Single Molecule Chemical Reaction: Kramers Approach Revisited

Details Single Molecule Chemical Reaction: Kramers Approach Revisited Single Molecule Chemical Reaction: Kramers Approach Revisited

2005-04-18

arxiv.org/abs/cond-mat/0504455v1

Physical Review E 72, 025101(R) (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.72.025101

Single molecule chemical reactions yield new insight into fluctuation phenomena which are obscured in measurement of 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 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 which yield the $\tau^{-3/2}$ behavior (with cutoffs) and propose that this behavior is universal.

Affiliated with

Also associated with

No associations

Rating

Single Molecule Chemical Reaction: Kramers Approach Revisited does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Single Molecule Chemical Reaction: Kramers Approach Revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Single Molecule Chemical Reaction: Kramers Approach Revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39404