P.O. Fedichev, L.I. Menshikov
(Submitted on 7 Aug 2008 (v1), last revised 20 Dec 2009 (this version, v3))
We develop a series of approximations to calculate free energy of a polar liquid. We show that long range nature of dipole interactions between the molecules leads to para-electric state instability at low temperatures and to a second-order phase transition. We establish the transition temperature, T_{c}, both within mean field and ring diagrams approximation and show that the ferro-electric transition may play an important role explaining a number of peculiar properties of supercooled water, such as weak singularity of dielectric constant as well as to a large extent anomalous density behavior. Finally we discuss the role of fluctuations, shorter range forces and establish connections with phenomenological models of polar liquids.
Comments: 5 pages, 1 eps figure, density anomaly at T=4C analysis added
Subjects: Statistical Mechanics (cond-mat.stat-mech); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:0808.0991v3 [cond-mat.stat-mech]

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