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

Department of Physical Chemistry and Technology of Polymers (RCH/RCH4)

Silesian University of Technology
University College Dublin

Research output: Contribution to journal › Conference article › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1595-1611
Number of pages	17
Journal	Acta Physica Polonica B
Volume	36
Issue number	5
Publication status	Published - May 2005
Event	XVII Marian Smoluchowski Symposium on Statistical Physics - Zakopane, Poland Duration: 4 Sept 2004 → 9 Sept 2004

ASJC Scopus subject areas

General Physics and Astronomy

Cite this

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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",

issn = "0587-4254",

publisher = "Jagiellonian University",

number = "5",

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

}

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

Abstract

ASJC Scopus subject areas

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