A Mathematical Study of the One-Dimensional Keller and Rubinov Model for Liesegang Bands

D. Hilhorst; R. van der Hout; M. Mimura; I. Ohnishi

doi:10.1007/s10955-009-9701-9

A Mathematical Study of the One-Dimensional Keller and Rubinov Model for Liesegang Bands

D. Hilhorst, R. van der Hout, M. Mimura, I. Ohnishi

Mathematics

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Abstract

Our purpose is to start understanding from a mathematical viewpoint experiments in which regularized structures with spatially distinct bands or rings of precipitated material are exhibited, with clearly visible scaling properties. Such patterns are known as Liesegang bands or rings. In this paper, we study a one-dimensional version of the Keller and Rubinow model and present conditions ensuring the existence of Liesegang bands.

Original language	English
Pages (from-to)	107-132
Number of pages	26
Journal	Journal of Statistical Physics
Volume	2009
Issue number	135
DOIs	https://doi.org/10.1007/s10955-009-9701-9
Publication status	Published - 2009

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title = "A Mathematical Study of the One-Dimensional Keller and Rubinov Model for Liesegang Bands",

abstract = "Our purpose is to start understanding from a mathematical viewpoint experiments in which regularized structures with spatially distinct bands or rings of precipitated material are exhibited, with clearly visible scaling properties. Such patterns are known as Liesegang bands or rings. In this paper, we study a one-dimensional version of the Keller and Rubinow model and present conditions ensuring the existence of Liesegang bands.",

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year = "2009",

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AU - Mimura, M.

AU - Ohnishi, I.

PY - 2009

Y1 - 2009

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AB - Our purpose is to start understanding from a mathematical viewpoint experiments in which regularized structures with spatially distinct bands or rings of precipitated material are exhibited, with clearly visible scaling properties. Such patterns are known as Liesegang bands or rings. In this paper, we study a one-dimensional version of the Keller and Rubinow model and present conditions ensuring the existence of Liesegang bands.

U2 - 10.1007/s10955-009-9701-9

DO - 10.1007/s10955-009-9701-9

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SP - 107

EP - 132

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 135

ER -

A Mathematical Study of the One-Dimensional Keller and Rubinov Model for Liesegang Bands

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