## Solar flare cellular automata interpreted
as discretized MHD equations, A&A, 335, 1085 1998

## Abstract

We show that the Cellular Automaton (CA) model for Solar flares
of Lu and Hamilton (1991) can be understood as the solution to a
particular partial differential equation (PDE), which describes diffusion in
a localized region in space if a certain instability threshold is met,
together with a slowly acting source term. This equation is then compared
to the induction equation of MHD, the equation which governs the energy
release process in solar flares. The similarities and differences are
discussed. We make some suggestions how improved Cellular Automaton
models could be constructed on the basis of MHD, and how physical units
can be introduced in the existing respective Cellular Automaton
models. The introduced formalism of recovering equations from Cellular
Automata models is rather general and can be applied to other situations
as well.

* Keywords *: Sun --- Solar flares -- Cellular Automata -- MHD