On the origin of the scattering of gels and swollen polymer networks

Proceedings of the 5th European Conference on Constitutive Models for Rubber, ECCMR 2007

Volumn , Issue , 2008, Pages 147-156

  Lang, M ^a   Sommer, J U ^b  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

^b LEIBNIZ INSTITUTE OF POLYMER RESEARCH DRESDEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUTIVE MODELS; GELATION; GELS; POLYMERS; RUBBER; STRUCTURAL OPTIMIZATION;

BLOB SIZES; CHARACTERISTIC LENGTHS; CROSS-LINKING REACTIONS; DE-MIXING; DENSITY FLUCTUATIONS; DENSITY PROFILES; DIRECT ANALYSIS; LENGTH-SCALE; MIXING CONDITIONS; NETWORK CHAINS; NETWORK STRUCTURES; PARTICLE FLUCTUATIONS; POLYMER CHAINS; POLYMER GELS; POWER LAWS; REACTIVE GROUPS; SINGLE NETWORKS; STRUCTURE FUNCTIONS; SWOLLEN NETWORKS; SWOLLEN POLYMERS; TOPOLOGICAL STRUCTURES;

BOUNDARY LAYER FLOW;

EID: 60749121037     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (44)

1. Bastide, J. and S. Candau (1996). The Physical Properties of Polymeric Gels, Chapter 5. Structure of Gels as Investigated by Means of Static Scattering Techniques, pp. 143-210. John Wiley.
2. Bastide, J. and L. Leibler (1988). Large-scale heterogeneities in randomly cross-linked networks. Macromolecules 21, 2647-2649.
3. Bastide, J. and C. Picot (1981). Some comments on the swelling of polymeric networks in relation to their structure. J. Macromol. Sci.-Phys. B 19(1), 13-34.
4. Blanc, D., S. Pelissier, P. Jurine, O. Soppera, C. Croutxe-Barghom, and C. C. Carre (2003). Photo-induced swelling of hybrid sol-gel thin films: Application to surface micro-patterning. J. Sol-Gel Sci. Tech. 27, 215.
5. Brotzman, R. and B. Eichinger (1981). Volume dependence of the elastic equation of state. 2. solution-cured poly(dimethylsiloxane). Macro-molecules 14(5), 1445-1448.
6. Carmesin, I. and K. Kremer (1988). The bond fluctuation method: A new effective algorithm for the dynamics of polymer in all spatial dimensions. Macro-molecules 21, 2819-2823.
7. Doi, M. and S. Edwards (1986). The Theory of Polymer Dynamics. Oxford Scientific Publications, Oxford.
8. Duiser, J. and A. Staverman (1965). On the theory of rubber elasticity, pp. 376-387. North Holl. Publ.
9. Fetsch, M., H. Ryder, P. Paul, and N. Ravi (2003). Synthesis and characterization of hydrophobically modified hydrogels as artificial human lens substitutes. PMSE Preprints 89, 515.
10. Flory, P. (1982). Elastic activity of imperfect networks. Macromolecules 15, 99-100.
11. Flory, P. J. and J. Rehner (1943). Statistical mechanics of cross-linked polymer networks. ii. swelling. JCP 11(ll), 521-526.
12. Geissler, E., A.-M. Hecht, and F. Horkay (2005). Nanoscale inhomogeneities and thermodynamics of unfilled polymer gels. Journal of Macromolecular Science B 44(10), 873-880.
13. Gottlieb, M. and R. Gaylord (1984). Experimental tests of entanglement models of rubber elasticity. 2. swelling. Macromolecules 17(10), 2024-2030.
14. Gumbell, S., L. Mullins, and R. Rivlin (1953). Departures of the elastic behavior of rubbers in simple extension from the kinetic theory. Trans. Faraday Soc. 49, 1495-1505.
15. Hecht, A.-M., F. Horkay, and E. Geissler (2001). Neutron scattering investigations on a bimodal polymer gel. J. Chem. Phys. B 7, 5637-5642.
16. Kang, K. and Redner, S. (1985). Fluctuation dominated kinetics in diffusion controlled reactions. Phys. Rev. A 32, 435-147.
17. Kawamura, T., K. Urayama, and S. Kojiya (2000). Small angle y-ray scattering study on role of trapped entanglements in structure of swollen end-linked poly(dimethylsiloxane) networks. J. Chem. Phys 112, 9105-9111.
18. Koizumi, S., M. Monkenbusch, D. Richter, D. Schwann, and B. Farago (2004). Concentration fluctuations in polymer gel investigates by neutron scattering: Static inhomogeneity in swollen gel. J. Chem. Phys. 121(24), 12721-12731.
19. Lang, M. (2004). Bildung und Struktur von polymeren Netzwerken. Dissertation, Universität Regensburg.
20. Lang, M., D. Göritz, and S. Kreitmeier (2003a). Constitutive Models for Rubber III, Chapter The effect of spatially inhomogeneous mixing of polymer and cross-links for end-linked polymer networks, pp. 195-202. Swets & Zeitlinger, Lisse, Netherlands.
21. Lang, M., D. Göritz, and S. Kreitmeier (2003b). Length of subchains and chain ends in cross-linked polymer networks. Macromolecules 36, 4646-4658.
22. Lang, M., D. Göritz, and S. Kreitmeier (2005). Constitutive Models for Rubber IV, Chapter Network defects and visco-elasticity, pp. 349-360. Swets & Zeitlinger, Lisse, Netherlands.
23. Lang, M., W. Michalke, and S. Kreitmeier (2001). Optimized decomposition of polymer networks into meshes. J. Comp. Theor. Pol. Sci. 11, 459.
24. McAllister, K., P. Sazani, M. Adam, M. Cho, M. Rubinstein, R. Samulski, and J. DeSimone (2002). Polymeric nanogels produced via inverse microemulsion polymerization as potential gene and antisense delivery agents. J.Amer. Chem. Soc. 124, 15198.
25. Mendes, E., P. Lindner, M. Buzier, F. Boué, and J. Bastide (1991, March). Experimental evidence for inhomogeneous swelling and deformation in statistical gels. Phys. Rev. Lett. 66(12), 1595-1598.
26. Michalke, W., M. Lang, S. Kreitmeier, and D. Göritz (2001). Simulations on the number of entanglements of a polymer network using knot theory. Phys. Rev. E 64, 012801.
27. Onuki, A. (1992). Scattering from deformed swollen gels with heterogeneities. J. Phys. II Fr. 1, 45-61.
28. Osada, Y., H. Okuzaki, and H. Hori (1992). A polymer gel with electrically driven motility. Nature 355, 242.
29. Ovchinnikov, A. and Y. Zeldovich (1978). Role of density fluctuations in bimolecular reaction kinetics. Chemical Physics 25,215-218.
30. Panyukov, S. and Y. Rabin (1996a). Polymer gels: Frozen inhomogeneities and density fluctuations. Macromolecules 11, 7960-7975.
31. Panyukov, S. and Y. Rabin (1996b). Statistical physics of polymer gels. Physics Reports 269, 1-131.
32. Pütz, M, K. Kremer, and R. Everaers (2000). Self-similar chain conformations in polymer gels. Phys. Rev. Lett. 84(2), 298-301.
33. Rubinstein, M. and R. Colby (2003). Polymer Physics. Oxford University Press, New York.
34. Sommer, J.-U. (1994). Structural properties and swelling behavior of randomly crosslinked polymer networks: A monte carlo study. Macromol. Symp. 81, 139.
35. Sommer, J.-U. and S. Lay (2002, January). Topological structure and nonaffine swelling of bimodal polymer networks. Macromolecules 35, 9832-9843.
36. Sommer, J.-U. and K. Saalwachter (2005). Segmental order in end-linked polymer networks: A monte carlo study. Eur. Phys. J.E 18, 167-182.
37. Sommer, J.-U., T. Vilgis, and G. Heinrich (1994, June). Fractal properties and swelling behavior of polymer networks./. Chem. Phys. 100(\2), 9181-9191.
38. Soni, V and R. Stein (1990). Light scattering studies of poly(dimethylsiloxane) solutions and swollen networks. Macromolecules 23(25), 5257-5265.
39. Tabata, O., H. Hirasawa, S. Aoki, R. Yoshida, and E. Kokufuta (2002). Ciliary motion actuator using self-oscillating gel. Sensors and Actuators A 95, 234.
40. Trautenberg, H., J. Sommer, and D. Goritz (1994). Kinetics of network formation by end-linking: A monte-carlo study. Macromol. Symp. 81, 153-160.
41. Urayama, K. and S. Kojiya (1996). Crossover of the concentration dependence of swelling and elastic properties for polysiloxane networks crosslinked in solution. J. Chem. Phys. 104, 3352-3358.
42. Yoshida, R. (2005). Design of functional polymer gels and their application to biomimetic materials. Curr. Org. Chem. 9, 1617.
43. Yoshida, R., K. Sakai, T. Okano, and Y. Sakurai (1993). Pulsatile drug delivery system using hydrogels. Advanced Drug Delivery Reviews 11, 85.
44. Zimm, B. and W. Stockmayer (1949, December). The dimensions of chain molecules containing branches and rings. J. Chem. Phys. 77(12), 1301-1314.