Optimal protocol for a collective flashing ratchet

@article{Roca2014OptimalPF,
  title={Optimal protocol for a collective flashing ratchet},
  author={Francesc Wilhelmi Roca and Juan P. G. Villaluenga and Luis Dinis},
  journal={arXiv: Statistical Mechanics},
  year={2014}
}
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… 
2 Citations
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References

SHOWING 1-3 OF 3 REFERENCES
A Brownian-ratchet DNA pump with applications to single-nucleotide polymorphism genotyping
Abstract.We have fabricated a micron-scale device capable of transporting DNA oligomers using Brownian ratchets. The ratchet potential is generated by applying a voltage difference to interdigitated
Multivariable Control Theory
Multivariable Control Theory Stevenage, England
  • Peter Peregrinus
  • 1976