Thursday, June 13, 2013

1306.2647 (F. Ionita et al.)

Order-by-disorder in classical oscillator systems    [PDF]

F. Ionita, D. Labavic, M. A. Zaks, H. Meyer-Ortmanns
We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of synchronization and by patterns of phase-locked motion. When disorder is introduced into the system by additive or multiplicative Gaussian noise, we observe non-monotonic dependence of the degree of order in the system on the noise intensity: intervals of noise intensity with low synchronization between the oscillators alternate with intervals where more oscillators are synchronized. In the latter case, noise induces a higher degree of order in the sense of a larger number of nearly coinciding phases. This order-by-disorder effect is reminiscent to the analogous phenomenon known from spin systems. Surprisingly, this non-monotonic evolution of the degree of order is observed not only for a single interval of intermediate noise strength, but repeatedly as a function of increasing noise intensity.
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