Mutual influence of traps on the death of a Brownian particle

✍ Scribed by A.M. Berezhkovskii; Yu.A. Makhnovskii

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 511 KB
• Volume: 175
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(90)85571-s

✦ Synopsis

The role of many-body effects in the kinetics of diffusion-limited reactions has been studied m the simplest situation, I.e. in the case ofdeath ofa Brownian particle in two stationary traps. Forthir 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 salues of the survival probability of the particle during a time interval 1. The role of these effects in a more realistic situation when there are many traps is discussed.