TY - JOUR
T1 - Synchronization and stimulated emission in an array of mechanical phase oscillators on a resonant support
AU - Mertens, David
AU - Weaver, Richard
PY - 2011/4/25
Y1 - 2011/4/25
N2 - Inspired by recent laboratory observations, we propose a mechanical model for eccentrically weighted motors coupled through a vibrating plate. The equations are found to generalize those of Kuramoto to frequency- and position-dependent coupling. The behavior of the model, as determined analytically for no disorder and numerically for systems with and without quenched disorder, shows the key features observed in the laboratory, including hysteresis, bistability, and a spectral gap. The model exhibits stimulated emission and discontinuous lasinglike transitions.
AB - Inspired by recent laboratory observations, we propose a mechanical model for eccentrically weighted motors coupled through a vibrating plate. The equations are found to generalize those of Kuramoto to frequency- and position-dependent coupling. The behavior of the model, as determined analytically for no disorder and numerically for systems with and without quenched disorder, shows the key features observed in the laboratory, including hysteresis, bistability, and a spectral gap. The model exhibits stimulated emission and discontinuous lasinglike transitions.
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U2 - 10.1103/PhysRevE.83.046221
DO - 10.1103/PhysRevE.83.046221
M3 - Article
C2 - 21599284
AN - SCOPUS:79961087150
SN - 1539-3755
VL - 83
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 046221
ER -