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 >> 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.
ZANLUNGO, F., GIORGINI, B., TURCHETTI, G. (2007). Dynamics and thermodynamics of a gas automata. EUROPHYSICS LETTERS, 78, 58003-58008 [10.1209/0295-5075/78/58003].
Dynamics and thermodynamics of a gas automata
ZANLUNGO, FRANCESCO;
2007-06-01
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 >> 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.
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