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arXiv · 1007.0558

Properties of modified periodic one-dimensional hopping model

Yunxin Zhang
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Abstract

One-dimensional hopping model is useful to describe the motion of microscopic particle in thermal noise environment, such as motor proteins. Recent experiments about the new generation of light-driven rotary molecular motors found that, the motor in state i can jump forward to state i+1 or i+2, or backward to state i-1 or i-2 directly. In this paper, such modified periodic one-dimensional hopping model of arbitrary period N is studied mathematically. The mean velocity, effective diffusion constant, and mean dwell time in one single cycle are obtained. Corresponding results are illustrated and verified by being applied to a type of synthetic rotary molecular motors.

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Yunxin Zhang. 2010-07-04. Properties of modified periodic one-dimensional hopping model. https://arxiv.org/abs/1007.0558

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