Abstract

Recent experiments and computer simulations have revealed intriguing phenomenological fingerprints of the interference between the ordinary equilibrium gas-liquid phase transition and the non-equilibrium glass and gel transitions. We thus now know, for example, that the liquid-gas spinodal line and the glass transition loci intersect at a finite temperature and density, that when the gel and the glass transitions meet, mechanisms for multistep relaxation emerge, and that the formation of gels exhibits puzzling latency effects. In this work we demonstrate that the kinetic perspective of the non-equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory of irreversible processes in liquids provides a unifying first-principles microscopic theoretical framework to describe these and other phenomena associated with spinodal decomposition, gelation, glass transition, and their combinations. The resulting scenario is in reality the competition between two kinetically limiting behaviors, associated with the two distinct dynamic arrest transitions in which the liquid-glass line is predicted to bifurcate at low densities, below its intersection with the spinodal line.

Highlights

  • Recent experiments and computer simulations have revealed intriguing phenomenological fingerprints of the interference between the ordinary equilibrium gas-liquid phase transition and the nonequilibrium glass and gel transitions

  • Complementing the recent study of the evolution of the non-equilibrium structure factor S(k; tw)[21], in this paper we shall discuss the full solution of the referred NE-SCGLE equations at all waiting times tw, but focusing on the kinetics of the non-equilibrium dynamic properties

  • The kinetic and dynamical fingerprint of these materials, which we identify with gels, is the two-step pattern of structural relaxation illustrated in Fig. 2(a) by quench 2

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Summary

Introduction

Recent experiments and computer simulations have revealed intriguing phenomenological fingerprints of the interference between the ordinary equilibrium gas-liquid phase transition and the nonequilibrium glass and gel transitions. One of the most illustrative examples is the amazing behavior observed when the ordinary equilibrium gas-liquid phase transition interferes with the non-equilibrium glass transition[10], leading to remarkable multistep relaxation processes[11,12,13] and puzzling delay (or “latency”) effects[14,15,16] during the formation of gels by arrested spinodal decomposition. The main aim of this work is to demonstrate that a microscopic statistical mechanical framework to understand this interplay between gas-liquid spinodal decomposition, gelation and the glass transition, results from a straightforward application of the non-equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory of irreversible processes in liquids[17,18] to a Lennard-Jones–like (“LJ-like”) simple liquid (pair interaction = harsh repulsion + longer-ranged attraction). There we write in detail the self-consistent system of equations (Eqs (SM6)–(SM11)) that summarizes the simplest approximate version of the NE-SCGLE theory employed in this and in previous studies[18,19,20,21,22]

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