some more processes in the "uniform" class. 7.4. The Boltzmann distribution : Shannon's second theorem and Clausius' definition of entropy. 7.5. The Maxwell-Boltzmann distribution : Shannon's third theorem and Clausius' formulation of the second law of thermodynamics. 7.6. The conclusion of all conclusions
  • 8. Notes.