Low Temperature Physics: 34, 543 (2008); https://doi.org/10.1063/1.2957286 (6 pages)
Физика Низких Температур: Том 34, Выпуск 7 (Июль 2008), c. 687-694    ( к оглавлению , назад )

Visualizing intrinsic localized modes with a nonlinear micromechanical array

M. Sato

Graduate School of Natural Science and Technology, Kanazawa University Kanazawa, Ishikawa 920-1192, Japan

A.J. Sievers

Laboratory of Atomic and Solid State Physics, Cornell University Ithaca, NY 14853-2501, USA
E-mail: sievers@ccmr.cornell.edu

Received November 26, 2007


Micromechanical cantilever arrays provide the opportunity to visualize the nonlinear excitations of a discrete nonlinear system in real time. Both stationary and moving localized nonlinear excitations can be produced either by driving the system at a frequency outside the plane wave spectrum or by driving the system at a frequency within the small amplitude dispersion curve range. To see these modes the tips of the cantilevers are imaged on a 1D CCD camera. The brightness of the image depends on the oscillation amplitude of the cantilever so that a distribution of amplitudes in the array can be recorded as a function of position and time. Both the stationary and traveling excitations have been successfully simulated using a nonlinear lumped element lattice model. The former ILM can appear in any size lattice while the latter requires a low density of modes for the formation of smoothly running excitation.

PACS: 05.45.–a Nonlinear dynamics and chaos;
PACS: 63.20.Pw Localized modes;
PACS: 63.20.Ry Anharmonic lattice modes;
PACS: 85.85.+j Micro- and nano-lectromechanical systems (MEMS/NEMS) and devices.

Ключевые слова: nonlinear dynamics, intrinsic localized mode, discrete breather, stationary and traveling localized modes, micromechanical cantilever array.