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arXiv 1902.00296cond-mat.soft
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变速自推进颗粒群中的两相分离

Binary phase separation in a collection of self-propelled particle with variable speed

Jay Prakash Singh, Shradha Mishra

摘要:

本文研究了自推进粒子二元混合物的集体行为。粒子以{ \it变速}沿其前进方向移动,并通过短程对齐相互作用进行相互作用。引入变速参数$γ>0$,使$γ=0.0$模型简化为{ \it恒速} Vicsek模型。我们将粒子与两种不同的$γ$混合,研究了不同的$γ$选择和噪声强度下混合物的稳态行为。其中一个$γ$保持固定为$1.0$,另一个从小的$0.0$变化为较大的值$8.0$。用两类序参量表征体系的性质:(i)取向序参量,它是体系有序性的度量;(ii)密度序参量,它是体系相分离的度量。对于所有的$γ$的集合,系统表现出从无序到有序状态的转变的噪声强度的变化。过渡和临界噪声的性质是独立的值的$γ$,这也支持从粗粒度的流体动力学研究。随着系统参数($γ$ 's,$η$)的变化,我们发现了四种不同的相:(i)有序相分离,(ii)有序混合,(iii)无序混合和(iv)无序相分离。我们的研究揭示了不同类型活性颗粒混合物的不同相。

英文摘要:

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter $γ>0$ is introduced such that for $γ=0.0$ model reduces to {\it constant speed} Vicsek's model. We mix the particles with two different $γ$'s and study the steady state behavior of the mixture for different choice of $γ$'s and noise strength. One of the $γ$ is kept fixed to $1.0$ and another one is varied from small $0.0$ to larger values $8.0$. Properties of system is characterise by two types of order parameters (i) orientation order parameter, which is a measure of ordering in the system and (ii) density order parameter, which measures the phase separation is the system. For all set of $γ$'s, system shows a transition from disorder-to-ordered state on the variation of noise strength. The nature of transition and critical noise is independent of value of $γ$, which is also supported from coarse-grained hydrodynamic study. On the variation of system parameters, ($γ$'s, $η$), we find four distinct phases, (i) ordered phase separated, (ii) ordered mixed, (iii) disordered mixed and (iv) disordered phase segragated. Our study shade light on different phases of mixture of different types of active particles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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