Spontaneous Oscillations of Collective Molecular Motors
arXiv:cond-mat/9611204 · doi:10.1103/PhysRevLett.78.4510
Abstract
We analyze a simple stochastic model to describe motor molecules which cooperate in large groups and present a physical mechanism which can lead to oscillatory motion if the motors are elastically coupled to their environment. Beyond a critical fuel concentration, the non-moving state of the system becomes unstable with respect to a mode with angular frequency omega. We present a perturbative description of the system near the instability and demonstrate that oscillation frequencies are determined by the typical timescales of the motors.
11 pages, Revtex, 4 pages Figures
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