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

Journal of Chemical Physics

Volumn 128, Issue 17, 2008, Pages

  Laso, Manuel ^a   Karayiannis, Nikos Ch ^a  

^a Polytechnic University of Madrid   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; MONTE CARLO METHODS; SCALING LAWS; VOLUME FRACTION;

CORRELATED FLUCTUATIONS; FINITE CHAIN LENGTH; PACKING DENSITIES; RANDOM JAMMED STATE;

POLYMER BLENDS;

EID: 43149099259     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2912189     Document Type: Article

References (52)

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. Boú, 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. W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Phys. II 1, 37 (1991).
8. P. Cifra and T. Bleha, Polymer 34, 4924 (1993).
9. A. Yethiraj and C. K. Hall, J. Chem. Phys. 0021-9606 10.1063/1.462465 96, 797 (1991); A. Yethiraj and R. Dickman, J. Chem. Phys. 97, 4468 (1992).
10. A. J. Haslam, G. Jackson, and T. C. B. McLeish, J. Chem. Phys. 111, 416 (1999).
11. R. G. Larson, J. Polym. Sci., Part B: Polym. Phys. 45, 3240 (2007).
12. 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).
13. D. W. Schaefer, Polymer 25, 387 (1984).
14. S. F. Edwards, Proc. Phys. Soc. London 88, 265 (1966).
15. R. W. Richards, A. Maconnachie, and G. Allen, Polymer 0032-3861 10.1016/0032-3861(78)90219-7 19, 266 (1978); R. W. Richards, A. Maconnachie, and G. Allen, Polymer 0032-3861 10.1016/0032-3861(81)90190-7 22, 147 (1981); R. W. Richards, A. Maconnachie, and G. Allen, Polymer 0032-3861 10.1016/0032-3861(81) 90191-9 22, 153 (1981); R. W. Richards, A. Maconnachie, and G. Allen, Polymer 22, 158 (1981).
16. B. Hammouda, Adv. Polym. Sci. 106, 87 (1993).
17. G. D. Wignall and Y. B. Melnichenko, Rep. Prog. Phys. 68, 1761 (2005).
18. J. P. Wittmer, P. Beckrich, F. Crevel, C. C. Huang, A. Cavallo, T. Kreer, and H. Meyer, Comput. Phys. Commun. 0010-4655 10.1016/j.cpc.2007.02.032 177, 146 (2007); J. P. Wittmer, P. Beckrich, H. Meyer, A. Cavallo, A. Johner, and J. Baschnagel, Phys. Rev. E 1063-651X 10.1103/PhysRevE.76.011803 76, 011803 (2007); J. P. Wittmer, P. Beckrich, A. Johner, A. N. Semenov, S. P. Obukhov, H. Meyer, and J. Baschnagel, EPL 77, 56003 (2007).
19. P. Beckrich, A. Johner, A. N. Semenov, S. P. Obukhov, H. Benoit, and J. P. Wittmer, Macromolecules 40, 3805 (2007).
20. M. Kröger, Comput. Phys. Commun. 118, 278 (1999).
21. M. Kröger, M. Müller, and J. Nievergelt, Comput. Model. Eng. Sci. 4, 559 (2003).
22. M. Rosche, R. G. Winkler, P. Reineker, and M. Schulz, J. Chem. Phys. 112, 3051 (2000).
23. N. C. Karayiannis and M. Laso, Phys. Rev. Lett. 100, 050602 (2008).
24. N. C. Karayiannis and M. Laso, Macromolecules 41, 1537 (2008).
25. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000).
26. A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. 95, 090604 (2005).
27. Z. H. Stachurski, Phys. Rev. Lett. 90, 155502 (2003).
28. J. G. Briano and E. D. Glandt, J. Chem. Phys. 80, 3336 (1984).
29. D. A. Kofke and E. D. Glandt, Mol. Phys. 64, 1105 (1988).
30. P. G. Bolhuis and D. A. Kofke, Phys. Rev. E 54, 634 (1996).
31. P. V. K. Pant and D. N. Theodorou, Macromolecules 28, 7224 (1995).
32. F. A. Escobedo and J. J. de Pablo, Macromolecules 32, 900 (1999).
33. F. A. Escobedo, J. Chem. Phys. 115, 5642 (2001).
34. M. Doxastakis, V. G. Mavrantzas, and D. N. Theodorou, J. Chem. Phys. 115, 11352 (2001).
35. F. L. Colhoun, R. C. Armstrong, and G. C. Rutledge, Macromolecules 35, 6032 (2002).
36. F. A. Escobedo, J. Chem. Phys. 118, 10262 (2003).
37. T. Kristof and I. Szalai, Phys. Rev. E 72, 041105 (2005).
38. J. de Joannis, Y. Jiang, F. Yin, and J. T. Kindt, J. Phys. Chem. B 110, 25875 (2006).
39. N. C. Karayiannis, V. G. Mavrantzas, and D. N. Theodorou, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.88.105503 88, 105503 (2002); N. C. Karayiannis, A. E. Giannousaki, V. G. Mavrantzas, and D. N. Theodorou, J. Chem. Phys. 117, 5465 (2002).
40. N. C. Karayiannis, A. E. Giannousaki, and V. G. Mavrantzas, J. Chem. Phys. 118, 2451 (2003).
41. B. Widom, J. Chem. Phys. 39, 2805 (1963).
42. D. A. McQuarrie, Statistical Mechanics (Harper & Row, New York, 1976).
43. S. K. Kumar, J. Chem. Phys. 96, 1490 (1992).
44. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 2000).
45. J. Pach and P. K. Agarwal, Combinatorial Geometry (Wiley, New York, 1995).
46. J. Sun, S. Boyd, L. Xiao, and P. Diaconis, SIAM Rev. 48, 681 (2006).
47. A. Pothen, H. Simon, and K. Liou, SIAM J. Matrix Anal. Appl. 11, 430 (1990).
48. P. Bŕmaud, Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues (Springer, New York, 1999).
49. M. Jerrum and A. Sinclair, SIAM J. Comput. 18, 1149 (1989).
50. R. A. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows: Theory, Algorithms and Application (Prentice Hall, New Jersey, 1993).
51. S. T. Milner, Macromolecules 38, 4929 (2005).
52. A. Donev, S. Torquato, and F. H. Stillinger, Phys. Rev. E 71, 011105 (2005).