English

Temporal response to harmonic driving in electroconvection

Soft Condensed Matter 2015-05-27 v1 Pattern Formation and Solitons

Abstract

The temporal evolution of the spatially periodic electroconvection (EC) patterns has been studied within the period of the driving ac voltage by monitoring the light intensity diffracted from the pattern. Measurements have been carried out on a variety of nematic systems, including those with negative dielectric and positive conductivity anisotropy, exhibiting "standard EC" (s-EC), those with both anisotropies negative exhibiting "non-standard EC" (ns-EC), as well as those with the two anisotropies positive. Theoretical predictions have been confirmed for stationary s-EC and ns-EC patterns. Transitions with Hopf bifurcation have also been studied. While traveling had no effect on the temporal evolution of dielectric s-EC, traveling conductive s-EC and ns-EC patterns exhibited a substantially altered temporal behavior with a dependence on the Hopf frequency. It has also been shown that in nematics with both anisotropies positive, the pattern develops and decays within an interval much shorter than the period, even at relatively large driving frequencies.

Keywords

Cite

@article{arxiv.1103.0898,
  title  = {Temporal response to harmonic driving in electroconvection},
  author = {Tibor Toth-Katona and Nandor Eber and Agnes Buka},
  journal= {arXiv preprint arXiv:1103.0898},
  year   = {2015}
}

Comments

19 pages, 5 figures

R2 v1 2026-06-21T17:35:11.778Z