Theory of the liquid-glass transition in water

Abstract

A quantum field theory of the liquid-glass transition in water based on the two band model in the harmonic potential approximation is presented by taking into account of the hydrogen bonding effect and the polarization effect. The sound and diffusion associated with intra-band density fluctuations, and the phonons and viscocity associated with inter-band density fluctuations are calculated. The Kauzmann paradox on the Kauzmann's entropy crisis and the Vogel-Tamman-Fulcher (VTF) law on the relaxation times and the transport coefficients are elucidated from the sound instability at a reciprocal particle distance corresponding a hydrogen bond length and at the sound instability temperature very close to the Kauzmann temperature. The gap of specific heat at the glass transition temperature and the boson peaks are also presented.