First Order Nonequilibrium Phase Transition in a Spatially Extended System

Details First Order Nonequilibrium Phase Transition in a Spatially Extended System First Order Nonequilibrium Phase Transition in a Spatially Extended System

1997-06-18

arxiv.org/abs/adap-org/9706004v1

Phys. Rev. E 56 (1997) 2658.

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 7 figures, RevTeX, to appear in Phys. Rev. E (1997)

Scientific paper

10.1103/PhysRevE.56.2658

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.

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