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Boltzmann Factor
Any term of the form e-/τ is called a Boltzmann Factor.
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Gibbs Factor
Any term of the form e(Nμ-)/τ is called a Gibbs factor.
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Gibbs Sum
The Gibbs Sum is the sum of all of the Gibbs Factors for the states and numbers of a system, and is given by:
ZG(μ, τ) = e(Nμ-)/τ -
Partition Function
The Partition Function represents the sum of all of the Boltzmann Factors for the states of a system, and is given by:
Z = e-/τ -
Planck distribution function
The Planck distribution function describes the average number of photons < s > in a particular frequency σ for blackbody radiation and is given by:
< s > = -
Stefan-Boltzmann law of radiation
The Stefan-Boltzmann law of radiation gives the energy density of radiation in a cavity, as can be expressed:
= τ4
Terms
Formulae
The probability of finding a system in energy state if the system is in thermal contact with a reservoir |
P() =
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The entropy of blackbody radiation |
σ = ()3
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