arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1905.04091cond-mat.softcond-mat.stat-mech
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自推进粒子的输运系数。II。涡度涨落的数值计算和逆摄动法

Transport coefficients of self-propelled particles. II. Numerics for vorticity fluctuations and the reverse perturbation method

Arash Nikoubashman, Thomas Ihle

摘要:

在这两部分系列的第一部分中,剪切简单液体的反向扰动方法[Phys. Rev. E 59,4894(1999)]被扩展到具有时间离散随机动力学的相互作用粒子系统。为了验证,在本文(第二部分)中,反向微扰法首先应用于一个简单的动量守恒液体,通过多粒子碰撞动力学(MPCD)技术[J. Chem. Phys. 110,8605(1999)]建模。对于MPCD,测得的剪切粘度和理论预测之间的良好协议被发现。此外,本文包含应用程序的反向扰动方法的Vicsek模型的代理基于模拟[物理。75,1226(1995)]及其无度量标准版本。提取的传输系数,运动粘度$ν$和动量放大系数$λ$,进行了比较,理论预测。为了验证输运系数,格林-久保关系进行了评估,并在独立的模拟测量横向电流的相关性。不太远的过渡到集体运动,我们发现很好的协议之间的不同测量的传输系数。然而,$ν$和$1-λ$的测量值总是略高于平均场的预测,即使在大的平均自由程和状态点相当远的阈值集体运动,也就是说,在无序相。这些研究结果似乎表明,平均场假设的分子混沌是不太可靠的系统与速度对齐规则,如Vicsek模型,模型服从细致平衡,如MPCD相比。

英文摘要:

In Part I of this two-part series, the reverse perturbation method for shearing simple liquids [Phys. Rev. E 59, 4894 (1999)] was extended to systems of interacting particles with time-discrete stochastic dynamics. For verification, in this paper (Part II) the reverse perturbation method is first applied to a simple momentum-conserving liquid, modeled through the Multi-Particle Collision Dynamics (MPCD) technique [J. Chem. Phys. 110, 8605 (1999)]. For MPCD, excellent agreement between the measured shear viscosity and its theoretical prediction is found. Furthermore, this paper contains applications of the reverse perturbation method to agent-based simulations of the Vicsek-model [Phys. Rev. Lett. 75, 1226 (1995)] and its metric-free version. The extracted transport coefficients, the kinematic viscosity $ν$ and the momentum amplification coefficient $λ$, were compared to theoretical predictions. To verify the transport coefficients, Green-Kubo relations were evaluated and transverse current correlations were measured in independent simulations. Not too far to the transition to collective motion, we find excellent agreement between the different measurements of the transport coefficients. However, the measured values of $ν$ and $1-λ$ are always slightly higher than the mean-field predictions, even at large mean free paths and at state points quite far from the threshold to collective motion, that is, far in the disordered phase. These findings seem to indicate that the mean-field assumption of molecular chaos is much less reliable in systems with velocity-alignment rules such as the Vicsek model, compared to models obeying detailed balance such as MPCD.

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