Hajnal D, Fuchs M
Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany.
Eur Phys J E Soft Matter. 2009 Feb;28(2):125-38. doi: 10.1140/epje/i2008-10361-0.
The flow curves, viz. the curves of stationary stress under steady shearing, are obtained close to the glass transition in dense colloidal dispersions using asymptotic expansions in the schematic F₁₂(γ)-model of mode coupling theory. The shear thinning of the viscosity in fluid states and the yielding of glassy states is discussed. At the transition between fluid and shear-molten glass, simple and generalized Herschel-Bulkley laws are derived with power law exponents that can be computed for different particle interactions from the equilibrium structure factor.
利用模式耦合理论的示意性F₁₂(γ)模型中的渐近展开，在致密胶体分散体系中接近玻璃化转变处获得了流动曲线，即稳态剪切下的稳态应力曲线。讨论了流体状态下粘度的剪切变稀和玻璃态的屈服。在流体和剪切熔融玻璃之间的转变处，推导了简单和广义的赫谢尔-布尔克利定律，其幂律指数可根据平衡结构因子针对不同的粒子相互作用进行计算。
