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Probability distribution of internal distances of a single polymer in good solvent

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Zeitschrift für Physik B Condensed Matter

Abstract

IfP ij(x) is the probability distribution function of the scaled distancex between two elementsi andj of a long polymer in a good solvent, it is shown by Monte Carlo calculations that\(P_{ij} (x) = B^{ - 1} x^{\Theta _s } \exp ( - x^{\delta _s } )\) is in good agreement with out data for allx (B is a normalization constant). As a model we consider the freely jointed chain consisting ofN=160 rigid links. We estimate the exponents toΘ 0=0.27±0.01, δ0=2.44±0.02 (fori=1,j=N);Θ 1=0.55±0.06, δ1=2.60±0.15 (fori=1,j=N/2);Θ 2=0.9±0.1, δ2=2.48±0.06 (fori=N/4,j=3N/4).δ 0 andΘ 0 are in agreement withδ 0=1/(1-v) andΘ 0=(γ-1)/v proposed by Fisher and des Cloiseaux respectively, but we find concerningΘ 1 andΘ 2 that our estimates differ from recent ɛ-expansion calculations, by an amount of 20–30%. We analyse the crossover between the various exponents.

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Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage, Postfach 1913, D-5170, Jülich, Federal Republic of Germany

    A. Baumgärtner

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  1. A. Baumgärtner
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Baumgärtner, A. Probability distribution of internal distances of a single polymer in good solvent. Z. Physik B - Condensed Matter 42, 265–270 (1981). https://doi.org/10.1007/BF01422032

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  • DOI: https://doi.org/10.1007/BF01422032

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