Non-linear rheology of layered systems - a phase model approach
arXiv:0709.3883 · doi:10.1088/1742-6596/89/1/012014
Abstract
We study non-linear rheology of a simple theoretical model developed to mimic layered systems such as lamellar structures under shear. In the present work we study a 2-dimensional version of the model which exhibits a Kosterlitz-Thouless transition in equilibrium at a critical temperature Tc. While the system behaves as Newtonain fluid at high temperatures T > Tc, it exhibits shear thinning at low temperatures T < Tc. The non-linear rheology in the present model is understood as due to motions of edge dislocations and resembles the non-linear transport phenomena in superconductors by vortex motions.
10 pages, 5 figures, contribution to the conference proceeding of International Conference on Science of Friction, Irago Aichi, Japan Sept 9-13 2007
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