Optimal control of ratchets without spatial asymmetry

被引:28
作者
Chacon, Ricardo [1 ]
机构
[1] Univ Extremadura, Escuela Ingn Ind, Dept Fis Aplicada, E-06071 Badajoz, Spain
关键词
D O I
10.1088/1751-8113/40/22/F01
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This work presents the following conjecture: to optimally enhance directed transport by symmetry breaking of temporal forces there exists a particular force waveform which allows us to deduce simple scaling laws from a quantitative interpretation of Curie's principle. These scaling laws explain in a general setting previous results for a great diversity of systems subjected to a standard biharmonic force and provide a quantitative criterion to optimize the application of the ratchet effect induced by symmetry breaking of temporal forces. Mathematical arguments justifying this conjecture are discussed.
引用
收藏
页码:F413 / F419
页数:7
相关论文
共 32 条
  • [1] AJDARI A, 1994, J PHYS I, V4, P1551, DOI 10.1051/jp1:1994206
  • [2] Direct-current generation due to wave mixing in semiconductors
    Alekseev, KN
    Erementchouk, MV
    Kusmartsev, FV
    [J]. EUROPHYSICS LETTERS, 1999, 47 (05): : 595 - 600
  • [3] Highly optimized tolerance: Robustness and design in complex systems
    Carlson, JM
    Doyle, J
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (11) : 2529 - 2532
  • [4] Controlling the ratchet effect through the symmetries of the systems:: Application to molecular motors
    Chacon, Ricardo
    Quintero, Niurka R.
    [J]. BIOSYSTEMS, 2007, 88 (03) : 308 - 315
  • [5] Ratchet without spatial asymmetry for controlling the motion of magnetic flux quanta using time-asymmetric drives
    Cole, D
    Bending, S
    Savel'ev, S
    Grigorenko, A
    Tamegai, T
    Nori, F
    [J]. NATURE MATERIALS, 2006, 5 (04) : 305 - 311
  • [6] Curie P., 1894, J. Phys. Theor. Appl, V3, P393, DOI [DOI 10.1051/JPHYSTAP:018940030039300, 10.1051/jphystap:018940030039300]
  • [7] Periodically driven quantum ratchets:: Symmetries and resonances
    Denisov, S.
    Morales-Molina, L.
    Flach, S.
    Haenggi, P.
    [J]. PHYSICAL REVIEW A, 2007, 75 (06):
  • [8] Stationary Hamiltonian transport with dc bias
    Denisov, S
    Flach, S
    Hänggi, P
    [J]. EUROPHYSICS LETTERS, 2006, 74 (04): : 588 - 594
  • [9] PHASE-CONTROLLED CURRENTS IN SEMICONDUCTORS
    DUPONT, E
    CORKUM, PB
    LIU, HC
    BUCHANAN, M
    WASILEWSKI, ZR
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (18) : 3596 - 3599
  • [10] Ferrofluids as thermal ratchets -: art. no. 060602
    Engel, A
    Müller, HW
    Reimann, P
    Jung, A
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (06) : 1 - 060602