Monte Carlo Simulation Methods for External Field Effects on Diffusion-Influenced Reactions

摘要

The external field effects including gravitational, magnetic, and electric effects on diffusion-reaction systems are ubiquitous in a broad range of chemical and biological systems. However, the theoretical approaches to study those effects have been relatively rare because of their complexities. The exact analytical results have been known only for simple systems, especially in one dimension and three dimensions. On the other hand, the computer simulations can be applied to complicated systems more easily because of its flexibility. If we want to mimic the conditions in theories with simulations for external field effects, we first have to verify the consistency between theories and simulations rigorously. In this Note, we suggest the simulations methods dealing with the external field effects to predict the exact analytical results in one dimension