Computer simulations

Systems which work according to very simple rules, still produce very complex behaviour. Small changes in parameters can have huge consequences ...

Systems which work according to very simple rules, still produce very complex behaviour. Small changes in parameters can have huge consequences, for example water-molecules at 1°C or -1°C, although for an individual molecule the difference is very small (the average speed of the molecule drops about 0.4%) the behaviour of the systems as a whole is very different.

Computer offer the possibility to study the effect of parameters. Unfortunately the rules for normal systems can not be easily transformed to a computer simulation. Because computers are discrete, they are too slow. So normally only a very small part of a system can be simulated. Somehow a result for a small system has to to converted to a conclusion about a large system. Small changes can have huge consequences, this also applies to errors, so the errors (in converting the real system to a computer model, in approximations of the computation) can completely change the results.