Dynamical Monte Carlo study of equilibrium polymers: Effects of high density and ring formation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 3, 2000, Pages 2959-2966

  Milchev, A ^a   Wittmer, J P ^b   Landau, D P ^c  

^a BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

^b UNIVERSITÉ LYON 1   (France)

^c UNIVERSITY OF GEORGIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAINS; MONTE CARLO METHODS; POLYMERS; WELL DRILLING;

DENSE PACKING; ENTROPIC INTERACTIONS; EQUILIBRIUM POLYMERS; LATTICE MODELING; LATTICE MONTE CARLO; LINEAR CHAIN; RING FORMATION; SEMIDILUTE REGIME;

MOLECULAR WEIGHT DISTRIBUTION;

EID: 0001467817     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2959     Document Type: Article

References (21)

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2. The physical properties of EP and specifically GM have been reviewed briefly in Ref. 1 and more extensively in M.E. Cates and S. J. Candau, J. Phys.: Condens. Matter 2, 6869 (1990). In Ref. 1 we also review and analyze some of the older computational work on EP.
3. P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990).
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13. This problem does not arise for an algorithm with artificial dynamics such as the Potts mapping of EP problem proposed earlier [A. Milchev and D.P. Landau, Phys. Rev. E 52, 6431 (1995)] where the EP chains are mapped on spin states on a lattice and the chain connectivity is fictitious.
14. I. Gerroff, A. Milchev, W. Paul, and K. Binder, J. Phys. Chem. 98, 6526 (1993)
15. J. Phys. Chem.A. Milchev, W. Paul, and K. Binder, 99, 4786 (1993).
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17. P.N. Pusey, in Liquids, Freezing and Glass Transition, Les Houches 1989, edited by J.P. Hansen, D. Levesque and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
18. More generally, (Formula presented) might even depend explicitly on (Formula presented). This is of relevance in situations such as LP brushes where the MWD is conjugated with the density profile of the layer 10.
19. Minor corrections to Eq. (8) from the small fraction of chains that are too long for their excluded-volume interactions to be screened by the surrounding chains (under melt conditions this applies 3 to those chains whose length exceeds (Formula presented). However, this contribution is exponentially small and can be neglected.
20. J.P. Bouchaud (private communication).
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