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

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

3 Scopus citations

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

Access to Document

10.1142/s0217979201005258

Cite this

@article{12963114052744228275096aa8eefbf4,

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",

year = "2001",

month = mar,

day = "20",

doi = "10.1142/s0217979201005258",

language = "English",

volume = "15",

pages = "774--779",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

publisher = "World Scientific",

number = "6-7",

}

TY - JOUR

T1 - Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation

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.

UR - https://www.scopus.com/pages/publications/0035917188

U2 - 10.1142/s0217979201005258

DO - 10.1142/s0217979201005258

M3 - Article

AN - SCOPUS:0035917188

SN - 0217-9792

VL - 15

SP - 774

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this