Hydrodynamics for a non-conservative Interacting Particle System

Mathematics – Probability

Scientific paper

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21 pages

Scientific paper

We obtain the hydrodynamic limit of one-dimensional interacting particle
systems describing the macroscopic evolution of the density of mass in infinite
volume from the microscopic dynamics. The processes are weak pertubations of
the symmetric exclusion process by shift operators describing the spread of
particles around positions where new sites are created.

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