publication . Article . 2008

Flexible chain molecules in the marginal and concentrated regimes: universal static scaling laws and cross-over predictions.

Laso Carbajo, Manuel; Karayiannis, Nikos Ch.;
Open Access
  • Published: 07 May 2008 Journal: The Journal of Chemical Physics, volume 128, page 174,901 (issn: 0021-9606, eissn: 1089-7690, Copyright policy)
  • Publisher: AIP Publishing
  • Country: Spain
Abstract
We present predictions for the static scaling exponents and for the cross-over polymer volumetric fractions in the marginal and concentrated solution regimes. Corrections for finite chain length are made. Predictions are based on an analysis of correlated fluctuations in density and chain length, in a semigrand ensemble in which mers and solvent sites exchange identities. Cross-over volumetric fractions are found to be chain length independent to first order, although reciprocal-N corrections are also estimated. Predicted scaling exponents and cross-over regimes are compared with available data from extensive off-lattice Monte Carlo simulations [Karayiannis and ...
Subjects
free text keywords: Physical and Theoretical Chemistry, General Physics and Astronomy, Scaling, Molecule, Statistical mechanics, Cross over, Liquid theory, Statistical physics, Chemistry, First order, Monte Carlo method, Scaling law, Thermodynamics, Telecomunicaciones, Química
Related Organizations
56 references, page 1 of 4

1 P. J. Flory, Statistical Mechanics of Chain Molecules Hanser Verlag, Munich, 1989 .

2 P. G. de Gennes, Scaling Concepts in Polymer Physics Cornell University Press, Ithaca, 1980 .

3 M. Doi and S. F. Edwards, The Theory of Polymer Dynamics Clarendon, Oxford, 1989 .

4 M. Daoud, J. P. Cotton, B. Farnoux, G. Jannink, G. Sarma, H. Benoit, R. Duplessix, C. Picot, and P. G. de Gennes, Macromolecules 8, 804 1975 .

5 J. P. Cotton, M. Nierlich, F. Boué, M. Daoud, B. Farnoux, G. Jannink, R. Duplessix, and C. Picot, J. Chem. Phys. 65, 1101 1976 .

6 B. Farnoux, F. Boue, J. P. Cotton, M. Daoud, G. Jannink, M. Nierlich, and P. G. de Gennes, J. Phys. France 39, 77 1978 .

7 We follow the widespread convention of using N no subindex for a generic chain length in a scaling law. It should not cause confusion with the number of chains Ni of a particular length i.

8 W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Phys. II 1, 37 1991 .

9 P. Cifra and T. Bleha, Polymer 34, 4924 1993 .

10 A. Yethiraj and C. K. Hall, J. Chem. Phys. 96, 797 1991 ; A. Yethiraj and R. Dickman, ibid. 97, 4468 1992 .

11 A. J. Haslam, G. Jackson, and T. C. B. McLeish, J. Chem. Phys. 111, 416 1999 .

12 R. G. Larson, J. Polym. Sci., Part B: Polym. Phys. 45, 3240 2007 .

13 G. J. Fleer, M. A. Cohen Stuart, J. M. H. M. Scheutjens, T. Cosgrove, and B. Vincent, Polymers at Interfaces Chapman and Hall, London, 1993 .

14 D. W. Schaefer, Polymer 25, 387 1984 .

15 S. F. Edwards, Proc. Phys. Soc. London 88, 265 1966 .

56 references, page 1 of 4
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . 2008

Flexible chain molecules in the marginal and concentrated regimes: universal static scaling laws and cross-over predictions.

Laso Carbajo, Manuel; Karayiannis, Nikos Ch.;