Reduced temperature in Maxwell—Jüttner statistics¶

Reduced temperature is a dimensionless quantity used in the Maxwell—Jüttner distribution function. It depends on the temperature of the system, as well as on the mass of a particle of the gas in question.

Notation:

\(k_\text{B}\) (k_B) is boltzmann_constant.
\(c\) (c) is speed_of_light.

Links:

Wikipedia.

reduced_temperature¶: Reduced temperature.

Symbol:: theta
Latex:: \(\theta\)
Dimension:: dimensionless

temperature¶: temperature of the gas.

Symbol:: T
Latex:: \(T\)
Dimension:: temperature

particle_mass¶: mass of a relativistic particle comprising the gas.

Symbol:: m
Latex:: \(m\)
Dimension:: mass

law¶

theta = k_B * T / (m * c^2)

Latex:: \[\theta = \frac{k_\text{B} T}{m c^{2}}\]