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Nonequilibrium steady states in sheared binary fluids

P. Stansell·K. Stratford·J. -C. Desplat·R. Adhikari·M. E. Cates
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Abstract

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite domain lengths $L_{x,y}$ in the directions ($x,y)$ of velocity and velocity gradient. Apparent scaling exponents are estimated as $L_{x}\sim\dotγ^{-2/3}$ and $L_{y}\sim\dotγ^{-3/4}$. We discuss the relative roles of diffusivity and hydrodynamics in attaining steady state.

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P. Stansell, K. Stratford, J. -C. Desplat, R. Adhikari, M. E. Cates. 2005-11-30. Nonequilibrium steady states in sheared binary fluids. https://doi.org/10.1103/physrevlett.96.085701

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