Broken symmetries and directed collective energy transport in spatially extended systems

S. Flach, Yaroslav Zolotaryuk, A. E. Miroshnichenko, M. V. Fistul

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    Abstract

    We study the appearance of directed energy current in homogeneous spatially extended systems coupled to a heat bath in the presence of an external ac field E(t) . The systems are described by nonlinear field equations. By making use of a symmetry analysis, we predict the right choice of E(t) and obtain directed energy transport for systems with a nonzero topological charge Q . We demonstrate that the symmetry properties of motion of topological solitons (kinks and antikinks) are equivalent to the ones for the energy current. Numerical simulations confirm the predictions of the symmetry analysis and, moreover, show that the directed energy current drastically increases as the dissipation parameter alpha reduces.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume88
    Issue number18
    Pages (from-to)184101
    ISSN0031-9007
    DOIs
    Publication statusPublished - 2002

    Bibliographical note

    Copyright (2002) American Physical Society

    Keywords

    • DRIVEN
    • THERMAL RATCHETS
    • JOSEPHSON-JUNCTION
    • RECTIFICATION
    • OSCILLATORS
    • DYNAMICS
    • MOTORS

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