Critical behavior of active Brownian particles
Critical behavior of active Brownian particles
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DOI：
10.1103/physreve.98.030601
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发表时间：
2018-09-18
影响因子：
2.4
通讯作者：
Virnau, Peter
中科院分区：
文献类型：
--
作者：
Siebert, Jonathan Tammo;Dittrich, Florian;Virnau, Peter
我们研究了活性布朗粒子，作为一个需要稳定驱动的真正非平衡相变的范例。密度守恒的事实阻碍了计算机模拟中临界点的访问。我们提出了一种基于有限尺寸标度的自变量来确定临界点的方法，并成功地对二维伊辛模型进行了测试。利用这种方法，我们可以精确地确定Pe(Cr)=40(2)，Phi(Cr)=0.597(3)的二维活性布朗粒子的临界点。基于这一估计，我们研究了相应的临界指数β、γ/nu和nu。我们的结果与二维伊辛指数不相容，从而提出了一个问题，即是否存在对应的非平衡普适类。
We study active Brownian particles as a paradigm for a genuine nonequilibrium phase transition requiring steady driving. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a method based on arguments from finite-size scaling to determine critical points and successfully test it for the two-dimensional (2D) Ising model. Using this method allows us to accurately determine the critical point of two-dimensional active Brownian particles at Pe(cr) = 40(2),phi(cr) = 0.597(3). Based on this estimate, we study the corresponding critical exponents beta, gamma/nu, and nu. Our results are incompatible with the 2D Ising exponents, thus raising the question whether there exists a corresponding nonequilibrium universality class.