Surface waves on polymer brushes

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We present a simple analytical method to study the deformation behavior of a grafted melt polymer brush. We calculate the change in the free energy associated with (1) small-amplitude deformations of the free surface, (2) nonuniformity in the areal density of grafted chains, and (3) deformations of the grafting surface. We obtain the same results as Fredrickson et al. 4 for long-wavelength surface modes of melt brushes if we make their approximation that all the chain free ends reside at the surface. Our method can be applied to a wide range of problems, such as the deformation of cylindrical or spherical micelles.

Original languageEnglish (US)
Pages (from-to)4772-4776
Number of pages5
JournalMacromolecules
Volume29
Issue number13
DOIs
StatePublished - Jan 1 1996

Fingerprint

Brushes
Surface waves
Polymers
Polymer melts
Micelles
Free energy
Wavelength

All Science Journal Classification (ASJC) codes

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

Cite this

Xi, Hao Wen ; Milner, Scott Thomas. / Surface waves on polymer brushes. In: Macromolecules. 1996 ; Vol. 29, No. 13. pp. 4772-4776.
@article{225e92b33e584d88aa70bdc742fd80d1,
title = "Surface waves on polymer brushes",
abstract = "We present a simple analytical method to study the deformation behavior of a grafted melt polymer brush. We calculate the change in the free energy associated with (1) small-amplitude deformations of the free surface, (2) nonuniformity in the areal density of grafted chains, and (3) deformations of the grafting surface. We obtain the same results as Fredrickson et al. 4 for long-wavelength surface modes of melt brushes if we make their approximation that all the chain free ends reside at the surface. Our method can be applied to a wide range of problems, such as the deformation of cylindrical or spherical micelles.",
author = "Xi, {Hao Wen} and Milner, {Scott Thomas}",
year = "1996",
month = "1",
day = "1",
doi = "10.1021/ma951325g",
language = "English (US)",
volume = "29",
pages = "4772--4776",
journal = "Macromolecules",
issn = "0024-9297",
publisher = "American Chemical Society",
number = "13",

}

Surface waves on polymer brushes. / Xi, Hao Wen; Milner, Scott Thomas.

In: Macromolecules, Vol. 29, No. 13, 01.01.1996, p. 4772-4776.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Surface waves on polymer brushes

AU - Xi, Hao Wen

AU - Milner, Scott Thomas

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We present a simple analytical method to study the deformation behavior of a grafted melt polymer brush. We calculate the change in the free energy associated with (1) small-amplitude deformations of the free surface, (2) nonuniformity in the areal density of grafted chains, and (3) deformations of the grafting surface. We obtain the same results as Fredrickson et al. 4 for long-wavelength surface modes of melt brushes if we make their approximation that all the chain free ends reside at the surface. Our method can be applied to a wide range of problems, such as the deformation of cylindrical or spherical micelles.

AB - We present a simple analytical method to study the deformation behavior of a grafted melt polymer brush. We calculate the change in the free energy associated with (1) small-amplitude deformations of the free surface, (2) nonuniformity in the areal density of grafted chains, and (3) deformations of the grafting surface. We obtain the same results as Fredrickson et al. 4 for long-wavelength surface modes of melt brushes if we make their approximation that all the chain free ends reside at the surface. Our method can be applied to a wide range of problems, such as the deformation of cylindrical or spherical micelles.

UR - http://www.scopus.com/inward/record.url?scp=0030171780&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030171780&partnerID=8YFLogxK

U2 - 10.1021/ma951325g

DO - 10.1021/ma951325g

M3 - Article

AN - SCOPUS:0030171780

VL - 29

SP - 4772

EP - 4776

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 13

ER -