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Directed polymer melts and quantum critical phenomena. (English) Zbl 0943.82596

MSC:
82D60 Statistical mechanical studies of polymers
82B26 Phase transitions (general) in equilibrium statistical mechanics
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[1] R. P. Feynman,Phys. Rev. 91:1291 (1953); see also R. P. Feynman and A. R. Hibbs,Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965); R. P. Feynman,Statistical Mechanics, (Benjamin/Cummins, Reading, Massachusetts, 1972). · Zbl 0053.48001 · doi:10.1103/PhysRev.91.1291
[2] D. R. Nelson,Phys. Rev. Lett. 60:1973 (1988); D. R. Nelson and H. S. Seung,Phys. Rev. B 39:9153 (1989); D. R. Nelson and P. Le Doussal,Phys. Rev. B 42:10113 (1990). · doi:10.1103/PhysRevLett.60.1973
[3] P. Le Doussal and D. R. Nelson,Europhys. Lett. 15:161 (1991). · doi:10.1209/0295-5075/15/5/013
[4] R. D. Kamien, P. Le Doussal, and D. R. Nelson,Phys. Rev. A 45:8727 (1992). · doi:10.1103/PhysRevA.45.8727
[5] D. R. Nelson,Physica A 177:220 (1991). · doi:10.1016/0378-4371(91)90157-8
[6] P. G. de Gennes,J. Phys Lett. (Paris)36L:55 (1975).
[7] M. C. Marchetti and D. R. Nelson,Phys. Rev. B 42:9938 (1990);Physica C 174:40 (1991). · doi:10.1103/PhysRevB.42.9938
[8] J. V. Selinger and R. F. Bruinsma,Phys. Rev. A 43:2910 (1991). · doi:10.1103/PhysRevA.43.2910
[9] A. I. Larkin and D. E. Khmel’nitskii,Zh. Eksp. Teor. Fig. 29:1123 (1969); see also A. Aharony,Phys. Rev. B 8:3363 (1973);9:3946 (E) (1974).
[10] P. G. de Gennes,Physics of Liquid Crystals (Oxford University, Oxford, 1974). · Zbl 0295.76005
[11] T. C. Halsey and W. Toor,J. Stat. Phys. 61:1257 (1990). · doi:10.1007/BF01014374
[12] T. C. Halsey and W. Toor,Phys. Rev. Lett. 65:2820 (1990). · doi:10.1103/PhysRevLett.65.2820
[13] G. C. Maitland, M. Rigby, E. B. Smith, and W. Wakeham,Intermolecular Forces (Clarendon Press, Oxford, 1981).
[14] R. Tao, Southern Illinois University Preprint (1992).
[15] T. Chen, R. N. Zitter, and R. Tao, Southern Illinois University Preprint (1992).
[16] A. P. Gast and C. F. Zukoski,Adv. Colloid Interface Sci. 30:153 (1989). · doi:10.1016/0001-8686(89)80006-5
[17] P. Muzikar and C. Pethicke,Phys. Rev. B 24:2533 (1981). · doi:10.1103/PhysRevB.24.2533
[18] E. Cheng, M. W. Cole, and P. B. Shaw,J. Low Temp. Phys. 79:49 (1991). · doi:10.1007/BF00681551
[19] D. Forster,Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (Benjamin/Cummings, Reading, Massachusetts, 1975).
[20] A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski,Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963). · Zbl 0135.45003
[21] A. P. Young,J. Phys. C 8:L309 (1975) and references therein. · doi:10.1088/0022-3719/8/15/001
[22] See also Terry Hwa, unpublished.
[23] R. K. Pathria,Statistical Mechanics (Pergamon, Exeter, England, 1972).
[24] D. Forster, D. R. Nelson, and M. J. Stephen,Phys. Rev. A 16:732 (1977). · doi:10.1103/PhysRevA.16.732
[25] B. I. Halperin, P. C. Hohenberg, and S. K. Ma,Phys. Rev. Lett. 29:1548 (1972). · doi:10.1103/PhysRevLett.29.1548
[26] E. Br?zin and J. Zinn-Justin,Phys. Rev. B 13:251 (1976). · doi:10.1103/PhysRevB.13.251
[27] K. S. Liu and M. E. Fisher,J. Low Temp. Phys. 10:655 (1973). · doi:10.1007/BF00655458
[28] J. W. Negele and J. Orland,Quantum Many-Particle Systems (Addison-Wesley, New York, 1988). · Zbl 0984.82503
[29] V. N. Popov,Functional Integrals and Collective Excitations (Cambridge University Press, New York, 1987). · Zbl 0723.76115
[30] D. S. Fisher and P. C. Hohenberg,Phys. Rev. B 37:4936 (1988), and references therein. · doi:10.1103/PhysRevB.37.4936
[31] J. R. Rudnick and D. R. Nelson,Phys. Rev. B 13:2208 (1976), and references therein. · doi:10.1103/PhysRevB.13.2208
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