Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-07-27
Phys. Rev. E 62, 4702 (2000).
Physics
Condensed Matter
Statistical Mechanics
25 RevTeX pages, 7 EPS figures. To be published in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.62.4702
We analytically study coarsening dynamics in a system with nonconserved scalar order parameter, when a uniform time-independent shear flow is present. We use an anisotropic version of the Ohta-Jasnow-Kawasaki approximation to calculate the growth exponents in two and three dimensions: for d=3 the exponents we find are the same as expected on the basis of simple scaling arguments, that is 3/2 in the flow direction and 1/2 in all the other directions, while for d=2 we find an unusual behavior, in that the domains experience an unlimited narrowing for very large times and a nontrivial dynamical scaling appears. In addition, we consider the case where an oscillatory shear is applied to a two-dimensional system, finding in this case a standard t^1/2 growth, modulated by periodic oscillations. We support our two-dimensional results by means of numerical simulations and we propose to test our predictions by experiments on twisted nematic liquid crystals.
Bray Alan J.
Cavagna Andrea
Travasso Rui D. M.
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