Local mean field models of uniform to nonuniform density fluid-crystal transitions |
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Authors: | Buttà Paolo Lebowitz Joel L |
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Institution: | Dipartimento di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy. |
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Abstract: | We investigate the existence of nontranslation invariant (periodic) density profiles, for systems interacting via translation invariant long-range potentials, as minimizers of local mean field free energy functionals. The existence of a second-order transition from a uniform to a nonuniform density at a specified temperature is proven for a class of model systems. |
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