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arXiv 1102.3094cond-mat.soft
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层状流体有序化中的热和流体动力学效应

Thermal and hydrodynamic effects in the ordering of lamellar fluids

G. Gonnella, A. Lamura, A. Tiribocchi

摘要:

本文研究了具有层状有序结构的复杂流体中,当冷热锋从外壁扩散传播时的相分离现象。速度流体动力学模式考虑耦合的对流扩散方程的序参量的广义纳维-斯托克斯方程。的动力学方程进行了模拟,通过实施一个混合的方法的基础上耦合到有限差分格式的格子玻尔兹曼算法。模拟结果表明,发生的有序过程与形态取决于热锋的速度,或等效地,对热导率的值。在瞬时猝灭中,在高粘度下,体系冻结在纠缠构型中,而在低粘度下,体系由具有良好有序层的颗粒组成。通过减小λ的值,发现一个区域具有平行于热锋的非常有序的层流,在很低的λ值时,d = 2时的优选取向垂直于壁,而d = 3时远离壁时的垂直顺序丢失。

英文摘要:

Phase separation in a complex fluid with lamellar order has been studied in the case of cold thermal fronts propagating diffusively from external walls. The velocity hydrodynamic modes are taken into account by coupling the convection-diffusion equation for the order parameter to a generalised Navier-Stokes equation. The dynamical equations are simulated by implementing a hybrid method based on a lattice Boltzmann algorithm coupled to finite difference schemes. Simulations show that the ordering process occurs with morphologies depending on the speed of the thermal fronts or, equivalently, on the value of the thermal conductivity ξ. At large value of ξ, as in instantaneous quenching, the system is frozen in entangled configurations at high viscosity while consists of grains with well ordered lamellae at low viscosity. By decreasing the value of ξ, a regime with very ordered lamellae parallel to the thermal fronts is found. At very low values of ξ the preferred orientation is perpendicular to the walls in d = 2, while perpendicular order is lost moving far from the walls in d = 3.

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