López Cristóbal
Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), Campus de la Universitad de las Islas Baleares, E-07122 Palma de Mallorca, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Dec;70(6 Pt 2):066205. doi: 10.1103/PhysRevE.70.066205. Epub 2004 Dec 6.
We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists in that the effective velocity of every particle is given by the average of the external flow velocities felt by the particles located at a distance less than a typical radius, R. Numerical analysis reveals the existence of a transition to clustering depending on the parameters of the external flow and on R. A continuum description in terms of the number density of particles is derived, and a linear stability analysis of the density equation is performed in order to characterize the transitions observed in the model of interacting particles.
我们引入了一个简单的主动输运模型，用于描述由外部剪切流驱动的粒子系综。“主动”指的是粒子流会被粒子自身的分布所改变这一事实。该模型的内容是，每个粒子的有效速度由位于小于典型半径R的距离处的粒子所感受到的外部流速的平均值给出。数值分析揭示了根据外部流参数和R会出现向聚集转变的情况。我们推导了基于粒子数密度的连续介质描述，并对密度方程进行了线性稳定性分析，以表征在相互作用粒子模型中观察到的转变。
