 
Summary: CELLULAR AUTOMATA MODELS AND MHD APPROACH
IN THE CONTEXT OF SOLAR FLARES 1
Anastasios Anastasiadis
Institute for Space Applications & Remote Sensing
National Observatory of Athens
GR15236, Penteli, Greece
anastasi@space.noa.gr
Abstract: We address in detail the cellular automaton approach, developed for the case of solar
flares, and compare it to the magnetohydrodynamic (MHD) theory. We consider solar flares as typical
complex dynamical systems and we are interested in their global dynamical behavior, through their
statistical properties.
1 Introduction
The behavior of several dynamical systems in nature, is sometimes complex and unpredictable, despite
the fact that their evolution is governed by simple physical laws. The main reason for the complex
behavior of dynamical systems, is that a local change in a subset of the system can affect the evolution
of the whole system. A complex dynamical system can be defined as a system that consists of a large
number of different nonlinear interacting subsystems.
Statistical physics and mathematics are the most common tools to explore how a complex system evolve.
The usual approach is to limit the degrees of freedom of the system by making several assumptions
(e.g. all the subsystems of the complex system are identical), in this way it is possible to use a set of
