Diffusion in glassy polymers - From random walks to partial differential equations

Zbigniew J. Grzywna; Jacek K. Stolarczyk

Diffusion in glassy polymers - From random walks to partial differential equations

Zbigniew J. Grzywna
, Jacek K. Stolarczyk

Katedra Fizykochemii i Technologii Polimerów (RCH/RCH4)

Silesian University of Technology
University College Dublin

Wyniki badań: Wkład do czasopisma › Artykuł z konferencji › recenzja

12 Cytowania z bazy Scopus

Abstrakt

ID diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the "travelling waves" solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed.

Język oryginału	angielski
Strony (od–do)	1595-1611
Liczba stron	17
Czasopismo	Acta Physica Polonica B
Tom	36
Numer wydania	5
Status publikacji	Opublikowano - maj 2005
Wydarzenie	XVII Marian Smoluchowski Symposium on Statistical Physics - Zakopane, Polska Czas trwania: 4 wrz 2004 → 9 wrz 2004

Obszary tematyczne ASJC Scopus

Ogólna fizyka i astronomia

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Cytowanie

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title = "Diffusion in glassy polymers - From random walks to partial differential equations",

abstract = "ID diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the {"}travelling waves{"} solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed.",

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

year = "2005",

month = may,

language = "English",

volume = "36",

pages = "1595--1611",

journal = "Acta Physica Polonica B",

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number = "5",

note = "XVII Marian Smoluchowski Symposium on Statistical Physics ; Conference date: 04-09-2004 Through 09-09-2004",

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TY - JOUR

T1 - Diffusion in glassy polymers - From random walks to partial differential equations

AU - Grzywna, Zbigniew J.

AU - Stolarczyk, Jacek K.

PY - 2005/5

Y1 - 2005/5

N2 - ID diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the "travelling waves" solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed.

AB - ID diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the "travelling waves" solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed.

UR - https://www.scopus.com/pages/publications/33644976873

M3 - Conference article

AN - SCOPUS:33644976873

SN - 0587-4254

VL - 36

SP - 1595

EP - 1611

JO - Acta Physica Polonica B

JF - Acta Physica Polonica B

IS - 5

T2 - XVII Marian Smoluchowski Symposium on Statistical Physics

Y2 - 4 September 2004 through 9 September 2004

ER -

Diffusion in glassy polymers - From random walks to partial differential equations

Abstrakt

Obszary tematyczne ASJC Scopus

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Cytowanie