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

K. Tsunoda

2015, v.21, №2

ABSTRACT

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

COMMENTS

Please log in or register to leave a comment


There are no comments yet