### Abstract

We investigated travelling waves appearing as the primary pattern-forming instability in the nematic Phase 5 (Merck) in the planar geometry in order to test the recently developed weak electrolyte model of ac-driven electroconvection [1]. Travelling waves are observed over the full conductive range of applied frequencies for three cells of different layer thickness d. We also measured the elastic constants, the electric conductivity, and the dielectric constant. The other parameters of Phase 5 are known, apart from the (relatively unimportant) viscosity ai and the two parameters of the weak electrolyte model that are proportional to the geometric mean of the mobilities, and the recombination rate, respectively. Assuming a sufficiently small recombination rate, the predicted dependence of the frequency of the travelling waves at onset (Hopf frequency) on d and on the applied frequency agreed quantitatively with the experiments, essentially without fit parameters. The absolute value of the Hopf frequency implies that the geometric mean of the mobilities amounts to 1.1 X 10~10 m2/(Vs).

Original language | English |
---|---|

Pages (from-to) | 649-661 |

Number of pages | 13 |

Journal | Journal de Physique I |

Volume | 7 |

Issue number | 4 |

Publication status | Published - 1997 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Engineering(all)

### Cite this

*Journal de Physique I*,

*7*(4), 649-661.

**Travelling waves in electroconvection of the nematic phase 5 : A test of the weak electrolyte model.** / Treiber, Martin; Eber, Nândor; Buka, A.; Kramer, Lorenz.

Research output: Contribution to journal › Article

*Journal de Physique I*, vol. 7, no. 4, pp. 649-661.

}

TY - JOUR

T1 - Travelling waves in electroconvection of the nematic phase 5

T2 - A test of the weak electrolyte model

AU - Treiber, Martin

AU - Eber, Nândor

AU - Buka, A.

AU - Kramer, Lorenz

PY - 1997

Y1 - 1997

N2 - We investigated travelling waves appearing as the primary pattern-forming instability in the nematic Phase 5 (Merck) in the planar geometry in order to test the recently developed weak electrolyte model of ac-driven electroconvection [1]. Travelling waves are observed over the full conductive range of applied frequencies for three cells of different layer thickness d. We also measured the elastic constants, the electric conductivity, and the dielectric constant. The other parameters of Phase 5 are known, apart from the (relatively unimportant) viscosity ai and the two parameters of the weak electrolyte model that are proportional to the geometric mean of the mobilities, and the recombination rate, respectively. Assuming a sufficiently small recombination rate, the predicted dependence of the frequency of the travelling waves at onset (Hopf frequency) on d and on the applied frequency agreed quantitatively with the experiments, essentially without fit parameters. The absolute value of the Hopf frequency implies that the geometric mean of the mobilities amounts to 1.1 X 10~10 m2/(Vs).

AB - We investigated travelling waves appearing as the primary pattern-forming instability in the nematic Phase 5 (Merck) in the planar geometry in order to test the recently developed weak electrolyte model of ac-driven electroconvection [1]. Travelling waves are observed over the full conductive range of applied frequencies for three cells of different layer thickness d. We also measured the elastic constants, the electric conductivity, and the dielectric constant. The other parameters of Phase 5 are known, apart from the (relatively unimportant) viscosity ai and the two parameters of the weak electrolyte model that are proportional to the geometric mean of the mobilities, and the recombination rate, respectively. Assuming a sufficiently small recombination rate, the predicted dependence of the frequency of the travelling waves at onset (Hopf frequency) on d and on the applied frequency agreed quantitatively with the experiments, essentially without fit parameters. The absolute value of the Hopf frequency implies that the geometric mean of the mobilities amounts to 1.1 X 10~10 m2/(Vs).

UR - http://www.scopus.com/inward/record.url?scp=0031118650&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031118650&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031118650

VL - 7

SP - 649

EP - 661

JO - Journal De Physique, I

JF - Journal De Physique, I

SN - 1155-4304

IS - 4

ER -