Derivation of Stefan Problem from a One-Dimensional Exclusion Process with Speed Change

K. Tsunoda

2015, v.21, Issue 2


We consider a system of particles called an exclusion
process with speed change and study a tagged particle problem
for this particle system.
We prove a law of large numbers for a tagged particle
under the diffusive scaling.
Combining this with the result of the hydrodynamic limit,
we derive a Stefan free boundary problem in a diffusive scaling limit.

Keywords: Stefan free boundary problem, tagged particle, hydrodynamic limit, law of large numbers


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