Duality of liquids

Liquids flow, making them remarkably distinct from solids and close to gases. At the same time, interactions in liquids are strong as in solids. The combination of these two properties is believed to be the ultimate obstacle to constructing a general theory of liquids. Here, we adopt a new approach to liquids: instead of focusing on the problem of strong interactions, we zero in on the relative contributions of vibrational and diffusional motion in liquids. We subsequently show that from the point of view of thermodynamics, liquid energy and specific heat are given, to a very good approximation, by their vibrational contributions as in solids, for relaxation times spanning 15 orders of magnitude. We therefore find that liquids show an interesting {\it duality} not hitherto known: they are close to solids from the thermodynamical point of view and to gases from the point of view of flow. We discuss the experimental implications of this approach.Comment: In Scientific Reports 201

Slow dynamics and stress relaxation in a liquid as an elastic medium

We propose a new framework to discuss the transition from exponential relaxation in a liquid to the regime of slow dynamics. For the purposes of stress relaxation, we show that a liquid can be treated as an elastic medium. We discuss that, on lowering the temperature, the feed-forward interaction mechanism between local relaxation events becomes operative, and results in slow relaxation.Comment: changed conten

The Vogel-Fulcher-Tamman law in the elastic theory of glass transition

We propose that the origin of the Vogel-Fulcher-Tammann law is the increase of the range of elastic interaction between local relaxation events in a liquid. In this picture, we discuss the origin of cooperativity of relaxation, the absence of divergence of relaxation time at a finite temperature and the crossover to a more Arrhenius behaviour at low temperature