Biology – Quantitative Biology – Biomolecules
Scientific paper
2008-10-14
J. Chem. Phys. 129, 165103 (2008)
Biology
Quantitative Biology
Biomolecules
10 pages, 5 figures. Journal of Chemical Physics (in press)
Scientific paper
10.1063/1.2999602
We investigate the dynamics of two interacting diffusing particles in an infinite effectively one dimensional system; the particles interact through a step-like potential of width b and height phi_0 and are allowed to pass one another. By solving the corresponding 2+1-variate Fokker-Planck equation an exact result for the two particle conditional probability density function (PDF) is obtained for arbitrary initial particle positions. From the two-particle PDF we obtain the overtake probability, i.e. the probability that the two particles has exchanged positions at time t compared to the initial configuration. In addition, we calculate the trapping probability, i.e. the probability that the two particles are trapped close to each other (within the barrier width b) at time t, which is mainly of interest for an attractive potential, phi_0<0. We also investigate the tagged particle PDF, relevant for describing the dynamics of one particle which is fluorescently labeled. Our analytic results are in excellent agreement with the results of stochastic simulations, which are performed using the Gillespie algorithm.
Ambjornsson Tobias
Silbey Robert J.
No associations
LandOfFree
Diffusion of two particles with a finite interaction potential in one dimension 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 Diffusion of two particles with a finite interaction potential in one dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion of two particles with a finite interaction potential in one dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-591637