Diffusive growth of a polymer layer by in situ polymerization

J P  Wittmer; M E  Cates; A  Johner; M S  Turner

doi:10.1209/epl/i1996-00347-0

Diffusive growth of a polymer layer by in situ polymerization

J P Wittmer, M E Cates, A Johner, M S Turner

School of Physics and Astronomy

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

Abstract

We consider the growth of a polymer layer on a fiat surface in a good solvent by in situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a pseudo-brush with density phi(z) proportional to z(-2/3) and characteristic height H proportional to t(3). These results are found by combining a mean-field treatment of the diffusive growth (marginally valid in three dimensions) with a scaling theory (Flory exponent nu = 3/5) of the growing polymers. We confirm their validity by Monte Carlo simulations.

Original language	English
Pages (from-to)	397-402
Number of pages	6
Journal	European Physical Society Letters (EPL)
Volume	33
Issue number	5
DOIs	https://doi.org/10.1209/epl/i1996-00347-0
Publication status	Published - 10 Feb 1996

Access to Document

10.1209/epl/i1996-00347-0

Cite this

@article{a78b5d163e2740a4a01090a8addb07bd,

title = "Diffusive growth of a polymer layer by in situ polymerization",

abstract = "We consider the growth of a polymer layer on a fiat surface in a good solvent by in situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a pseudo-brush with density phi(z) proportional to z(-2/3) and characteristic height H proportional to t(3). These results are found by combining a mean-field treatment of the diffusive growth (marginally valid in three dimensions) with a scaling theory (Flory exponent nu = 3/5) of the growing polymers. We confirm their validity by Monte Carlo simulations.",

author = "Wittmer, {J P} and Cates, {M E} and A Johner and Turner, {M S}",

year = "1996",

month = feb,

day = "10",

doi = "10.1209/epl/i1996-00347-0",

language = "English",

volume = "33",

pages = "397--402",

journal = "European Physical Society Letters (EPL)",

issn = "0295-5075",

publisher = "IOP Publishing",

number = "5",

}

TY - JOUR

T1 - Diffusive growth of a polymer layer by in situ polymerization

AU - Wittmer, J P

AU - Cates, M E

AU - Johner, A

AU - Turner, M S

PY - 1996/2/10

Y1 - 1996/2/10

N2 - We consider the growth of a polymer layer on a fiat surface in a good solvent by in situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a pseudo-brush with density phi(z) proportional to z(-2/3) and characteristic height H proportional to t(3). These results are found by combining a mean-field treatment of the diffusive growth (marginally valid in three dimensions) with a scaling theory (Flory exponent nu = 3/5) of the growing polymers. We confirm their validity by Monte Carlo simulations.

AB - We consider the growth of a polymer layer on a fiat surface in a good solvent by in situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a pseudo-brush with density phi(z) proportional to z(-2/3) and characteristic height H proportional to t(3). These results are found by combining a mean-field treatment of the diffusive growth (marginally valid in three dimensions) with a scaling theory (Flory exponent nu = 3/5) of the growing polymers. We confirm their validity by Monte Carlo simulations.

U2 - 10.1209/epl/i1996-00347-0

DO - 10.1209/epl/i1996-00347-0

M3 - Article

SN - 0295-5075

VL - 33

SP - 397

EP - 402

JO - European Physical Society Letters (EPL)

JF - European Physical Society Letters (EPL)

IS - 5

ER -

Diffusive growth of a polymer layer by in situ polymerization

Abstract

Access to Document

Fingerprint

Cite this