The dynamical rules in an auxiliary stochastic process that generate the biased ensemble of rare events are nonlocal. For the systems with one type of particles, it is shown that one can find special cases for which the transition rates of the auxiliary stochastic generator can be local. In this paper, we investigate this possibility for a system of classical hard-core particles with more than one type of particles moving on a one-dimensional lattice with open boundary conditions. We assume that the nature of interactions in the original process is local and we also assume that the original rates are constant. We will show that under certain conditions on transition rates, the auxiliary stochastic generator can be local but its transition rates depend on the site number. Two-species exclusion model is considered as an example. Considering the activity of particles of type 1 as a time-integrated observable, the above-mentioned conditions are investigated.

辅助随机过程中产生稀有事件的有偏集合的动力学规则是非局部的。对于具有一种类型的粒子的系统，表明可以找到特殊情况，在这种情况下，辅助随机生成器的转换速率可以是局部的。在本文中，我们研究了具有开放边界条件的一维晶格上移动的不止一种类型的经典硬核颗粒系统的可能性。我们假定原始过程中交互的性质是局部的，并且还假定原始速率是恒定的。我们将证明，在一定的过渡速率条件下，辅助随机生成器可以是本地的，但其过渡速率取决于站点数量。以两种物种排斥模型为例。