期刊
JOURNAL OF CHEMICAL PHYSICS
卷 150, 期 6, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.5083808
关键词
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资金
- Intramural Research Program of the NIH, Center for Information Technology
- Eunice Kennedy Shriver National Institute of Child Health and Human Development
- CENTER FOR INFORMATION TECHNOLOGY [ZIACT000273] Funding Source: NIH RePORTER
- EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH & HUMAN DEVELOPMENT [ZIAHD000072] Funding Source: NIH RePORTER
We study trapping of particles diffusing in a spherical cavity with an absorbing wall containing small static spherical absorbers localized in a spherical region in the center of the cavity. The focus is on the competition between the absorbers and the cavity wall for diffusing particles. Assuming that the absorbers and, initially, the particles are uniformly distributed in the central region, we derive an expression for the particle trapping probability by the cavity wall. The expression gives this probability as a function of two dimensionless parameters: the transparency parameter, characterizing the efficiency of the particle trapping by the absorbers, and the ratio of the absorber-containing region radius to that of the cavity. This work is a generalization of a recent study by Krapivsky and Redner [J. Chem. Phys. 147, 214903 (2017)] who considered the case where the absorber-containing region occupies the entire cavity. The expression for the particle trapping probability is derived in the framework of a steady-state approach which, in our opinion, is much simpler than the time-dependent approach used in the above-mentioned study.
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