MUTUAL INFLUENCE OF TRAPS ON THE DEATH OF A BROWNIAN PARTICLE

Abstract The role of many-body effects in the kinetics of diffusion-limited reactions has been studied in the simplest situation, i.e. in the case of death of a Brownian particle in two stationary traps. For this purpose, the survival probability of the particle was calculated using two methods: the traditional one, where the many-body effects are neglected, and a more precise one which allows one to take these effects into account. Comparison of the results obtained showed that neglecting many-body effects can lead to both over- and under-estimated values of the survival probability of the particle during a time interval t . The role of these effects in a more realistic situation when there are many traps is discussed.