Boltzmann's entropy formula, S equals k_B times the natural log of W, relates the entropy S of a system to the number of microscopic arrangements, or microstates, W that correspond to its observed macroscopic state, with k_B the Boltzmann constant. It shows that entropy increases with the number of ways the atoms or molecules of a system can be arranged while still producing the same large scale, observable properties, connecting the microscopic and macroscopic descriptions of matter. Ludwig Boltzmann developed the idea between 1872 and 1875, and Max Planck put it into this exact equation form around 1900. It is one of the foundational relationships of statistical mechanics.
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1. Boltzmann's Entropy Formula (Wikipedia)
- This reflects the original statistical entropy function introduced by Ludwig Boltzmann in 1872
Attributed To: Ludwig Boltzmann, Lead paragraph
In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann-Planck equation, not to be confused with the more general Boltzmann equation,
In Branch: Mathematical Physics, Lead section
In statistical mechanics, Boltzmann's entropy formula (also known as the
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