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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2009

Perimeter length and form factor in two-dimensional polymer melts

H. Meyer
  • Fonction : Auteur
A. Johner
J. Baschnagel
J.P. Wittmer

Résumé

Self-avoiding polymers in two-dimensional ͑d =2͒ melts are known to adopt compact configurations of typical size R͑N͒ϳN 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 L͑N͒ϳR͑N͒ d p of fractal dimension d p = d − ⌰ 2 =5/ 4, with ⌰ 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 arclengths s down to a few monomers. The Kratky representation of the intramolecular form factor F͑q͒ reveals a strong nonmonotonous behavior with q 2 F͑q͒ϳ1 / ͑qN 1/d ͒ ⌰ 2 in the intermediate regime of the wave vector q. Measuring the scattering of labeled subchains the form factor may allow to test our predictions in real experiments.
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Dates et versions

hal-00430828 , version 1 (22-04-2020)

Identifiants

Citer

H. Meyer, T.T. Kreer, M. Aichele, A. Cavallo, A. Johner, et al.. Perimeter length and form factor in two-dimensional polymer melts. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 79 (5), pp.050802(R). ⟨10.1103/PhysRevE.79.050802⟩. ⟨hal-00430828⟩
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