Kinetics of Diffusion-Controlled Reactions
Abstract
There Were three primary goals of this project. First, we elucidated fundamental aspects of the kinetics of diffusion-controlled reactions. While the rate equations provide a useful starting point for treating reaction kinetics, this approach neglects the effects of fluctuations, and these can play a dominant role in governing the kinetics in the diffusion controlled limit Thus, it is crucial to determine exactly when and in what manner fluctuations manifest themselves. A second broad goal of this project was to map out the kinetics of General Classes of aggregating and fragmenting systems. Intriguing non-universal behavior was found for aggregation processes in which there is more than one type of monomeric species. Novel steady-state properties were found in an aggregating system with localized input and output. A scaling theory was also developed to understand the kinetics of fragmentation processes. Our very general approach allowed us to classify essentially all previous results into simple universality classes. Finally the dynamics of random multiplicative processes were studied, and the role of correlations in determining statistical properties was elucidated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 1989
- Accession Number
- ADA212161
Entities
People
- Sidney Redner
Organizations
- Boston University