Strictly twodimensional selfavoiding walks: Thermodynamic properties revisited
 N. Schulmann,
 H. Xu,
 H. Meyer,
 P. Polińska,
 J. Baschnagel,
 J. P. Wittmer
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The density crossover scaling of various thermodynamic properties of solutions and melts of selfavoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of molecular dynamics and Monte Carlo simulations of a standard coarsegrained beadspring model. In the semidilute regime we confirm over an order of magnitude of the monomer density ρ the expected power law scaling for the interaction energy between different chains e _{ int } ∼ ρ ^{21/8}, the total pressure P ∼ ρ ^{3} and the dimensionless compressibility gT = lim_{ q→0} S(q) ∼ 1/ρ ^{2}. Various elastic contributions associated to the affine and nonaffine response to an infinitesimal strain are analyzed as functions of density and sampling time. We show how the size ξ(ρ) of the semidilute blob may be determined experimentally from the total monomer structure factor S(q) characterizing the compressibility of the solution at a given wave vector q . We comment briefly on finite persistence length effects.
 Title
 Strictly twodimensional selfavoiding walks: Thermodynamic properties revisited
 Journal

The European Physical Journal E
35:93
 Online Date
 September 2012
 DOI
 10.1140/epje/i201212093x
 Print ISSN
 12928941
 Online ISSN
 1292895X
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Soft Matter: Polymers and Polyelectrolytes
 Industry Sectors
 Authors

 N. Schulmann ^{(1)}
 H. Xu ^{(2)}
 H. Meyer ^{(1)}
 P. Polińska ^{(1)}
 J. Baschnagel ^{(1)}
 J. P. Wittmer ^{(1)}
 Author Affiliations

 1. Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, BP 84047, 67034, Strasbourg Cedex 2, France
 2. LCPA2MC, Institut Jean Barriol, Université de Lorraine & CNRS, 1 bd Arago, 57078, Metz Cedex 03, France