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Volumn 94, Issue 8, 2005, Pages

Dynamics of fluctuations below a stationary bifurcation to electroconvection in the planar nematic liquid crystal N4

Author keywords

[No Author keywords available]

Indexed keywords

DECAY RATES; ELECTROCONVECTION; PLANAR NEMATIC LIQUID CRYSTAL; SUPERCRITICAL BIFURCATIONS;

EID: 18144388696     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.087802     Document Type: Article
Times cited : (8)

References (31)
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    • (1992) Physica (Amsterdam) , vol.61 D , pp. 284
    • Winkler, B.L.1    Decker, W.2    Richter, H.3    Rehberg, I.4
  • 13
    • 18144397654 scopus 로고    scopus 로고
    • note
    • Correlation times of the critical mode were determined before [2] using one-dimensional images of fluctuations of normal rolls of the NLC N-(p-methoxybenzylidene)-p-butylaniline.
  • 14
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    • M. Anisimov et al., Phys. Rev. A 41, 6749 (1990); B.I. Halperin, T.C. Lubensky, and S.K. Ma, Phys. Rev. Lett. 32, 292 (1974).
    • (1990) Phys. Rev. A , vol.41 , pp. 6749
    • Anisimov, M.1
  • 21
    • 0343908288 scopus 로고
    • Modern theory of critical phenomena
    • W. A. Benjamin, Reading, MA
    • See, for instance, S.-K. Ma, Modern Theory of Critical Phenomena, Frontiers in Physics Lecture Note Series Vol. 46 (W. A. Benjamin, Reading, MA, 1976).
    • (1976) Frontiers in Physics Lecture Note Series , vol.46
    • Ma, S.-K.1
  • 22
    • 0001730222 scopus 로고
    • See, for instance, V. M. Zaitsev and M. I. Shliomis, Zh. Eksp. Teor. Fiz. 59, 1583 (1970) [Sov. Phys. JETP 32, 866 (1971)]; R. Graham, Phys. Rev. A 10, 1762 (1974); in Fluctuations, Instabilities, and Phase Transitions, edited by T. Riste, NATO Advanced Study Institutes, Ser. B, Vol. 11 (Plenum, New York, 1975).
    • (1970) Zh. Eksp. Teor. Fiz. , vol.59 , pp. 1583
    • Zaitsev, V.M.1    Shliomis, M.I.2
  • 23
    • 0000311695 scopus 로고
    • See, for instance, V. M. Zaitsev and M. I. Shliomis, Zh. Eksp. Teor. Fiz. 59, 1583 (1970) [Sov. Phys. JETP 32, 866 (1971)]; R. Graham, Phys. Rev. A 10, 1762 (1974); in Fluctuations, Instabilities, and Phase Transitions, edited by T. Riste, NATO Advanced Study Institutes, Ser. B, Vol. 11 (Plenum, New York, 1975).
    • (1971) Sov. Phys. JETP , vol.32 , pp. 866
  • 24
    • 0016010363 scopus 로고
    • See, for instance, V. M. Zaitsev and M. I. Shliomis, Zh. Eksp. Teor. Fiz. 59, 1583 (1970) [Sov. Phys. JETP 32, 866 (1971)]; R. Graham, Phys. Rev. A 10, 1762 (1974); in Fluctuations, Instabilities, and Phase Transitions, edited by T. Riste, NATO Advanced Study Institutes, Ser. B, Vol. 11 (Plenum, New York, 1975).
    • (1974) Phys. Rev. A , vol.10 , pp. 1762
    • Graham, R.1
  • 25
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    • Fluctuations, Instabilities, and Phase Transitions, (Plenum, New York)
    • See, for instance, V. M. Zaitsev and M. I. Shliomis, Zh. Eksp. Teor. Fiz. 59, 1583 (1970) [Sov. Phys. JETP 32, 866 (1971)]; R. Graham, Phys. Rev. A 10, 1762 (1974); in Fluctuations, Instabilities, and Phase Transitions, edited by T. Riste, NATO Advanced Study Institutes, Ser. B, Vol. 11 (Plenum, New York, 1975).
    • (1975) NATO Advanced Study Institutes, Ser. B , vol.11
    • Riste, T.1
  • 26
    • 18144376526 scopus 로고    scopus 로고
    • note
    • From the viewpoint of critical phenomena the results are equivalent to those for the Gaussian model (Ref. [19]).
  • 27
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    • V.L. Ginzburg, Fiz. Tverd. Tela 2, 2031 (1960) [Sov. Phys. Solid State 2, 1824 (I960)]. See also Ref. [19].
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    • Ginzburg, V.L.1
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    • See also Ref. [19]
    • V.L. Ginzburg, Fiz. Tverd. Tela 2, 2031 (1960) [Sov. Phys. Solid State 2, 1824 (I960)]. See also Ref. [19].
    • (1960) Sov. Phys. Solid State , vol.2 , pp. 1824
  • 30
    • 18144364147 scopus 로고    scopus 로고
    • note
    • Since the cutoff frequency is well above 8 kHz, our measurements are in the range of overturning convection and one expects the deterministic hydrodynamic response of the system to the applied voltage to be qualitatively the same at all frequencies used by us (see, e.g., Ref. [18]).


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