Modeling of gold dispersion in glassy polymers by Smoluchowski equation

Zbigniew J. Grzywna; Jacek Stolarczyk

doi:10.1142/S0129183102004145

Modeling of gold dispersion in glassy polymers by Smoluchowski equation

Zbigniew J. Grzywna
, Jacek Stolarczyk

Katedra Fizykochemii i Technologii Polimerów (RCH/RCH4)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

6 Cytowania z bazy Scopus

Abstrakt

A unidimensional diffusion in a potential field of induced stress is considered. The way from random walk (RW) to limiting partial differential equation (Smoluchowski equation) for standard and time dependent RW is shown. A technologically important case of gold dispersion in crystallizing polymer swollen by acetone vapor is analyzed. Theoretical predictions based on Smoluchowski equation with time dependent coefficients are found to be in very good agreement with experimental data.

Język oryginału	angielski
Strony (od–do)	1301-1312
Liczba stron	12
Czasopismo	International Journal of Modern Physics C
Tom	13
Numer wydania	9
Identyfikatory DOI	https://doi.org/10.1142/S0129183102004145
Status publikacji	Opublikowano - lis 2002

Obszary tematyczne ASJC Scopus

Fizyka statystyczna i nieliniowa
Fizyka matematyczna
Ogólna fizyka i astronomia
Zastosowania informatyki
Teoria i matematyka obliczeń

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10.1142/S0129183102004145

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Cytowanie

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title = "Modeling of gold dispersion in glassy polymers by Smoluchowski equation",

abstract = "A unidimensional diffusion in a potential field of induced stress is considered. The way from random walk (RW) to limiting partial differential equation (Smoluchowski equation) for standard and time dependent RW is shown. A technologically important case of gold dispersion in crystallizing polymer swollen by acetone vapor is analyzed. Theoretical predictions based on Smoluchowski equation with time dependent coefficients are found to be in very good agreement with experimental data.",

keywords = "Gold dispersion, Nanoclusters, Random walk, Smoluchowski equation, Vapor induced crystallization",

author = "Grzywna, \{Zbigniew J.\} and Jacek Stolarczyk",

year = "2002",

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T1 - Modeling of gold dispersion in glassy polymers by Smoluchowski equation

AU - Grzywna, Zbigniew J.

AU - Stolarczyk, Jacek

PY - 2002/11

Y1 - 2002/11

N2 - A unidimensional diffusion in a potential field of induced stress is considered. The way from random walk (RW) to limiting partial differential equation (Smoluchowski equation) for standard and time dependent RW is shown. A technologically important case of gold dispersion in crystallizing polymer swollen by acetone vapor is analyzed. Theoretical predictions based on Smoluchowski equation with time dependent coefficients are found to be in very good agreement with experimental data.

AB - A unidimensional diffusion in a potential field of induced stress is considered. The way from random walk (RW) to limiting partial differential equation (Smoluchowski equation) for standard and time dependent RW is shown. A technologically important case of gold dispersion in crystallizing polymer swollen by acetone vapor is analyzed. Theoretical predictions based on Smoluchowski equation with time dependent coefficients are found to be in very good agreement with experimental data.

KW - Gold dispersion

KW - Nanoclusters

KW - Random walk

KW - Smoluchowski equation

KW - Vapor induced crystallization

UR - https://www.scopus.com/pages/publications/0036872199

U2 - 10.1142/S0129183102004145

DO - 10.1142/S0129183102004145

M3 - Article

AN - SCOPUS:0036872199

SN - 0129-1831

VL - 13

SP - 1301

EP - 1312

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

IS - 9

ER -

Modeling of gold dispersion in glassy polymers by Smoluchowski equation

Abstrakt

Obszary tematyczne ASJC Scopus

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