Counting statistics of single molecule reaction events and reaction dynamics of a single molecule

Journal: Chemical Physics Letters, Volume 415, Issues 1–3, Pages 10–14

Author:  Jaeyoung Sung(a,b) Robert J. Silbey(a)
a. Department of Chemistry, Massachusetts Institute of Technology, Building 6-123, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
b. Department of Chemistry, Chung-Ang University, Seoul 156-756, Republic of Korea

DOI: https://doi.org/10.1016/j.cplett.2005.08.057

We present an exact form for counting statistics of single-molecule (SM) reaction events for a molecule with arbitrary hidden dynamical processes coupled to the reaction, examples of which can be found in many single biopolymer experiments. The result suggests a novel SM experimental observable, H, which can serve as a sensitive measure of the slow dynamical processes coupled to the SM reaction. For a model biopolymer reaction coupled to a slow Gaussian process, we show that H is more directly related to the dynamics of those hidden processes than other more commonly used measures.