diff --git a/docs/source/theory.rst b/docs/source/theory.rst index 9eb5713da..3ee3b5aae 100644 --- a/docs/source/theory.rst +++ b/docs/source/theory.rst @@ -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: