Abstract

We show the existence of a time evolution {Pt; t∈ℝ of a locally perturbed equilibrium state P of infinitely many particles in ℝ{suv}, v≧1, evolving under the action of the infinite Newtonian dynamics associated to the same smooth, finite range pair potential as the equilibrium state itself. Moreover, it is shown that {Pt; t∈ℝ solves the weak BBGKY hierarchy equations. The treatment of this problem will be done in the general setting of so called (Σρ) point processes developed in [11, 10] and [4] and will require the method of moments.

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