Round 16: Tossup 10

Jean Ginibre (“zhee-NEE-bruh”) proved that this condition exists in the classical XY model, thus generalizing the Griffiths inequality for the Ising model. (-5[1])Ruelle’s method of symmetrization was used to formalize this condition in a landmark paper by Bogoliubov and Khatset, who demonstrated that the Kirkwood–Salzburg equations arise under this condition. Given a concave interaction potential under this condition, the microcanonical and canonical ensembles follow the same distribution. Under this condition, extensive variables are purely additive. (10[1]-5[2])This condition, for which fluctuations are essentially negligible, arises as a consequence of the law of large numbers (-5[1])for a multi-particle system. For 10 points, name this “limit” (10[1]-5[2])in which particle number and volume go to infinity at constant (10[1])density, thus recovering a classical field (-5[1])from statistical (10[1])mechanics. (10[1])■END■ (10[5]0[19])

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