First Order Nonequilibrium Phase Transition in a Spatially Extended System
adap-org
2009-10-30 v1 Adaptation and Self-Organizing Systems
Abstract
We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many constituents the coexistence of several ergodic components and a bifurcation behaviour like in first order phase transitions. These results are compared with simulations for finite systems both for global coupling and for nearest neighbour coupling on two- and three-dimensional cubic lattices. The mean-field type results for global coupling provide a better understanding of the more complex behaviour in the latter case.
Keywords
Cite
@article{arxiv.adap-org/9706004,
title = {First Order Nonequilibrium Phase Transition in a Spatially Extended System},
author = {R. Muller and K. Lippert and A. Kuhnel and U. Behn},
journal= {arXiv preprint arXiv:adap-org/9706004},
year = {2009}
}
Comments
4 pages, 7 figures, RevTeX, to appear in Phys. Rev. E (1997)