##### Department of Mathematics,

University of California San Diego

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### Math 218 - Seminar on Mathematics for Complex Biological Systems

## Joachim Dzubiella

#### Institute of Physics, University of Freiberg

## Resonance Effects in Diffusion-Influenced Bimolecular Reactions

##### Abstract:

We investigate the influence of a stochastically fluctuating step-barrier potential on bimolecular reaction rates by analytical theory and stochastic simulations. We demonstrate that the system exhibits a ``resonant reaction'' behavior with rate enhancement if an appropriately defined fluctuation decay length is of the order of the system size. Importantly, we find that in the proximity of resonance, the standard reciprocal additivity law for diffusion and surface reaction rates is violated due to the dynamical coupling of multiple kinetic processes. Together, these findings may have implications on the correct interpretation of various kinetic reaction problems in complex systems, as, e.g., in biomolecular association or catalysis.

Hosts: Li-Tien Cheng, Bo Li, and Ruth Williams

### March 7, 2019

### 1:00 PM

### AP&M 5829

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