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Deterministic Soluble Model of Coarsening

L. Frachebourg·P. L. Krapivsky
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Abstract

We investigate a 3-phase deterministic one-dimensional phase ordering model in which interfaces move ballistically and annihilate upon colliding. We determine analytically the autocorrelation function A(t). This is done by computing generalized first-passage type probabilities P_n(t) which measure the fraction of space crossed by exactly n interfaces during the time interval (0,t), and then expressing the autocorrelation function via P_n's. We further reveal the spatial structure of the system by analyzing the domain size distribution.

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L. Frachebourg, P. L. Krapivsky. 1996-07-23. Deterministic Soluble Model of Coarsening. https://doi.org/10.1103/physreve.55.252

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