In the thesis , we proposed a random lattice model of mea the lattice model randomly occupied by three kinds of particles , pt / c , nafion and ptfe ( poly - tetra - fluoro - ethylene ) , was generated on a computer by the means of monte carlo method . it was supposed that current was only produced on those catalysts which have not only channels of electrons via carbon but also have channels of proton via nafion . the purpose of the work , in a word , is to find how many catalysts , pt / c , with such a two - types channels 本文首先建立了质子交换膜燃料电池的膜电极的随机方格子模型，在电极模型各格点位置用montecarlo方法生成随机分布的电极粒子、 nafion粒子和聚四氟乙烯团粒，认为只有那些既有质子传输通道，又有连续的电子通道和气体扩散通道的胞元才产生有效的电流，而其余胞元不产生电流，把电极的输出电流转化成一个概率事件。
