Boltzmann's entropy formula

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In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann–Planck equation, not to be confused with the more general Boltzmann equation, which is a partial differential equation) is a probability equation relating the entropy S {\displaystyle S} (also written as S B {\displaystyle S_{\mathrm {B} }} ) of an ideal gas to the multiplicity (commonly denoted as Ω {\displaystyle \Omega } or W {\displaystyle W} ), the number of real microstates corresponding to the gas's macrostate: where k B {\displaystyle k_{\mathrm {B} }} is the Boltzmann constant (also written as simply...

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