| Numéro |
J. Phys. Colloques
Volume 40, Numéro C3, Avril 1979
7ème Congrès International sur les Cristaux Liquides
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|
|---|---|---|
| Page(s) | C3-259 - C3-262 | |
| DOI | https://doi.org/10.1051/jphyscol:1979349 | |
7ème Congrès International sur les Cristaux Liquides
J. Phys. Colloques 40 (1979) C3-259-C3-262
DOI: 10.1051/jphyscol:1979349
1 Physics Department, Kent State University, Kent OH 44242, U.S.A.
2 On sabbatical leave from : Department of Physics Ben-Gurion University of the Negev 84 120, Be'er-Sheba', Israel.
J. Phys. Colloques 40 (1979) C3-259-C3-262
DOI: 10.1051/jphyscol:1979349
SQUINT-A NONLINEAR FEATURE OF FLOW PATTERNS IN NEMATICS
SHELOMO I. BEN-ABRAHAM1, 21 Physics Department, Kent State University, Kent OH 44242, U.S.A.
2 On sabbatical leave from : Department of Physics Ben-Gurion University of the Negev 84 120, Be'er-Sheba', Israel.
Abstract
The curvature ψ of an electronematodynamic flow pattern obeys, in the steady state, the nonlinear equation ψ'' + q2 ψ - ψ3 + bψψ' = 0. The term ψψ', called squint, is studied. Squint originates in the distortion torque and the distortion stress. Squint brakes the axial inversion symmetry of a simple flow roll but preserves the reflection symmetry of a roll pair. Flow patterns are predicted to show an observable pairing of domain stripes. Terms unjustifiably discarded in the one-constant approximation are explicitly introduced. The mean angle approximation which replaces the variable coefficients q2 and b by constant mean values is also discussed and justified.