Dynamics and thermodynamics of a gas of automataG. Turchetti1, 2, F. Zanlungo1, 2 and B. Giorgini1
1 Dipartimento di Fisica,Università di Bologna - via Irnerio 46, 40126 Bologna, Italy
2 Centro interdipartimentale Galvani - via S. Giacomo 12, 40126 Bologna, Italy
received 20 December 2006; accepted in final form 20 April 2007; published June 2007
published online 17 May 2007
We consider a system of point charges interacting within a cone of vision and confined by an external potential, as a simple model of individuals provided with vision. The non Newtonian nature of the interaction introduces dissipative effects which are balanced by a memory mechanism. The two-body system is amenable to quadrature, whereas the body system exhibits crystal-like and disordered states with a non-trivial phase diagram if the interaction range and memory persistence are chosen as control parameters.
89.75.-k - Complex systems.
87.23.Ge - Dynamics of social systems.
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.
© Europhysics Letters Association 2007