There are at least three fundamental states of matter, depending upon temperature and
pressure: gas, liquid, and solid (crystal). These states are separated by first-order phase …

Recently we proposed a two-order-parameter model of liquid to understand the liquid–glass
transition, liquid–liquid transition, and anomalies of water-type liquids in a unified manner …

Liquids are often assumed to be homogeneous and isotropic at any lengthscale and
translationally invariant. The standard liquid-state theory is constructed on the basis of this …

Tetrahedral interactions describe the behavior of the most abundant and technologically
important materials on Earth, such as water, silicon, carbon, germanium, and countless …

Here we present a simple model of water, focusing on hidden" medium-range ordering" in
water. In addition to a density order parameter ρ, we need to introduce a bond order …

We propose that the shape of the equilibrium T− P phase diagram of a liquid is strongly
correlated with the thermodynamic anomalies and the ease of vitrification. The T− P phase …

to calculate the free energy surface of the ST2 model of water as a function of density and
bond-orientational order. We perform our calculations at deeply supercooled conditions (T …

Here we demonstrate that the unusual thermodynamic behavior of water can be explained
by a simple two-order-parameter Landau-type theory naturally and physically, without …

We present a general view of a liquid-liquid phase transition, based on a simple physical
picture that there is “cooperative medium-range bond ordering” for any liquids. Contrary to …

A great success of solid state physics comes from the characterization of crystal structures in
the reciprocal (wave vector) space. The power of structural characterization in Fourier space …