Chapter 9: Fundamental Physics

Section 3: Irreversibility and the Second Law of Thermodynamics

Entropy of particles in a box

The number of possible states of a region of m cells containing q particles is Binomial[m,q]. In the large size limit, the logarithm of this can be approximated by q/m Log[m/q].

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From Stephen Wolfram: A New Kind of Science [citation]