Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-11-30
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.96.085701
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 $L_{x}\sim\dot{\gamma}^{-2/3}$ and $L_{y}\sim\dot{\gamma}^{-3/4}$. We discuss the relative roles of diffusivity and hydrodynamics in attaining steady state.
Adhikari Rameshwar
Cates Michael E.
Desplat Jean-Christophe
Stansell P.
Stratford Kevin
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