Reduced temperature in Maxwell—Jüttner statistics
=================================================

Reduced temperature is a dimensionless quantity used in the
:doc:`Maxwell—Jüttner distribution <laws.thermodynamics.relativistic.maxwell_juettner_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:**

#. :math:`k_\text{B}` (:code:`k_B`) is :attr:`~symplyphysics.quantities.boltzmann_constant`.
#. :math:`c` (:code:`c`) is :attr:`~symplyphysics.quantities.speed_of_light`.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Maxwell%E2%80%93J%C3%BCttner_distribution#Definition>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.relativistic.reduced_temperature_in_maxwell_juettner_statistics

.. py:data:: reduced_temperature

    Reduced :attr:`~symplyphysics.symbols.thermodynamics.temperature`.

Symbol:
    :code:`theta`

Latex:
    :math:`\theta`

Dimension:
    :code:`dimensionless`


.. py:data:: temperature

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` of the gas.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: particle_mass

    :attr:`~symplyphysics.symbols.basic.mass` of a relativistic particle comprising the gas.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

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


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