Revisiting the limit behaviour of ``El Botellon"

Emergent phenomena occur due to the pattern of non-linear and distributed local interac- tions between the elements of a system over time. An example of such phenomena is the spontaneous self-organisation of drinking parties in the squares of cities in Spain, also known as "El Botello ?n". The emergence of self-organisation was shown to depend critically on the chat-probability, i.e. the probability that a person finds someone to chat with in a square of the city. We consider a variant of "El Botello ?n" in which this probability is instead defined based on the socialisation level. For this variant it is possible to derive the mean field limit and perform a stability analysis of the related ODE. We also provide a process algebraic model of "El Botello ?n" and show that the phase plots of the ODE derived from the latter correspond very well to the mean field limit even for finite though relatively large populations.