Quantum Monte Carlo Method for Attractive Coulomb Potentials

Parallel kinetic Monte Carlo simulation of Coulomb glasses

We develop a parallel rejection algorithm to tackle the problem of low acceptance in Monte Carlo methods, and apply it to the simulation of the hopping conduction in Coulomb glasses using Graphics Processing Units, for which we also parallelize the update of local energies. In two dimensions, our parallel code achieves speedups of up to two orders of magnitude in computing time over an equivalent serial code. We find numerical evidence of a scaling relation for the relaxation of the conductivity at different temperatures.

用于粒子代码的保动量蒙特卡罗库仑碰撞方法

Moment-preserving Monte-Carlo Coulomb collision method for particle codes

本文扩展了二元配对蒙特卡罗方法以处理加权粒子的小角度库仑碰撞，并提出一种调整散射后粒子速度的新方法，从而在加权粒子相互作用时恢复动量和能量的精确守恒。

Smooth models for the Coulomb potential

Smooth model potentials with parameters selected to reproduce the spectrum of one-electron atoms are used to approximate the singular Coulomb potential. Even when the potentials do not mimic the Coulomb singularity, much of the spectrum is reproduced within the chemical accuracy. For the Hydrogen atom, the smooth approximations to the Coulomb potential are more accurate for higher angular momentum states. The transferability of the model potentials from an attractive interaction (Hydrogen atom) to a repulsive one (Harmonium and the uniform electron gas) is discussed.

Multilevel Monte Carlo simulation of Coulomb collisions

We present a new, for plasma physics, highly efficient multilevel Monte Carlo numerical method for simulating Coulomb collisions. The method separates and optimally minimizes the finite-timestep and finite-sampling errors inherent in the Langevin representation of the Landau-Fokker-Planck equation. It does so by combining multiple solutions to the underlying equations with varying numbers of timesteps. For a desired level of accuracy epsilon, the computational cost of the method is order(epsilon^{-2}) or order(epsilon^{-2} (\ln epsilon)^2), depending on the underlying discretization, Milstein …

一种 $O(\log N)$ 的蒙特卡洛方法用于周期性库仑系统

An $O(\log N)$ Monte Carlo method for periodic Coulomb systems

DMK-MC提出了一种$O(\log N)$的蒙特卡洛方法，通过双空间多级核分裂框架加速周期性库仑系统的能量计算，实现了高效的采样性能。

Numerical path integration with Coulomb potential

A simple and efficient method for quantum Monte Carlo simulation is presented, based on discretization of the action in the path integral, and a Gaussian averaging of the potential, which works well e.g. with the Coulomb potential.