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

Abstract

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.

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

References in corpus (1)

• Long-Range Order and Interactions of Macroscopic Objects in Polar Liquids

Cited by in corpus (2)

• Experimental evidence of the ferroelectric phase transition near the $\lambda -$point in liquid water
• The interplay between liquid-liquid and ferroelectric phase transitions in supercooled water