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

Research output: Contribution to Journal › Article › Academic › peer-review

98 Downloads (Pure)

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

Access to Document

10.1007/s10955-009-9701-9

10Final published version, 572 KB

Cite this

@article{50db7ae967eb4d90a8befe532cb58703,

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.",

author = "D. Hilhorst and {van der Hout}, R. and M. Mimura and I. Ohnishi",

year = "2009",

doi = "10.1007/s10955-009-9701-9",

language = "English",

volume = "2009",

pages = "107--132",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "135",

}

TY - JOUR

T1 - A Mathematical Study of the One-Dimensional Keller and Rubinov Model for Liesegang Bands

AU - Hilhorst, D.

AU - van der Hout, R.

AU - Mimura, M.

AU - Ohnishi, I.

PY - 2009

Y1 - 2009

N2 - 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.

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

M3 - Article

VL - 2009

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

Abstract

Access to Document

Fingerprint

Cite this