Computational Science Technical Note CSTN-191

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Multi-Species Screening in Anti-Ferromagnetic Pair-Annihilation Model Simulations

K. A. Hawick

Archived: 2013

Abstract

Pair-annihilation process models capture the behaviour of important reactions amongst fundamental physical but also chemical systems. We develop a lattice-based pair-annihilation model based on Kawasaki exchange dynamics and with diffusion properties controlled by a lattice-gas temperature. We investigate the effect of multi-species screening in the model when anti-ferromagnetic repulsive coupling forces are used. We find a phase transition manifested by an annihilation induced population collapse around T=0.22 and an additional phase transition in the number of species present around Q=5. We describe a number of quantitative metrics based on graph component labeling and contrast the behaviours of the ferromagnetic and anti-ferromagnetic variants of the model.

Keywords: pair annihilation; simulation; complex systems; phase transition

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSTN Notes.

BiBTeX reference:

@INPROCEEDINGS{CSTN-191,
        author = {K. A. Hawick},
        title = {Multi-Species Screening in Anti-Ferromagnetic Pair-Annihilation Model
                Simulations},
        booktitle = {Proc. 10th International Conference on Scientific Computing (CSC'13)},
        year = {2013},
        number = {CSTN-191},
        pages = {CSC3420},
        address = {Las Vegas, USA},
        month = {22-25 July},
        publisher = {WorldComp},
        institution = {Computer Science,Massey University, Auckland, New Zealand},
        keywords = {pair annihilation; simulation; complex systems; phase transition},
        owner = {kahawick},
        timestamp = {2013.04.05}
}


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