Are Steadily Moving Crystals Unstable?
Rangan Lahiri, Sriram Ramaswamy
TL;DR
This paper investigates the stability of moving crystals in dissipative media, predicting a nonequilibrium phase transition to a clumped state above a critical Peclet number using continuum and lattice-gas models.
Contribution
It introduces a combined continuum and lattice-gas modeling approach to analyze the stability and phase transition of moving crystals in dissipative environments.
Findings
Predicts a continuous nonequilibrium phase transition to a clumped state
Identifies a critical Peclet number for instability
Provides a theoretical framework for crystal dynamics in dissipative media
Abstract
We study the dynamics of small fluctuations about the uniform state of a crystal moving through a dissipative medium, e.g. a sedimenting colloidal crystal or a moving flux lattice, using a set of continuum equations for the displacement fields, and a one-dimensional driven lattice-gas model for the coupled concentration and tilt fields. For the colloidal crystal we predict a continuous nonequilibrium phase transition to a clumped state above a critical Peclet number.
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