메뉴 건너뛰기




Volumn 65, Issue 5, 2002, Pages

Temporal and spatial properties of fluctuations below a supercritical primary bifurcation to traveling oblique-roll electroconvection

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION; ELECTROCONVECTION; LINEAR FUNCTIONS; RELAXATION RATE;

EID: 41349112677     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051101     Document Type: Article
Times cited : (18)

References (49)
  • 8
    • 33646988542 scopus 로고    scopus 로고
    • private communication
    • By linear theory (LT) we mean that the nonlinear terms in the equations of motion (e.g., in the Boussinesq equations for RBC, see Ref. [6]) are neglected. As pointed out by J.V. Sengers (private communication), even in LT the stochastic terms in fluctuating hydrodynamics lead to mode coupling; but they do not lead to nonlinear saturation as the onset is approached from below.
    • Sengers, J.V.1
  • 10
    • 0000311695 scopus 로고
    • V.M. Zaitsev and M.I. Shliomis, Zh. Éksp. Teor. Fiz. 59, 1583 (1970) [Sov. Phys. JETP 32, 866 (1971)].
    • (1971) Sov. Phys. JETP , vol.32 , pp. 866
  • 12
    • 33646976812 scopus 로고
    • Fluctuations, Instabilities, and Phase Transitions, edited by T. Riste (Plenum, New York), Sec. 4.2
    • See R. Graham, in Fluctuations, Instabilities, and Phase Transitions, Vol. 11 of NATO Advanced Study Institute, Series B: Physics, edited by T. Riste (Plenum, New York, 1975), Sec. 4.2.
    • (1975) NATO Advanced Study Institute, Series B: Physics , vol.11
    • Graham, R.1
  • 20
    • 33646988046 scopus 로고    scopus 로고
    • For a discussion of these results, see also Ref. [6]
    • For a discussion of these results, see also Ref. [6].
  • 21
    • 0001516741 scopus 로고    scopus 로고
    • The effective noise intensity F, and thus the critical region, becomes large for RBC of a fluid near a liquid-gas critical point because small cell spacings can be used and because the thermal diffusivity (which enters into F) becomes small [see Eqs. (2.17) and (3.12c) of Ref. [12]]. This was noted also by M. Assenheimer and V. Steinberg, Europhys. News 27, 143 (1996).
    • (1996) Europhys. News , vol.27 , pp. 143
    • Assenheimer, M.1    Steinberg, V.2
  • 22
    • 5544291532 scopus 로고
    • For a review of pattern formation in liquid crystals, see L. Kramer and W. Pesch, Annu. Rev. Fluid Mech. 27, 515 (1995); W. Pesch and U. Behn, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, Lecture Notes in Physics Vol. M55, edited by F.H. Busse and S.C. Müller (Springer, New York, 1998).
    • (1995) Annu. Rev. Fluid Mech. , vol.27 , pp. 515
    • Kramer, L.1    Pesch, W.2
  • 23
    • 0003939213 scopus 로고    scopus 로고
    • Evolution of Spontaneous Structures in Dissipative Continuous Systems, edited by F.H. Busse and S.C. Müller (Springer, New York)
    • For a review of pattern formation in liquid crystals, see L. Kramer and W. Pesch, Annu. Rev. Fluid Mech. 27, 515 (1995); W. Pesch and U. Behn, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, Lecture Notes in Physics Vol. M55, edited by F.H. Busse and S.C. Müller (Springer, New York, 1998).
    • (1998) Lecture Notes in Physics , vol.M55
    • Pesch, W.1    Behn, U.2
  • 24
    • 84860921536 scopus 로고    scopus 로고
    • Ph.D. thesis, Universität Bayreuth, Bayreuth, Germany
    • F.-D. Hörner, Ph.D. thesis, Universität Bayreuth, Bayreuth, Germany, 1996.
    • (1996)
    • Hörner, F.-D.1
  • 32
    • 33646970441 scopus 로고    scopus 로고
    • note
    • For wave vectors very different from the critical wave vectors and for large ε, corrections are expected which will remove the ultraviolet divergence of the integral of Eq. (2) (for the RBC analog, see, for instance, Ref. [15]). For our work Eq. (2) is expected to be an excellent approximation.
  • 38
    • 0005874071 scopus 로고
    • edited by P.E. Cladis and P. Muhoray (Addison-Wesley, Reading, MA)
    • M. Dennin, G. Ahlers, and D.S. Cannell, in Spatio-Temporal Patterns, edited by P.E. Cladis and P. Muhoray (Addison-Wesley, Reading, MA, 1994), p. 353.
    • (1994) Spatio-temporal Patterns , pp. 353
    • Dennin, M.1    Ahlers, G.2    Cannell, D.S.3
  • 43
    • 33646968571 scopus 로고    scopus 로고
    • note
    • The light source (model LS-1-LL) was provided by Ocean Optics, Inc., 380 Main Street, Dunedin, FL 34698.
  • 44
    • 33646985278 scopus 로고    scopus 로고
    • note
    • A second cell, which was filled with the same material about 9 months after the doping of the NLC showed the same patterns at onset and the same values of conductivities.
  • 45
    • 33646967920 scopus 로고    scopus 로고
    • note
    • As a filter we used a single glass slide (Coming Micro Slides Plain) as provided by Corning Glass Works, Corning, NY 14830.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.