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arXiv · 0811.2726

Spontaneous ordering against an external field in nonequilibrium systems

J. C. Gonzalez-Avella·M. G. Cosenza·V. M. Eguiluz·M. San Miguel
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Abstract

We study the collective behavior of nonequilibrium systems subject to an external field with a dynamics characterized by the existence of non-interacting states. Aiming at exploring the generality of the results, we consider two types of models according to the nature of their state variables: (i) a vector model, where interactions are proportional to the overlap between the states, and (ii) a scalar model, where interaction depends on the distance between states. In both cases the system displays three phases: two ordered phases, one parallel to the field, and another orthogonal to the field; and a disordered phase. The phase space is numerically characterized for each model in a fully connected network. By placing the particles on a small-world network, we show that, while a regular lattice favors the alignment with the field, the presence of long-range interactions promotes the formation of the ordered phase orthogonal to the field.

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J. C. Gonzalez-Avella, M. G. Cosenza, V. M. Eguiluz, M. San Miguel. 2008-11-17. Spontaneous ordering against an external field in nonequilibrium systems. https://doi.org/10.1088/1367-2630%2F12%2F1%2F013010

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