Couplings, attractiveness and hydrodynamics for conservative particle systems
Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in simple exclusion. The derived markovian coupled process ( , )≥0 satisfies: (A) if 0≤0 (coordinate-wise), then for all ≥0, ≤ a.s. In this paper, we consider generalized misanthrope models which are conservative particle systems on ℤ such that, in each transition, particles...