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arxiv: cond-mat/9607167 · v1 · submitted 1996-07-23 · ❄️ cond-mat

Deterministic Soluble Model of Coarsening

L. Frachebourg , P. L. Krapivsky This is my paper
classification ❄️ cond-mat
keywords autocorrelationdeterministicfunctioninterfacesmodelphaseanalyticallyanalyzing
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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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