Issue
EPL
Volume 78, Number 5, June 2007
Article Number 58003
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
DOI http://dx.doi.org/10.1209/0295-5075/78/58003
Published online 17 May 2007
EPL, 78 (2007) 58003
DOI: 10.1209/0295-5075/78/58003

Dynamics and thermodynamics of a gas of automata

G. 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

Abstract
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 $N \gg 1$ 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.

PACS
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