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On Edwards’ model for polymer chains. II: The self-consistent potential. (English) Zbl 0477.60100


MSC:

60K99 Special processes
60J99 Markov processes

Citations:

Zbl 0431.60100
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References:

[1] Edwards, S. F.: Proc. Phys. Soc. London85, 613-624 (1965) · Zbl 0125.23205 · doi:10.1088/0370-1328/85/4/301
[2] Westwater, M. J.: Commun. Math. Phys.72, 131-174 (1980) · Zbl 0431.60100 · doi:10.1007/BF01197632
[3] Luttinger, J. M.: Useful bounds on interesting quantities by path integrals. pp. 239-284 In: Proceedings of the NATO Advanced study institute on path integrals and their applications, Antwerpen: Plenum Publ. Co. 1977
[4] Lefschetz, S.: Differential euqations: geometric theory. p. 96 (2. ed.) London, New York: Wiley Interscience 1963 · Zbl 0107.07101
[5] Hastings, S. P., McLeod, J. B.: Arch. Rat. Mech. Anal.73, 31-51 (1980) · Zbl 0426.34019 · doi:10.1007/BF00283254
[6] Flory, P. J.: Principles of polymer chemistry. Ithaca: Cornell University Press 1953
[7] DeGennes, P. G.: Scaling concepts in polymer physics Ithaca: Cornell University Press 1979
[8] Kalos, M. H., Lebowitz, J. L., Webman, I.: Excluded volume expansion of polymer chains: a Monte Carlo study of the scaling properties. Rutgers University preprint 1980
[9] Ziman, J. M.: Models of disorder. pp. 269-282. Cambridge: Cambridge University Press 1979
[10] Simon, B.: Functional integration and quantum physics. pp. 57, 172. New York: Academic Press 1979 · Zbl 0434.28013
[11] Kolmogoroff, A.: Math. Ann.113, 766-772 (1936) · Zbl 0015.26004 · doi:10.1007/BF01571664
[12] Coddington, E. A., Levinson, N.: Theory of ordinary differential equations. Ex. 18 p. 101. New York: McGraw-Hill 1955 · Zbl 0064.33002
[13] Itô, K., McKean, H. P., Jr.: Diffusion processes and their sample paths. p. 61 (2. ed.) Berlin, Heidelberg, New York: Springer 1974
[14] Kobyashi, S., Nomizu, K.: Foundations of differential geometry. Vol. 1. p. 310, London New York: Wiley Interscience 1963 · Zbl 0119.37502
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