Spontaneous chirality via long-range electrostatic forces

Kevin L. Kohlstedt*, Francisco J. Solis, Graziano Vernizzi, Monica Olvera De La Cruz

*Corresponding author for this work

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

We consider a model for periodic patterns of charges constrained over a cylindrical surface. In particular we focus on patterns of chiral helices, achiral rings, or vertical lamellae, with the constraint of global electroneutrality. We study the dependence of the patterns' size and pitch angle on the radius of the cylinder and salt concentration. We obtain a phase diagram by using numerical and analytic techniques. For pure Coulomb interactions, we find a ring phase for small radii and a chiral helical phase for large radii. At a critical salt concentration, the characteristic domain size diverges, resulting in an achiral macroscopic phase-segregated structure. We discuss possible consequences and generalizations of our model.

Original languageEnglish (US)
Article number030602
JournalPhysical review letters
Volume99
Issue number3
DOIs
StatePublished - Jul 19 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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