Density anomaly and liquid-liquid transition from perturbation theories

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Jose B. Caballero and Antonio M. Puertas
Group of Complex Fluids Physics, Department of Applied Physics, University of Almeria, 04120 Almeria, Spain

Received 4 August 2006; published 22 November 2006

Wereport on theoretical results concerning the relation between the liquid-liquidtransition and the density anomaly for a family of ramppotentials (hard-core plus linear short range repulsion and linear longrange attraction). Using first order perturbation, we have studied theinfluence of the range of the attractive interactions, taking therepulsive part of the interaction as the reference system. Twodifferent mechanisms of liquid-liquid coexistence have been predicted: attraction andcompression. The attractive case is attributed to long ranged potentials,while the second one is obtained when the interaction isshortened. The density anomaly appears linked to regions where thetemperature derivative of the density derivative of the energy isbigger (in absolute value) than a limit. This condition isfulfilled when the range of the attractive part of thepotential is short enough.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.051506
DOI:	10.1103/PhysRevE.74.051506
PACS:	64.70.Ja; 61.20.-p; 05.20.Jj 64.70.Ja Liquid–liquid transitions 61.20.-p Structure of liquids 05.20.Jj Statistical mechanics of classical fluids YEAR: 2006
KEYWORDS:	liquid-liquid transformations, perturbation theory, liquid theory

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