Exponential clogging time for a one dimensional DLA

Details Exponential clogging time for a one dimensional DLA Exponential clogging time for a one dimensional DLA

2007-09-09

arxiv.org/abs/0709.1276v1

Mathematics

Probability

Scientific paper

10.1007/s10955-008-9557-4

When considering DLA on a cylinder it is natural to ask how many particles it
takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we
formulate a very simple DLA clogging model and establish an exponential lower
bound on the number of particles arriving before clogging appears.

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