Untitled

Abstract

Previously we examined 1/f noise for a simple cellular automata model. For illustrative purposes we considered a specific case of approaching a city. The case involves a traffic light where one continues on the main road, into which additional cars are entering at the light. At this intersection an alternative route begins, which is longer but into which no additional cars are entering. In this paper we add a modified "Slow to move" model. We check the influence of different percentage of cars which have slow to continue values, on the overall velocity and flux. We calculate the Fourier transform of the average velocity for each traffic light cycle. All the cases can be written as 1/f a . We check by least squares the value of a. We compare qualitatively our results to experiments. When we do not assume cars which are "delayed", the results differ from experiment, but when we introduce the delay mechanism, the results are similar to the experimental values. These values give a close to one, this is called pink noise. We consider too different densities of cars. There are different characteristics for low densities mid range and high densities. We wish to point out that when the autonomous cars, i.e. cars without a human driver, will enter into use, the simple case without delayed cars will become dominant and so the noise will have brown sections at some densities instead of pink sections.