Deterministic Soluble Model of Coarsening

Preprint

23 July 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9607167

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.

Keywords

AUTOCORRELATION FUNCTION
DETERMINISTIC SOLUBLE
PHASE DETERMINISTIC
SPATIAL STRUCTURE
DIMENSIONAL PHASE
PHASE ORDERING
SOLUBLE MODEL
INTERFACES
COARSENING
P_N'S

All Related Versions

Version 1, 1996-07-23, ArXiv
Published version: Physical Review E, 55 (1), 252.

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