113 research outputs found
The role of the quantum dispersion in the Coulomb correction of Bose-Einstein correlations
The time dependent Schroedinger equation for two identical and charged pions
is solved using wavepacket states. It is shown that the expected Coulomb
distortion in the momentum correlation function is obliterated by the
dispersion of the localized states, and therefore becomes unobservable.Comment: 10 pages, LaTeX, 2 figures, 0.2 Mb postscript, submitted to Phys.
Lett.
Facilitated diffusion of DNA-binding proteins: Simulation of large systems
The recently introduced method of excess collisions (MEC) is modified to
estimate diffusion-controlled reaction times inside systems of arbitrary size.
The resulting MEC-E equations contain a set of empirical parameters, which have
to be calibrated in numerical simulations inside a test system of moderate
size. Once this is done, reaction times of systems of arbitrary dimensions are
derived by extrapolation, with an accuracy of 10 to 15 percent. The achieved
speed up, when compared to explicit simulations of the reaction process, is
increasing proportional to the extrapolated volume of the cell.Comment: 8 pages, 4 figures, submitted to J. Chem. Phy
Modelling diffusional transport in the interphase cell nucleus
In this paper a lattice model for diffusional transport of particles in the
interphase cell nucleus is proposed. Dense networks of chromatin fibers are
created by three different methods: randomly distributed, non-interconnected
obstacles, a random walk chain model, and a self avoiding random walk chain
model with persistence length. By comparing a discrete and a continuous version
of the random walk chain model, we demonstrate that lattice discretization does
not alter particle diffusion. The influence of the 3D geometry of the fiber
network on the particle diffusion is investigated in detail, while varying
occupation volume, chain length, persistence length and walker size. It is
shown that adjacency of the monomers, the excluded volume effect incorporated
in the self avoiding random walk model, and, to a lesser extent, the
persistence length, affect particle diffusion. It is demonstrated how the
introduction of the effective chain occupancy, which is a convolution of the
geometric chain volume with the walker size, eliminates the conformational
effects of the network on the diffusion, i.e., when plotting the diffusion
coefficient as a function of the effective chain volume, the data fall onto a
master curve.Comment: 9 pages, 8 figure
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