Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation

Leonid Kalachev; Hisao Morimoto; Toru Maekawa

doi:10.1142/s0217979201005258

Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation

Leonid Kalachev, Hisao Morimoto, Toru Maekawa

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Abstract

We derived a scaling relation in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation and obtained the relation between the scaling exponents and the control parameter. The power laws in cluster-cluster aggregations derived from the scaling relations agreed with those of ferromagnetic colloidal particles obtained by a numerical calculation.

Original language	English
Pages (from-to)	774-779
Number of pages	6
Journal	International Journal of Modern Physics B
Volume	15
Issue number	6-7
DOIs	https://doi.org/10.1142/s0217979201005258
State	Published - Mar 20 2001

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title = "Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation",

abstract = "We derived a scaling relation in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation and obtained the relation between the scaling exponents and the control parameter. The power laws in cluster-cluster aggregations derived from the scaling relations agreed with those of ferromagnetic colloidal particles obtained by a numerical calculation.",

author = "Leonid Kalachev and Hisao Morimoto and Toru Maekawa",

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AU - Kalachev, Leonid

AU - Morimoto, Hisao

AU - Maekawa, Toru

PY - 2001/3/20

Y1 - 2001/3/20

N2 - We derived a scaling relation in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation and obtained the relation between the scaling exponents and the control parameter. The power laws in cluster-cluster aggregations derived from the scaling relations agreed with those of ferromagnetic colloidal particles obtained by a numerical calculation.

AB - We derived a scaling relation in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation and obtained the relation between the scaling exponents and the control parameter. The power laws in cluster-cluster aggregations derived from the scaling relations agreed with those of ferromagnetic colloidal particles obtained by a numerical calculation.

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U2 - 10.1142/s0217979201005258

DO - 10.1142/s0217979201005258

M3 - Article

AN - SCOPUS:0035917188

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VL - 15

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EP - 779

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 6-7

ER -

Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation

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