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added radioactive decay in Theory
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RemDelaporteMathurin committed Jul 23, 2024
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Expand Up @@ -113,6 +113,19 @@ According to the latter, the rate :math:`k(T)` of a thermally activated process
where :math:`k_0` is the pre-exponential factor, :math:`E_k` is the process activation energy, and :math:`T` is the temperature.

Radioactive decay
^^^^^^^^^^^^^^^^^

Radioactive decay can be included in FESTIM. Neglecting other terms (diffusion, trapping...), the temporal evolution of the concentration of a species :math:`c` is governed by:

.. math::
:label: eq_radioactive_decay
\frac{\partial c}{ \partial t} = -\lambda c
where :math:`\lambda` is the decay constant.
In FESTIM it is possible to include radioactive decay in the mobile hydrogen concentration and/or the trapped hydrogen concentrations.

Heat transfer
^^^^^^^^^^^^^^
To properly account for the temperature-dependent parameters, an accurate representation of the temperature field is often required. FESTIM can solve a heat transfer problem governed by the heat equation:
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