Chiral Active Rods Simulation Data I

Simulation data of agent-based simulations of active point particles following the following overdamped Langevin dynamics: d/dt x_i= v* cos(phi_i) d/dt y_i= v* sin(phi_i) d/dt phi_i= omega + gamma*\sum_{j is neighbor of i} sin[2*(phi_j-phi_i)] + sigma*xi_i with independent Gaussian white noise xi_i. i and j are considered to be neighbors if their distance is less than R. Parameters: sigma=sqrt(2), R=1, v=1, simulation box size: Lx=Ly=sqrt(N/10), N, gamma, omega are given in the data base. Periodic boundary conditions are used. A second order discretization scheme was used to integrate the equation of motion.本数据集为基于智能体（Agent）的活性点粒子模拟所生成的仿真数据，粒子遵循下述过阻尼朗之万动力学： $$frac{mathrm{d}x_i}{mathrm{d}t} = vcos(phi_i),quad frac{mathrm{d}y_i}{mathrm{d}t} = vsin(phi_i),quad frac{mathrm{d}phi_i}{mathrm{d}t} = omega + gammasum_{j ext{为}i ext{的邻居}} sinleft[2(phi_j-phi_i) ight] + sigmaxi_i$$ 其中$xi_i$为独立高斯白噪声。当粒子$i$与$j$的间距小于$R$时，二者被判定为相邻粒子。 参数设置为：$sigma=sqrt{2}$，$R=1$，$v=1$；模拟盒尺寸满足$L_x=L_y=sqrt{N/10}$，其中$N$、$gamma$、$omega$的具体取值均已在本数据集内给出。本模拟采用周期性边界条件，并通过二阶离散格式对运动方程进行数值积分。