Deterministic KPZ model for stromatolite laminae

M. T. Batchelor; R. V. Burne; B. I. Henry; S. D. Watt

doi:10.1016/S0378-4371(00)00077-7

Deterministic KPZ model for stromatolite laminae

M. T. Batchelor^*, R. V. Burne, B. I. Henry, S. D. Watt

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

The deterministic variant of the Kardar-Parisi-Zhang equation for the evolution of a growing interface is used to model patterning produced by successive laminations in certain stromatolites. Algebraic solutions of the model together with numerical simulations are employed to fit model parameters consistent with digital recordings of individual stromatolite laminae. Numerical values for model parameters, related to lateral growth, vertical growth and surface diffusion, provide a set of indices which may prove useful for classifying different stromatolites.

Original language	English
Pages (from-to)	123-136
Number of pages	14
Journal	Physica A: Statistical Mechanics and its Applications
Volume	282
Issue number	1
DOIs	https://doi.org/10.1016/S0378-4371(00)00077-7
Publication status	Published - 1 Jul 2000

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abstract = "The deterministic variant of the Kardar-Parisi-Zhang equation for the evolution of a growing interface is used to model patterning produced by successive laminations in certain stromatolites. Algebraic solutions of the model together with numerical simulations are employed to fit model parameters consistent with digital recordings of individual stromatolite laminae. Numerical values for model parameters, related to lateral growth, vertical growth and surface diffusion, provide a set of indices which may prove useful for classifying different stromatolites.",

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AB - The deterministic variant of the Kardar-Parisi-Zhang equation for the evolution of a growing interface is used to model patterning produced by successive laminations in certain stromatolites. Algebraic solutions of the model together with numerical simulations are employed to fit model parameters consistent with digital recordings of individual stromatolite laminae. Numerical values for model parameters, related to lateral growth, vertical growth and surface diffusion, provide a set of indices which may prove useful for classifying different stromatolites.

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Deterministic KPZ model for stromatolite laminae

Abstract

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