학술논문

Spontaneous ordering against an external field in nonequilibrium systems
Document Type
Working Paper
Source
New J. Phys.12, 013010 (2010)
Subject
Condensed Matter - Disordered Systems and Neural Networks
Condensed Matter - Statistical Mechanics
Language
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.
Comment: 5 pages, 5 figures