Ferro-electric phase transition in a polar liquid and the nature of λ-transition in supercooled water

Details Ferro-electric phase transition in a polar liquid and the nature of λ-transition in supercooled water Ferro-electric phase transition in a polar liquid and the nature of λ-transition in supercooled water

2008-08-07

arxiv.org/abs/0808.0991v3

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 eps figure, density anomaly at T=4C analysis added

Scientific paper

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.

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