Abstract
We consider an arbitrary one-dimensional conservative particle system with finite-range interactions and finite site capacity, governed on the hydrodynamic scale by a scalar conservation law with Lipschitz-continuous flux h. A finite-size perturbation restricts the local current to some maximum value ϕ. We show that the perturbed hydrodynamic behavior is entirely determined by ϕ if inf(h;ϕ) is first nondecreasing and then nonincreasing, which we believe is a necessary condition.
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