標題: Inertial effects in adiabatically driven flashing ratchets
作者: Rozenbaum, Viktor M.
Makhnovskii, Yurii A.
Shapochkina, Irina V.
Sheu, Sheh-Yi
Yang, Dah-Yen
Lin, Sheng Hsien
應用化學系
Department of Applied Chemistry
公開日期: 19-五月-2014
摘要: We study analytically the effect of a small inertial correction on the properties of adiabatically driven flashing ratchets. Parrondo\'s lemma [J. M. R. Parrondo, Phys. Rev. E 57, 7297 (1998)] is generalized to include the inertial term so as to establish the symmetry conditions allowing directed motion (other than in the overdamped massless case) and to obtain a high-temperature expansion of the motion velocity for arbitrary potential profiles. The inertial correction is thus shown to enhance the ratchet effect at all temperatures for sawtooth potentials and at high temperatures for simple potentials described by the first two harmonics. With the special choice of potentials represented by at least the first three harmonics, the correction gives rise to the motion reversal in the high-temperature region. In the low-temperature region, inertia weakens the ratchet effect, with the exception of the on-off model, where diffusion is important. The directed motion adiabatically driven by potential sign fluctuations, though forbidden in the overdamped limit, becomes possible due to purely inertial effects in neither symmetric nor antisymmetric potentials, i.e., not for commonly used sawtooth and two-sinusoid profiles.
URI: http://dx.doi.org/10.1103/PhysRevE.89.052131
http://hdl.handle.net/11536/24710
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.89.052131
期刊: PHYSICAL REVIEW E
Volume: 89
Issue: 5
結束頁: 
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