Symmetry of pulsating ratchets

  • V. M. Rozenbaum
  • I. V. Shapochkina
  • Y. Teranishi
  • L. I. Trakhtenberg
Article
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Abstract

Using an exact expression for the average velocity of inertialess motion of pulsating ratchets, a simple proof is given for the recently discovered hidden space-time symmetry of Cubero–Renzoni (D.Cubero, F. Renzoni, 2016). The conditions are revealed for the absence of the ratchet effect in systems with potential energies described by products of periodic functions of coordinate and time possessing the symmetry of the main types. In particular, it is shown that the ratchet effect is absent for the time dependence of the universal symmetry type (which combines three standard symmetries), and this restriction is removed when inertia is taken into account, unless the coordinate dependence of the potential energy is related to symmetric or antisymmetric functions.

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Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  • V. M. Rozenbaum
    • 1
    • 2
    • 3
  • I. V. Shapochkina
    • 1
    • 2
    • 4
  • Y. Teranishi
    • 1
  • L. I. Trakhtenberg
    • 5
    • 6
  1. 1.Institute of PhysicsNational Chiao Tung UniversityHsinchuTaiwan
  2. 2.Institute of Atomic and Molecular SciencesAcademia SinicaTaipeiTaiwan
  3. 3.Chuiko Institute of Surface ChemistryNational Academy of Sciences of UkraineKievUkraine
  4. 4.Department of PhysicsBelarusian State UniversityMinskBelarus
  5. 5.Semenov Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia
  6. 6.State Scientific Center of Russian FederationKarpov Institute of Physical ChemistryMoscowRussia

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