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arXiv 1602.00469cond-mat.stat-mech
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集体闪光棘轮的最佳协议

Optimal protocol for a collective flashing ratchet

F. Roca, J. P. G. Villaluenga, L. Dinis

摘要:

我们研究了一个系统中的独立布朗粒子在一个闪烁的棘轮势,可以打开或关闭取决于粒子的位置,其目的是最大限度地提高速度的质心在长期运行。首先,解释了如何找到最优协议使用贝尔曼的最优性原则的任何数量的粒子。然后对2粒子系统进行数值求解。仿真结果表明,最佳协议的性能优于最大化的瞬时质心速度,一个协议,以提供更好的结果为2个粒子比任何开环协议。

英文摘要:

We study a system of independent Brownian particles in a flashing ratchet potential that can be turned on or off depending on the position of the particles, with the aim of maximising the speed of the center of mass in the long run. First, an explanation on how to find the optimal protocol using Bellman's principle of optimality for any number of particles is given. Then the problem is numerically solved for a system of 2 particles. Simulations show that the optimal protocol performs better than the maximisation of instantaneous center-of-mass speed, a protocol known to give better results for 2 particles than any open-loop protocol.

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