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:

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

2. \(c\) (c) is speed_of_light.

Links:

1. 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:

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