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19 April 2024
 
  » arxiv » cond-mat/9909047

 Article overview


Closed form results for shape transitions in lipid monolayer domains
Jose A. Miranda ;
Date 3 Sep 1999
Journal J. Phys. Chem. B 103, 1303 (1999)
Subject Soft Condensed Matter | cond-mat.soft
AffiliationDepto. de Fisica, UFPE, Brazil
AbstractIsolated domains in lipid monolayers exhibit shape transitions as a consequence of the competing effects of line tension and long-range dipolar interactions. Nontrivial integrals ultimately arise in instability analysis calculations of these domains. In this work we present a closed form evaluation of such integrals in terms of associated Legendre functions. Our approach is motivated by and extends the work of J. M. Deutch and F. E. Low (J. Phys. Chem., 1992, 96, 7097-7101). Our closed form solutions lead to simpler analytic expressions for stability thresholds, which are easier to evaluate explicitly. Relevant asymptotic behavior is calculated in various limits of interest. For the case of Coulomb interactions, a general closed form expression is obtained for the critical domain radii.
Source arXiv, cond-mat/9909047
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