Electrostatic-driven pattern formation in fibers, nanotubes and pores

Francisco Solis, Graziano Vernizzi, Monica Olvera De La Cruz

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The physical properties of interfaces between media with different dielectric permittivities are modified by the adsorption of charged particles. The adsorbed charges can be arranged into self-assembled nanostructures with properties that can be controlled by, for example, varying the ionic abundance of charged species in the media separated by the interface. The presence of inhomogeneous charge distributions at interfaces between media with different dielectric permittivity is a crucial feature of many interesting physical systems including clay, biological ion channels, and DNA-carbon nanotubes complexes. We describe here a general formalism using the electrostatic Green's function to compute the optimal arrangement of charges in cylindrical geometry. This geometry serves as model for a porous medium or a fiber. We study, in particular, the electrostatic energy of charged lamellar structures that cover the cylinder. We demonstrate that, under a variety of conditions, chiral helices are the preferred structure adopted by the lamellar system. These helices are more prominent in systems with higher permittivity in the interior of a tube separating two media, such as in porous media and ion channels, than in fibers with low dielectric interiors in aqueous media. We also analyze the effect of line tension on the surface pattern that competes with the charge-accumulation penalty upon the adsorption of polyions with hydrophobic groups.

Original languageEnglish (US)
Pages (from-to)1456-1466
Number of pages11
JournalSoft Matter
Volume7
Issue number4
DOIs
StatePublished - Feb 21 2011

Fingerprint

Nanotubes
Electrostatics
nanotubes
Permittivity
electrostatics
porosity
Ion Channels
fibers
Porous materials
Fibers
Adsorption
Carbon Nanotubes
Lamellar structures
Geometry
Charge distribution
Charged particles
Green's function
permittivity
Nanostructures
helices

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

Electrostatic-driven pattern formation in fibers, nanotubes and pores. / Solis, Francisco; Vernizzi, Graziano; Olvera De La Cruz, Monica.

In: Soft Matter, Vol. 7, No. 4, 21.02.2011, p. 1456-1466.

Research output: Contribution to journalArticle

Solis, Francisco ; Vernizzi, Graziano ; Olvera De La Cruz, Monica. / Electrostatic-driven pattern formation in fibers, nanotubes and pores. In: Soft Matter. 2011 ; Vol. 7, No. 4. pp. 1456-1466.
@article{8f433f0bf5eb415cbf5d0cefc05ece65,
title = "Electrostatic-driven pattern formation in fibers, nanotubes and pores",
abstract = "The physical properties of interfaces between media with different dielectric permittivities are modified by the adsorption of charged particles. The adsorbed charges can be arranged into self-assembled nanostructures with properties that can be controlled by, for example, varying the ionic abundance of charged species in the media separated by the interface. The presence of inhomogeneous charge distributions at interfaces between media with different dielectric permittivity is a crucial feature of many interesting physical systems including clay, biological ion channels, and DNA-carbon nanotubes complexes. We describe here a general formalism using the electrostatic Green's function to compute the optimal arrangement of charges in cylindrical geometry. This geometry serves as model for a porous medium or a fiber. We study, in particular, the electrostatic energy of charged lamellar structures that cover the cylinder. We demonstrate that, under a variety of conditions, chiral helices are the preferred structure adopted by the lamellar system. These helices are more prominent in systems with higher permittivity in the interior of a tube separating two media, such as in porous media and ion channels, than in fibers with low dielectric interiors in aqueous media. We also analyze the effect of line tension on the surface pattern that competes with the charge-accumulation penalty upon the adsorption of polyions with hydrophobic groups.",
author = "Francisco Solis and Graziano Vernizzi and {Olvera De La Cruz}, Monica",
year = "2011",
month = "2",
day = "21",
doi = "10.1039/c0sm00706d",
language = "English (US)",
volume = "7",
pages = "1456--1466",
journal = "Soft Matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "4",

}

TY - JOUR

T1 - Electrostatic-driven pattern formation in fibers, nanotubes and pores

AU - Solis, Francisco

AU - Vernizzi, Graziano

AU - Olvera De La Cruz, Monica

PY - 2011/2/21

Y1 - 2011/2/21

N2 - The physical properties of interfaces between media with different dielectric permittivities are modified by the adsorption of charged particles. The adsorbed charges can be arranged into self-assembled nanostructures with properties that can be controlled by, for example, varying the ionic abundance of charged species in the media separated by the interface. The presence of inhomogeneous charge distributions at interfaces between media with different dielectric permittivity is a crucial feature of many interesting physical systems including clay, biological ion channels, and DNA-carbon nanotubes complexes. We describe here a general formalism using the electrostatic Green's function to compute the optimal arrangement of charges in cylindrical geometry. This geometry serves as model for a porous medium or a fiber. We study, in particular, the electrostatic energy of charged lamellar structures that cover the cylinder. We demonstrate that, under a variety of conditions, chiral helices are the preferred structure adopted by the lamellar system. These helices are more prominent in systems with higher permittivity in the interior of a tube separating two media, such as in porous media and ion channels, than in fibers with low dielectric interiors in aqueous media. We also analyze the effect of line tension on the surface pattern that competes with the charge-accumulation penalty upon the adsorption of polyions with hydrophobic groups.

AB - The physical properties of interfaces between media with different dielectric permittivities are modified by the adsorption of charged particles. The adsorbed charges can be arranged into self-assembled nanostructures with properties that can be controlled by, for example, varying the ionic abundance of charged species in the media separated by the interface. The presence of inhomogeneous charge distributions at interfaces between media with different dielectric permittivity is a crucial feature of many interesting physical systems including clay, biological ion channels, and DNA-carbon nanotubes complexes. We describe here a general formalism using the electrostatic Green's function to compute the optimal arrangement of charges in cylindrical geometry. This geometry serves as model for a porous medium or a fiber. We study, in particular, the electrostatic energy of charged lamellar structures that cover the cylinder. We demonstrate that, under a variety of conditions, chiral helices are the preferred structure adopted by the lamellar system. These helices are more prominent in systems with higher permittivity in the interior of a tube separating two media, such as in porous media and ion channels, than in fibers with low dielectric interiors in aqueous media. We also analyze the effect of line tension on the surface pattern that competes with the charge-accumulation penalty upon the adsorption of polyions with hydrophobic groups.

UR - http://www.scopus.com/inward/record.url?scp=79951483002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951483002&partnerID=8YFLogxK

U2 - 10.1039/c0sm00706d

DO - 10.1039/c0sm00706d

M3 - Article

AN - SCOPUS:79951483002

VL - 7

SP - 1456

EP - 1466

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 4

ER -