Abstract

We briefly review the results of experimental investigations into the effect of noise on electrohydrodynamic instabilities in nematic liquid crystals. So far, no satisfactory theoretical treatment of the observed noise-induced effects exists, apparently due to the fact that the noise is coupled to the system through two different mechanisms. By considering a simpler, but related instability, namely the Fr\'eedericksz transition, we are able to isolate one of the mechanisms. We present a theoretical treatment of the effect of colored noises on the full nonlinear problem, and make quantitative predictions concerning the behavior of the system as a function of the correlation time and the intensity of the noise.

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