Marton Balazs
Microscopic shape of shocks in a domain growth model
(35K, LaTeX 2e + .bbl file)
ABSTRACT. Considering the hydrodynamical limit of some interacting particle
systems leads to hyperbolic differential equation for the conserved
quantities, e.g. the inviscid Burgers equation for the simple exclusion
process. The physical solutions of these partial differential equations
develop discontinuities, called shocks. The microscopic structure of
these shocks is of much interest and far from being well understood. We
introduce a domain growth model in which we find a stationary (in time)
product measure for the model, as seen from a defect tracer or second
class particle, travelling with the shock. We also show that under some
natural assumptions valid for a wider class of domain growth models, no
other model has stationary product measure as seen from the moving
defect tracer.