The Gaussian Chain with Volume Exclusion

Aronowitz, S.; Eichinger, B. E.

doi:10.1021/ma60051a001

Cited by 15 publications

(1 citation statement)

References 3 publications

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“…-Let us consider a polymer chain, in which monomers interact with the virial coefficients W1 = B, W2..., etc. The radius of this interaction is assumed to be small (ro a), but finitein this case we may use the standard cluster expansion techniques and avoid divergences [8]. We shall assume that WP -vP, where v -rg (if there is no additional requirements for WP to be close to 0).…”

Section: The Renormalization Of the Second Virial Coef-mentioning

confidence: 99%

On the θ-behaviour of a polymer chain

Khokhlov

1977

J. Phys. France

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2014 L'application d'une méthode de développement en amas à l'étude d'une pelote polymérique montre que la présence des collisions d'ordre élevé entraîne : a) une renormalisation du coefficient du second viriel de l'interaction des monomères; b) l'existence de corrections spéciales liées au fait que la chaîne est finie. Ces corrections sont près du point 0, elles entraînent l'existence d'une région 0 finie pour des chaines finies. Le comportement 0 de polymères hétérogènes (polymères avec défauts, polymères ramifiés) est aussi considéré. Abstract. 2014 By means of a cluster expansion method it is shown that the presence of higher-order collisions in a polymeric coil leads to : a) the renormalization of the second virial coefficient of monomer interaction; b) the existence of specific corrections due to chain finiteness which are the main corrections near the 03B8-point. These corrections lead to the existence of a finite 03B8-region for finite chains. The 03B8-behaviour of inhomogeneous polymers (polymers with defects, branched polymers) is also discussed.

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Section: The Renormalization Of the Second Virial Coef-mentioning

confidence: 99%

On the θ-behaviour of a polymer chain

Khokhlov

1977

J. Phys. France

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Some remarks on excluded volume and on intrinsic viscosity plots

Stockmayer

1977

Brit. Poly. J.

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A simple (2,2) Pad; approximant based on the first three terms in the asymptotic cluster series for the expansion factor a 2 ( z ) is shown to give fairly good values over the entire positive range of the interaction parameter z. In a separate discussion it is shown by a specific example that extrapolations of viscosity data in good solvents and based on excluded-volume relations for flexible chains must be used only with great caution.

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Application of the padé approximant method to excluded volume effects in polymer chains

Tanaka

1979

J. Polym. Sci. Polym. Phys. Ed.

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The Gaussian Chain with Volume Exclusion

Cited by 15 publications

References 3 publications

On the θ-behaviour of a polymer chain

On the θ-behaviour of a polymer chain

Some remarks on excluded volume and on intrinsic viscosity plots

Application of the padé approximant method to excluded volume effects in polymer chains

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