First Order Nonequilibrium Phase Transition in a Spatially Extended System

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.

arXiv comment4 pages, 7 figures, RevTeX, to appear in Phys. Rev. E (1997)

References in corpus (1)

• Phase Structure of Systems with Multiplicative Noise

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