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0022-4715/03/0700-0135/0 2003 Plenum Publishing Corporation Journal of Statistical Physics, Vol. 112, Nos. 1/2, July 2003 ( 2003)
 

Summary: 135
0022-4715/03/0700-0135/0 © 2003 Plenum Publishing Corporation
Journal of Statistical Physics, Vol. 112, Nos. 1/2, July 2003 (© 2003)
Phase Transitions in Self-Driven Many-Particle
Systems and Related Non-Equilibrium Models:
A Network Approach
Maximino Aldana1
and Cristián Huepe1
1
The James Franck Institute, The University of Chicago, 5640 South Ellis Avenue, Chicago,
Illinois 60637; e-mail: maximino@control.uchicago.edu
Received October 30, 2002; accepted February 1, 2003
We investigate the conditions that produce a phase transition from an ordered
to a disordered state in a family of models of two-dimensional elements with a
ferromagnetic-like interaction. This family is defined to contain under the same
framework, among others, the XY-model and the Self-Driven Particles Model
introduced by Vicsek et al. Each model is distinguished only by the rules that
determine the set of elements with which each element interacts. We propose a
new member of the family: the vectorial network model, in which a given frac-
tion of the elements interact through direct random connections. This model is

  

Source: Aldana, Maximino - Centro de Ciencias Físicas, Universidad Nacional Autónoma de México

 

Collections: Physics