论文标题
极性自倾向颗粒的二元混合物的集体动力学中的图案形成和相变
Pattern formation and phase transition in the collective dynamics of a binary mixture of polar self-propelled particles
论文作者
论文摘要
研究了极性自螺旋体颗粒（SPP）与不同动力特性的二元混合物的集体行为。二进制混合物由固定速度$ v_s $的缓慢移动spps（SSPP）和固定速度$ v_f $的快速移动spps（fspps）组成。这些SPP通过短距离相互作用进行相互作用，无论其类型如何。在外部噪声$η$的影响下，它们按照某些位置和速度更新规则（VM）的速度移动。以$ v_f $的不同值对系统进行研究，以保留$ v_s = 0.01 $ contand，固定密度$ρ= 0.5 $。在系统中出现在广泛的噪声$η$上的不同相分离的集体模式。发现FSPP和SSPPS在稳态下具有定向相同步。我们研究了一个定向订单disorder的过渡，以改变角度噪声$η$，并确定了不同$ v_f $的关键噪声$η_c$。有趣的是，这两个物种均以$ v_f <100V_S $的持续过渡以及$ v_f> 100V_S $的不连续过渡。为连续过渡确定了一组新的关键指数。但是，由于关键指数的值取决于速度，因此发现二进制模型是非宇宙的。还研究了相互作用半径对系统行为的影响。
The collective behavior of a binary mixture of polar self-propelled particles (SPPs) with different motile properties is studied. The binary mixture consists of slow-moving SPPs (sSPPs) of fixed velocity $v_s$ and fast-moving SPPs (fSPPs) of fixed velocity $v_f$. These SPPs interact via a short-range interaction irrespective of their types. They move following certain position and velocity update rules similar to the Vicsek model (VM) under the influence of an external noise $η$. The system is studied at different values of $v_f$ keeping $v_s=0.01$ constant for a fixed density $ρ=0.5$. Different phase-separated collective patterns that appear in the system over a wide range of noise $η$ are characterized. The fSPPs and the sSPPs are found to be orientationally phase-synchronized at the steady-state. We studied an orientational order-disorder transition varying the angular noise $η$ and identified the critical noise $η_c$ for different $v_f$. Interestingly, both the species exhibit continuous transition for $v_f<100v_s$, and discontinuous transition for $v_f>100v_s$. A new set of critical exponents is determined for the continuous transitions. However, the binary model is found to be non-universal as the values of the critical exponents depend on the velocity. The effect of interaction radius on the system behavior is also studied.
