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arXiv 1206.4473cond-mat.soft
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反向驱动二元粒子混合物中的不稳定性和类turbulence动力学

Instabilities and turbulence-like dynamics in an oppositely driven binary particle mixture

Masahiro Ikeda, Hirofumi Wada, Hisao Hayakawa

摘要:

使用广泛的基于粒子的模拟,我们研究了在一个相反驱动的二进制粒子系统在二维的平衡模式动力学。研究发现,在车辆行驶过程中存在着丰富的动力学行为,包括车道形成、堵塞、振荡和类顺磁动力学等,其中两个摩擦系数的比值是决定车道形成稳定性的关键参数。当横向的外力方向的摩擦系数是足够小的纵向相比,车道结构变得不稳定的剪切引起的干扰,系统最终表现出一个新的动态过渡到一个类似的阶段,其特征在于随机对流。我们用数值方法构造了一个非平衡相图。对完全非线性湍流状相的复杂时空动力学的统计分析表明,它明显地让人想起某些活性物质系统中的蜂拥动力学。

英文摘要:

Using extensive particle-based simulations, we investigate out-of-equilibrium pattern dynamics in an oppositely driven binary particle system in two dimensions. A surprisingly rich dynamical behavior including lane formation, jamming, oscillation and turbulence-like dynamics is found. The ratio of two friction coefficients is a key parameter governing the stability of lane formation. When the friction coefficient transverse to the external force direction is sufficiently small compared to the longitudinal one, the lane structure becomes unstable to shear-induced disturbances, and the system eventually exhibits a dynamical transition into a novel turbulence-like phase characterized by random convective flows. We numerically construct an out-of-equilibrium phase diagram. Statistical analysis of complex spatio-temporal dynamics of the fully nonlinear turbulence-like phase suggests its apparent reminiscence to the swarming dynamics in certain active matter systems.

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