Abstract

A number of studies are in progress to elucidate the effect of low dimensions on the theory of reaction rates. These are known to change the equations describing chemical kinetics since they inhibit complete mixing of reactants. Recent work has focussed on the short time behavior of the reaction A+B=C in one dimension. We have developed a perturbation theory of the short time behavior of the reaction kinetics that predicts the rate of increase of the reaction rate. Concurrent experiments on this reaction are currently undertaken at the University of Michigan. An international meeting on non-classical reaction rates was held at NIH this year, the proceedings of which will be published as a special issue of the Journal of Statistical Physics. Work is continuing on properties of the telegrapher's equation in the presence of boundaries, motivated by work in our laboratory on quasi- elastic light scattering. Solutions to the relevant equations have been found in the presence of traps.

  Funding Agency

Agency
National Institute of Health (NIH)
Institute
Center for Information Technology (CIT)
Type
Intramural Research (Z01)
Project #
1Z01CT000024-15
Application #
3853606
Study Section
Project Start
Project End
Budget Start
Budget End
Support Year
15
Fiscal Year
1991
Total Cost
Indirect Cost

  Institution

Name
Center for Information Technology
Department
Type
DUNS #
City
State
Country
United States
Zip Code

  Publications

Shvartsman, Stanislav Y; Coppey, Mathieu; Berezhkovskii, Alexander M (2008) Dynamics of maternal morphogen gradients in Drosophila. Curr Opin Genet Dev 18:342-7
Vazquez, Marco-Vinicio; Berezhkovskii, Alexander M; Dagdug, Leonardo (2008) Diffusion in linear porous media with periodic entropy barriers: A tube formed by contacting spheres. J Chem Phys 129:046101
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2008) Fluctuation theorem for channel-facilitated membrane transport of interacting and noninteracting solutes. J Phys Chem B 112:6228-32
Berezhkovskii, Alexander M; Weiss, George H (2008) Propagators and related descriptors for non-Markovian asymmetric random walks with and without boundaries. J Chem Phys 128:044914
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2008) Counting translocations of strongly repelling particles through single channels: fluctuation theorem for membrane transport. Phys Rev Lett 100:038104
Coppey, Mathieu; Boettiger, Alistair N; Berezhkovskii, Alexander M et al. (2008) Nuclear trapping shapes the terminal gradient in the Drosophila embryo. Curr Biol 18:915-9
Bezrukov, Sergey M; Berezhkovskii, Alexander M; Szabo, Attila (2007) Diffusion model of solute dynamics in a membrane channel: mapping onto the two-site model and optimizing the flux. J Chem Phys 127:115101
Dagdug, Leonardo; Berezhkovskii, Alexander M; Makhnovskii, Yurii A et al. (2007) Transient diffusion in a tube with dead ends. J Chem Phys 127:224712
Berezhkovskii, A M; Pustovoit, M A; Bezrukov, S M (2007) Diffusion in a tube of varying cross section: numerical study of reduction to effective one-dimensional description. J Chem Phys 126:134706
Berezhkovskii, A M; Barzykin, A V (2007) Simple formulas for the trapping rate by nonspherical absorber and capacitance of nonspherical conductor. J Chem Phys 126:106102

Showing the most recent 10 out of 32 publications