Deviations from linear theory for fluctuations below the supercritical primary bifurcation to electroconvection
Over two decades ago it was predicted that nonlinear interactions between thermally driven fluctuations in dissipative nonlinear nonequilibrium systems lead to deviations from mean-field theory. Here we report experimental observations of such deviations as a supercritical primary bifurcation is approached. We measured the mean-square director-angle fluctuations <straight theta(2)> below the bifurcation to electroconvection of two different nematic liquid crystals. For epsilon(mf) identical withV2/V(2)(c,mf)-1 less, similar-0.1 ( V is the applied voltage) we find <straight theta(2)> approximately |epsilon(mf)|(-gamma) with gamma given by linear theory (LT). Closer to the bifurcation there are deviations from LT with a smaller gamma and with V(2)(c)>V(2)(c,mf).
Scherer
MA
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106, USA.
Ahlers
G
Horner
F
Rehberg
I