Testing and tuning symplectic integrators for the hybrid Monte Carlo algorithm in lattice QCD.
Testing and tuning symplectic integrators for the hybrid Monte Carlo algorithm in lattice QCD.
复制标题
测试和调整格子 QCD 中混合蒙特卡罗算法的辛积分器。
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
P. de Forcrand
中科院分区：
文献类型：
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作者：
T. Takaishi;P. de Forcrand
我们研究了Omelyan等人最近发现的一个新的二阶积分器。以能量差的均方根1/2测量的新积分器的积分误差比标准二阶跳越积分器的积分误差小约10倍。因此，新积分器的步长可以增大三倍。考虑到成本增加了2倍，新的集成器比2LF集成器的效率提高了约50%。先在位置上积分，然后是动量，这比反过来更有利。进一步的参数调整是可能的。我们发现新积分器的最优参数与Omelyan等人得到的值略有不同，并且取决于仿真参数。该积分器也可用于量子蒙特卡罗中的Trotter-Suzuki分解。
We examine a new second-order integrator recently found by Omelyan et al. The integration error of the new integrator measured in the root mean square of the energy difference, 1/2, is about 10 times smaller than that of the standard second-order leapfrog (2LF) integrator. As a result, the step size of the new integrator can be made about three times larger. Taking into account a factor 2 increase in cost, the new integrator is about 50% more efficient than the 2LF integrator. Integrating over positions first, then momenta, is slightly more advantageous than the reverse. Further parameter tuning is possible. We find that the optimal parameter for the new integrator is slightly different from the value obtained by Omelyan et al, and depends on the simulation parameters. This integrator could also be advantageous for the Trotter-Suzuki decomposition in quantum Monte Carlo.