Fractional Brownian motion of director fluctuations in nematic ordering

Z. Zhang, Ole G. Mouritsen, K. Otnes, T. Riste, Martin J. Zuckermann

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    Abstract

    Temporal director fluctuations in nematic ordering were studied by computer simulation on the Lebwohl-Lasher model as well as by neutron-scattering experiments on the nematogen d-PAA. The time-series data have been analyzed by the rescaled-range method and in terms of the power spectrum in order to determine the Hurst exponent H. Theory and experiment are in good agreement. A value of H congruent-to 1 was found for the nematic phase, characterizing fractional Brownian motion, whereas H congruent-to 0.5, reflecting ordinary Brownian motion, applies in the isotropic phase. Field-induced crossover from fractional to ordinary Brownian motion was observed in the nematic phase.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume70
    Issue number12
    Pages (from-to)1834-1837
    ISSN0031-9007
    DOIs
    Publication statusPublished - 1993

    Bibliographical note

    Copyright (1993) by the American Physical Society.

    Keywords

    • CARLO

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