Fractional Brownian motion of director fluctuations in nematic ordering | Zendy

Z. Zhang | Zendy; Ole G. Mouritsen | Zendy; K. Otnes | Zendy; T. Riste | Zendy; Martin J. Zuckermann | Zendy

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Fractional Brownian motion of director fluctuations in nematic ordering

Author(s) -

Z. Zhang,

Ole G. Mouritsen,

K. Otnes,

T. Riste,

Martin J. Zuckermann

Publication year - 1993

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.70.1834

Subject(s) - liquid crystal , fractional brownian motion , physics , hurst exponent , brownian motion , exponent , isotropy , neutron scattering , scattering , phase (matter) , spectral density , condensed matter physics , statistical physics , quantum mechanics , mathematics , linguistics , statistics , philosophy

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≃1 was found for the nematic phase, characterizing fractional Brownian motion, whereas H≃0.5, reflecting ordinary Brownian motion, applies in the isotropic phase

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