ar X iv : p at t - so l / 9 70 30 01 v 1 4 M ar 1 99 7 Weakly Nonlinear Analysis of Electroconvection in a Suspended Fluid Film

ar X iv : p at t - so l / 9 90 70 02 v 1 8 J ul 1 99 9 Electric Nusselt number characterization of electroconvection in nematic liquid crystals

We develop a characterization method of electroconvection structures in a planar nematic liquid crystal layer by a study of the electric current transport. Because the applied potential difference has a sinusoidal time dependence, we define two electric Nusselt numbers corresponding to the in-phase and out-of-phase components of the current. These Nusselt numbers are predicted theoretically usi...

ar X iv : s ol v - in t / 9 70 30 03 v 1 6 M ar 1 99 7 ON THE POINT TRANSFORMATIONS FOR THE SECOND ORDER DIFFERENTIAL EQUATIONS

Point transformations for the ordinary differential equations of the form y ′′ = P (x, y) + 3 Q(x, y) y ′ + 3 R(x, y) (y ′) 2 + S(x, y) (y ′) 3 are considered. Some classical results are resumed. Solution for the equivalence problem for the equations of general position is described.

ar X iv : p at t - so l / 9 70 10 05 v 1 9 J an 1 99 7 Pattern Formation from Defect Chaos — A Theory of Chevrons

For over 25 years it is known that the roll structure of electroconvection (EC) in the dielectric regime in planarly aligned nematic liquid crystals has, after a transition to defect chaos, the tendency to form chevron structures. We show, with the help of a coarse-grained model, that this effect can generally be expected for systems with spontaneously broken isotropy, that is lifted by a small...

ar X iv : q - a lg / 9 70 90 01 v 1 1 S ep 1 99 7 Bilinear identity for q - hypergeometric integrals

ar X iv : h ep - l at / 9 30 30 01 v 1 4 M ar 1 99 3 Is the Chiral Phase Transition in Non - Compact Lattice QED Driven by Monopole Condensation ?

We investigate the recent conjecture that the chiral phase transition in noncompact lattice QED is driven by monopole condensation. The comparison of analytic and numerical results shows that we have a quantitative understanding of monopoles in both the quenched and dynamical cases. We can rule out monopole condensation.