TY - JOUR

T1 - Ratchet driven by quasimonochromatic noise.

AU - Arrayas, M.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - McKane, A. J.

AU - Stein, N. D.

PY - 2000

Y1 - 2000

N2 - The currents generated by noise-induced activation processes in a periodic potential are investigated analytically, by digital simulation and by performing analog experiments. The noise is taken to be quasimonochromatic and the potential to be a smoothed sawtooth. Two analytic approaches are studied. The first involves a perturbative expansion in inverse powers of the frequency characterizing quasimonochromatic noise and the second is a direct numerical integration of the deterministic differential equations obtained in the limit of weak noise. These results, together with the digital and analog experiments, show that the system does indeed give rise, in general, to a net transport of particles. All techniques also show that a current reversal exists for a particular value of the noise parameters.

AB - The currents generated by noise-induced activation processes in a periodic potential are investigated analytically, by digital simulation and by performing analog experiments. The noise is taken to be quasimonochromatic and the potential to be a smoothed sawtooth. Two analytic approaches are studied. The first involves a perturbative expansion in inverse powers of the frequency characterizing quasimonochromatic noise and the second is a direct numerical integration of the deterministic differential equations obtained in the limit of weak noise. These results, together with the digital and analog experiments, show that the system does indeed give rise, in general, to a net transport of particles. All techniques also show that a current reversal exists for a particular value of the noise parameters.

U2 - 10.1103/PhysRevE.61.139

DO - 10.1103/PhysRevE.61.139

M3 - Journal article

VL - 61

SP - 139

EP - 146

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

ER -