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arXiv 2007.12660cond-mat.stat-mech
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大规模非格点模拟中运动诱导临界点的普适类

Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles

Claudio Maggi, Matteo Paoluzzi, Andrea Crisanti, Emanuela Zaccarelli, Nicoletta Gnan

摘要:

我们进行大规模的计算机模拟的非晶格的二维模型的活性粒子进行运动诱导相分离(MIPS),以调查系统的临界行为接近临界点的MIPS曲线。通过对大系统尺寸的稳态配置进行采样和进行有限尺寸标度分析,我们提供了详尽的证据表明,这个活跃的系统的临界行为属于伊辛普适性类。除了缩放的观测量,也是典型的被动系统,我们研究的关键行为的两个主动阶段之间的动力学温度差。这个量在平衡时总是零,而在活性系统中显示出临界行为,该临界行为由与平均场论一致的序参量的相同指数很好地描述。

英文摘要:

We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point of the MIPS curve. By sampling steady-state configurations for large system sizes and performing finite size scaling analysis we provide exhaustive evidence that the critical behaviour of this active system belongs to the Ising universality class. In addition to the scaling observables that are also typical of passive systems, we study the critical behaviour of the kinetic temperature difference between the two active phases. This quantity, which is always zero in equilibrium, displays instead a critical behavior in the active system which is well described by the same exponent of the order parameter in agreement with mean-field theory.

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