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Surface width scaling in noise reduced Eden clusters

1998/04/22 by Murray T. Batchelor, M. T. Batchelor, B. I. Henry +2 · 1 citation
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.PS #patt-sol

paper · pdf · doi:10.1103/physreve.58.4023

published as Phys. Rev. E 58 (1998) 4023-4026 · 4 pages, RevTex, 3 figures

arxiv created 1998/04/22 · openalex publication_date 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The surface width scaling of Eden A clusters grown from a single aggregate site on the square lattice is investigated as a function of the noise reduction parameter. A two-exponent scaling ansatz is introduced and used to fit the results from simulations covering the range from fully stochastic to the zero-noise limit.

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