Domain Green's Function Sampling in Diffusion Monte Carlo

[摘要] We discuss the mathematical basis of sampling diffusive paths in Monte Carlo using Green's functions that are themselves built up stochastically from Green's functions in geometrical subdomains. The method of spheres is a special case. We show that other subdomains can be used as well, and may be more efficient for some applications. We include the basis for construction of such subdomain Green's functions for rectangular domains (in any number of dimensions) and cylindrical domains.

[发布日期] 2000-04-10 [发布机构] Lawrence Livermore National Laboratory

[关键词] Construction;Diffusion;Dimensions;Sampling;71 Classical And Quantum Mechanics, General Physics