Perimeter Length and Form Factor of Two-Dimensional Polymer Melts

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dc.creatorMeyer, H.
dc.creatorKreer, T.
dc.creatorAichele, M.
dc.creatorCavallo, A.
dc.creatorJohner, A.
dc.creatorBaschnagel, J.
dc.creatorWittmer, J. P.
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:38Z
dc.date.available2026-07-07T13:12:38Z
dc.descriptionSelf-avoiding polymers in two-dimensional ($d=2$) melts are known to adopt compact configurations of typical size $R(N) \sim N^{1/d}$ with $N$ being the chain length. Using molecular dynamics simulations we show that the irregular shapes of these chains are characterized by a perimeter length $L(N) \sim R(N)^{\dpm}$ of fractal dimension $\dpm = d-Θ_2 =5/4$ with $Θ_2=3/4$ being a well-known contact exponent. Due to the self-similar structure of the chains, compactness and perimeter fractality repeat for subchains of all arc-lengths $s$ down to a few monomers. The Kratky representation of the intramolecular form factor $F(q)$ reveals a strong non-monotonous behavior with $q^2F(q) \sim 1/(qN^{1/d})^{Θ_2}$ in the intermediate regime of the wavevector $q$. Measuring the scattering of labeled subchains %($s F(q) \sim L(s)$) the form factor may allow to test our predictions in real experiments.
dc.description4 pages, 4 figures, accepted for PRE Rapid Communications
dc.identifierhttps://arxiv.org/abs/0905.1002
dc.identifierhttp://arxiv.org/abs/0905.1002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229637
dc.subjectSoft Condensed Matter
dc.titlePerimeter Length and Form Factor of Two-Dimensional Polymer Melts
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