Entropy from statistical weight
===============================

Entropy of a system depends on the statistical weight of the system's state. Statistical weight
is the average number of microstates of a system that implement its macro-state.

**Notation:**

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

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Entropy_(statistical_thermodynamics)#Gibbs_entropy_formula>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.entropy_from_statistical_weight

.. py:data:: entropy

    :attr:`~symplyphysics.symbols.thermodynamics.entropy` of the system.

Symbol:
    :code:`S`

Latex:
    :math:`S`

Dimension:
    :code:`energy/temperature`


.. py:data:: statistical_weight

    :attr:`~symplyphysics.symbols.thermodynamics.statistical_weight` of the system's state.

Symbol:
    :code:`Omega`

Latex:
    :math:`\Omega`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`S = k_B * log(Omega)`


    Latex:
        .. math::
            S = k_\text{B} \log \left( \Omega \right)