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  Home : Math & Science : Physics Study Guides : Thermodynamics : Stats : Terms and Formulae
Thermodynamic Stats
  
 
Terms and Formulae
Terms
Boltzmann Factor  -  Any term of the form e-
/τ
is called a Boltzmann Factor.
Gibbs Factor  -  Any term of the form e(Nμ-
)/τ
is called a Gibbs factor.
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 ω 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

Formulae
The probability of finding a system in energy state
if the system is in thermal contact with a reservoir

P(
) =

The entropy of blackbody radiation

σ =
(
)3

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