Chemical reactions and fluctuations |
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Authors: | M Schulz |
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Institution: | (1) Department of Physics, Albert-Einstein University of Ulm, 89069 Ulm, Germany |
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Abstract: | Lattice systems with one species diffusion-reaction
processes under local complete exclusion rules are studied
analytically. We discuss a rigorously derived Fokker-Planck
equation for a so-called pseudo-probability. This probability
distribution depends on continuous variables in contrast to the
original discrete master equation, and their stochastic dynamics
may be interpreted as a substitute process which is completely
equivalent to the original lattice dynamics. Especially, averages
and correlation functions of the continuous variables are
connected to corresponding lattice quantities by simple relations.
Although the substitute process for diffusion-reaction systems
with exclusion rules has some similarities to the well known
substitute process for the same system without exclusion rules,
their exist a set of remarkable differences.
The given approach is not only valid for the discussed single species
processes. We give sufficient arguments that arbitrary combinations of
uni-molecular and bimolecular lattice reactions under complete local exclusions
may be described in terms of our approach. |
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Keywords: | |
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