Non-equilibrium Characterization of Spinodal Points using Short Time Dynamics

TL;DR

This paper proposes a new method to identify spinodal points in systems with short-range interactions by analyzing their short time dynamical behavior, aligning with thermodynamic and pseudo-spinodal points without requiring full equilibration.

Contribution

It introduces a dynamical approach to define and locate spinodal points in short-range systems, overcoming limitations of traditional equilibrium-based methods.

Findings

Spinodal points can be identified through short time dynamics.

The method aligns with thermodynamic spinodal in mean field systems.

It provides a practical way to determine spinodal points without full equilibration.

Abstract

Though intuitively appealing, the concept of spinodal is rigourously defined only in systems with infinite range interactions (mean field systems). In short-range systems, a pseudo-spinodal can be defined by extrapolation of metastable measurements, but the point itself is not reachable because it lies beyond the metastability limit. In this work we show that a sensible definition of spinodal points can be obtained through the short time dynamical behavior of the system deep inside the metastable phase, by looking for a point where the system shows critical behavior. We show that spinodal points obtained by this method agree both with the thermodynamical spinodal point in mean field systems and with the pseudo-spinodal point obtained by extrapolation of meta-equilibrium behavior in short range systems. With this definition, a practical determination can be achieved without regard for equilibration issues.