TY - JOUR
T1 - Scaling Behavior of Fluctuations in Systems with Continuous Symmetry
AU - Zürcher, Ulrich
AU - Zurcher, Ulrich
PY - 1994/5/23
Y1 - 1994/5/23
N2 - In nematic liquid crystals, director fluctuations correpond to the dynamical mode that is critical for all temperatures in zero external fields. The Hurst exponent characterizes the temporal behavior of the mean square displacement of director fluctuations, 〈[δn(r,t)-δn(r,0)]2〉∼t2H. We find H=1/2 in finite fields and H=3/4 in zero field. This result differs from that of Zhang et al. [Phys. Rev. Lett. 70, 1834 (1993)] who find a Hurst exponent that varies continuously from H≃1 in zero field to H≃1/2 in moderate fields.
AB - In nematic liquid crystals, director fluctuations correpond to the dynamical mode that is critical for all temperatures in zero external fields. The Hurst exponent characterizes the temporal behavior of the mean square displacement of director fluctuations, 〈[δn(r,t)-δn(r,0)]2〉∼t2H. We find H=1/2 in finite fields and H=3/4 in zero field. This result differs from that of Zhang et al. [Phys. Rev. Lett. 70, 1834 (1993)] who find a Hurst exponent that varies continuously from H≃1 in zero field to H≃1/2 in moderate fields.
UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/278
U2 - 10.1103/PhysRevLett.72.3367
DO - 10.1103/PhysRevLett.72.3367
M3 - Article
VL - 72
JO - Physical Review Letters
JF - Physical Review Letters
ER -