Numerical simulation of a coarsening two-dimensional network | Zendy

C. W. J. Beenakker | Zendy

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Numerical simulation of a coarsening two-dimensional network

Author(s) -

C. W. J. Beenakker

Publication year - 1988

Publication title -

physical review. a, general physics

Language(s) - English

Resource type - Journals

ISSN - 0556-2791

DOI - 10.1103/physreva.37.1697

Subject(s) - exponent , scaling , statistical physics , square lattice , computer simulation , materials science , grain size , lattice (music) , square root , condensed matter physics , physics , mathematics , mechanics , geometry , metallurgy , philosophy , linguistics , acoustics , ising model

Topological correlations in a coarsening two-dimensional soap froth or polycrystalline network are studied by Computer Simulation. With use of a continuum model, grain growth in very large Systems of over 10 grains can be simulated. The correlations found between the size or the number of vertices of adjacent grains are in accordance with semiempirical rules of metallurgy. The average grain size grows in proportion to the square root of time, äs predicted by mean-field theory. This result, that correlation effects do not modify the growth exponent, is consistent with dynamical scaling and agrees with simulations done on a lattice. U 1

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