Display options
Cite
Margolin G, Barkai E. Single-molecule chemical reactions: reexamination of the Kramers approach. Phys Rev E Stat Nonlin Soft Matter Phys. 2005;72(2):025101doi: 10.1103/PhysRevE.72.025101.
Margolin, G., & Barkai, E. (2005). Single-molecule chemical reactions: reexamination of the Kramers approach. Physical review. E, Statistical, nonlinear, and soft matter physics, 72(2), 025101. https://doi.org/10.1103/PhysRevE.72.025101
Margolin, G, and Barkai, E. "Single-molecule chemical reactions: reexamination of the Kramers approach." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 72,2 (2005): 025101. doi: https://doi.org/10.1103/PhysRevE.72.025101
Margolin G, Barkai E. Single-molecule chemical reactions: reexamination of the Kramers approach. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2):025101. doi: 10.1103/PhysRevE.72.025101. Epub 2005 Aug 02. PMID: 16196624.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2):025101. doi: 10.1103/PhysRevE.72.025101. Epub 2005 Aug 02.

Single-molecule chemical reactions: reexamination of the Kramers approach.

Physical review. E, Statistical, nonlinear, and soft matter physics

G Margolin, E Barkai

Affiliations

  1. Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556, USA.

PMID: 16196624 DOI: 10.1103/PhysRevE.72.025101

Abstract

Single-molecule chemical reactions yield insight into fluctuation phenomena that are obscured in the measurement of the ensemble of molecules. Kramers escape problem is investigated here in a framework suitable for single-molecule reactions. In particular we obtain distributions of escape times in simple limiting cases, rather than their mean, and investigate their sensitivity on initial conditions. Rich physical behaviors are observed: sub-Poissonian statistics when the dynamics is only slightly deviating from the Newtonian, super-Poissonian behavior when diffusion is dominating, and Poissonian behavior when Kramers original conditions hold. By varying initial conditions escape time distributions can follow a (usual) exponential or a tau(-3/2) decay, due to regular diffusion. We briefly address experimental results that yield the tau(-3/2) behavior (with cutoffs) and propose that this behavior is universal.

Publication Types