Technical Report CSI-0005

Dominating Effect on Spinodal Structure Behaviour of the Giant Component Cluster in Simulations of the Kawasaki Diffusion Model

K. A. Hawick

Archived: 2016

Abstract

The Kawasaki diffusion model model provides a foundation for understanding phase separation in various physical and model systems including alloys. We use a graph component labelling technique to identify and analyse the clusters formed in Monte Carlo simulations of the Kawasaki model in three dimensions after long simulation times. We provide some visually rendered snapshots of the system over its phase diagram. We find that the giant component cluster dominates the behaviour through formation of percolating string-like spinodal structures over a remarkably wide range of concentrations and quench temperatures. We discuss the emergence of this complex spatial structure and its variations in thickness, density and energy over this range.

Keywords: computational modelling; Monte Carlo simulation; computational physics; complex systems; visualisation.

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSI Notes.

BiBTeX reference:

@InProceedings{CSI-0005,
        Title = {Dominating Effect on Spinodal Structure Behaviour of the Giant Component Cluster in Simulations of the Kawasaki Diffusion Model},
        Author = {K. A. Hawick},
        Booktitle = {Proc. 14th Int. Conf. on Scientific Computing},
        Year = {2016},
        Address = {Las Vegas, USA},
        Editor = {H. Arabnia},
        Month = {25-28 July},
        Note = {ISBN: 1-60132-430-8},
        Number = {CSC3755},
        Organization = {WorldComp},
        Pages = {23-29},
        Publisher = {CSREA Press},
        Institution = {Department of Computer Science, University of Hull},
        Keywords = {computational modelling; Monte Carlo simulation; computational physics; complex systems; visualisation.},
        Owner = {kahawick},
        Timestamp = {2014.08.17},
        Type = {CSI},
        Url = {http://digital.hull.ac.uk/reports/0005/csi-0005.html}
}