2 Polymerized membranes, a review

Phase Transitions and Critical Phenomena

Volumn 19, Issue C, 2001, Pages 253-480

  Wiese, K J ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957083048     PISSN: 10627901     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1062-7901(01)80016-1     Document Type: Chapter

References (234)

1. Abraham F.F. Comment on "Shape fluctuations of polymerized or solidlike membranes" by R. Lipowsky and M. Giradet. Phys. Rev. Lett. 67 (1991) 1669
2. Abraham F.F., and Kardar M. Folding and unbinding transitions in tethered membranes. Science 252 (1991) 419
3. Abraham F.F., and Nelson D.R. Fluctuations in the flat and collapsed phases of polymerized membranes. J. Phys. France 51 (1990) 2653
4. Abraham F.F., and Nelson D.R. Diffraction from polymerized membranes. Science 249 (1990) 393
5. Abraham F.F., Rudge W.E., and Plischke M. Molecular dynamics of tethered membranes. Phys. Rev. Lett. 62 (1989) 1757
6. Al-Noaimi G.F., Martinez-Mekler G.C., and Wilson C.A. Dynamical scaling exponent z for a single polymer chain by renormalization along the chain. J. Phys. (Paris) Lett. 39 (1978) 373
7. Amit D.J. Field Theory, the Renormalization Group, and Critical Phenomena. 2nd edn. (1984), World Scientific, Singapore
8. Aronovitz J.A., and Lubensky T.C. ε-expansion for self-avoiding tethered surfaces of fractional dimension. Europhys. Lett. 4 (1987) 395
9. Aronovitz J.A., and Lubensky T.C. Fluctuations of solid membranes. Phys. Rev. Lett. 60 (1988) 2634
10. Aronovitz J., Golubović L., and Lubensky T.C. Fluctuations and lower critical dimensions of crystalline membranes. J. Phys. (Paris) 50 (1989) 609
11. Aronovitz J., Golubović L., and Lubensky T.C. Entropic elasticity of lamellar tethered membrane phases. Phys. Rev. E43 (1991) 6793
12. Baig M., Espriu D., and Travesset A. Universality in the crumpling transition. Nucl. Phys. B426 (1994) 575
13. Balents L., and Fisher D.S. Large-N expansion of 4-ε-dimensional oriented manifolds in random media. Phys. Rev. B48 (1993) 5949
14. Balents L., and Fisher M.P.A. Temporal order in dirty driven periodic media. Phys. Rev. Lett. 75 (1995) 4270
15. Barrière B. Elastic moduli of 2d grafted tethered membranes. J. Phys. I (Paris) 5 (1995) 389
16. Barsky S.J., and Plischke M. Molecular dynamics simulation of tethered membranes in four and five dimensions. Phys. Rev. E50 (1994) 3911
17. Baumgärtner A. Does a polymerized membrane crumple?. J. Phys. I (Paris) 1 (1991) 1549
18. Baumgärtner A., and Renz W. Crumpled self-avoiding tethered surfaces. Europhys. Lett. 17 (1992) 381
19. Bensimon D., Mukamel D., and Peliti L. Quenched curvature disorder in polymerized membranes. Europhys. Lett. 18 (1992) 269
20. Bensimon D., Mutz M., and Gulik T. Wrinkling transition in polymerized membranes. Physica A194 (1993) 190
21. Bergère M.C., and Lam Y.-M.P. Bogoliubov-Parasiuk theorem in the α-parametric representation. J. Math. Phys. 17 (1976) 1546
22. Blatter G., Feigel'man M.V., Geshkenbein V.B., Larkin A.I., and Vinokur V.M. Vortices in high-temperature superconductors. Rev. Mod. Phys. 66 (1994) 1125
23. Blumenthal L.M. Theory and Applications of Distance Geometry (1953), Clarendon Press, Oxford
24. Bogoliubov N.N., and Parasiuk O.S. Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder. Acta Math. 97 (1957) 227
25. Bouchaud J.P., and Bouchaud E. Comment on 'Landau theory of the crumpling transition. Phys. Rev. Lett. 61 (1988) 2625
26. Bouchaud J.P., Comtet A., Georges A., and Le Doussal P. Anomalous diffusion in random media of any dimensionality. J. Phys. (Paris) 48 (1987) 1445
27. Bowick M., and Guitter E. Effects of self-avoidance on the tubular phase of anisotropic membranes. Phys. Rev. E56 (1997) 7023
28. Bowick M., and Travesset A. New analytical results on anisotropic membranes. Nucl. Phys Proc. Suppl. 73 (1999) 807
29. Bowick M., and Travesset A. The tubular phase of self-avoiding anisotropic crystalline membranes. Phys Rev. E59 (1999) 5659
30. Bowick M., Falcioni M., and Thorleifsson G. Numerical observation of a tubular phase in anisotropic membranes. Phys. Rev. Lett. 79 (1997) 885
31. Bowick M.J., Catterall S.M., Falcioni M., Thorleifsson G., and Anagnostopoulos K. The flat phase of fixed-connectivity membranes. Nucl. Phys. B Proc. Suppl. 53 (1997) 746
32. Callan Jr. C.G. Introduction to renormalization theory. Methods in Field Theory, (ed. R. Balian and J. Zinn-Justin), Vol. XXVIII of Les Houches, école d'été de physique théorique 1975 (1975), North Holland, Amsterdam
33. Canham P.B. The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J. Theor. Biol. 26 (1970) 61-81
34. Cardy J. Scaling and Renormalization in Statistical Physics (1996), Cambridge University Press, Cambridge
35. Cassandro M., and Mitter P.K. Renormalization group approach to interacting crumpled surfaces: the hierarchical recursion. Nucl. Phys. B422 (1994) 634
36. (printed as 8). Cates M.E. The Liouville theory of random surfaces: When is the bosonic string a branched polymer?. Europhys. Lett. 7 (1988) 719
37. Cates M.E., and Ball R.C. Statistics of a polymer in a random potential, with implications for a nonlinear interfacial growth model. J. Phys. (Paris) 49 (1988) 2009
38. Chayes J.T., Chayes L., Fisher D.S., and Spencer T. Finite-size scaling and correlation lengths for disordered systems. Phys. Rev. Lett. 57 (1986) 2999
39. Chianelli R.R., Prestridge E.B., Pecorado T.A., and de Neufville J.P. Molybdenum disulfide in the poorly crystalline "RAG" structure. Science 203 (1979) 1105
40. Collins J.C. Renormalization (1984), Cambridge University Press, Cambridge
41. Cugliandolo L., and Le Doussal P. Large times off-equilibrium dynamics of a particle in a random potential. Phys. Rev. E53 (1996) 1525
42. Cugliandolo L., Kurchan J., and Le Doussal P. Large time off-equilibrium dynamics of a manifold in a random potential. Phys. Rev. Lett. 76 (1996) 2390
43. David F., and Guitter E. Crumpling transition in elastic membranes: Renormalization group treatment. Europhys. Lett. 5 (1988) 709
44. David F., and Wiese K.J. Scaling of self-avoiding tethered membranes: 2-loop renormalization group results. Phys. Rev. Lett. 76 (1996) 4564
45. David F., and Wiese K. Large orders for self-avoiding membranes. Nucl. Phys. B535 (1998) 555
46. David F., Guitter E., and Peliti L. Critical properties of fluid membranes with hexatic order. J. Phys. (Paris) 48 (1987) 2059
47. David F., Duplantier B., and Guitter E. Renormalization of crumpled manifolds. Phys. Rev. Lett. 70 (1993) 2205
48. David F., Duplantier B., and Guitter E. Renormalization theory for interacting crumpled manifolds. Nucl. Phys. B394 (1993) 555
49. David F., Duplantier B., and Guitter E. Renormalization and hyperscaling for self-avoiding manifold models. Phys. Rev. Lett. 72 (1994) 311
50. In: David F., Ginsparg P., and Zinn-Justin J. (Eds). Fluctuating Geometries in Statistical Mechanics and Field Theory (1996), Elsevier, Amsterdam
51. David F., Duplantier B., and Guitter E. Renormalization theory for the self-avoiding polymerized membranes, cond-mat/9702136 (1997)
52. De Gennes P.-G. Exponents for the excluded volume problem as derived by the Wilson method. Phys. Lett. A38 (1972) 339
53. De Gennes P.-G. Collapse of a polymer chain in poor solvents. J. Phys. Lett. (Paris) 36 (1975) 55
54. De Gennes P.G. Dynamics of entangled polymer solutions. I. The Rouse model. Macromolécules 9 (1976) 587
55. De Gennes P.G. Dynamics of entangled polymer solutions. II. Inclusion of hydrodynamic interactions. Macromolécules 9 (1976) 594
56. De Gennes P.G., and Taupin C. Microemulsions and the flexibility of oil/water interfaces. J. Phys. Chem. 86 (1982) 2294
57. De Witt B. The spacetime approach to quantum field theory in relativity, groups and topology II. Vol. XL of Les Houches, école d'été de physique théorique 1983 (1984), North Holland, Amsterdam
58. des Cloizeaux J. Polymers in solutions: Principles and applications of a direct renormalization method. J. Phys. (Paris) 42 (1981) 635
59. des Cloizeaux J., and Jannink G. Polymers in Solution, Their Modelling and Structure (1990), Clarendon Press, Oxford
60. Diehl H.W. Field-Theoretical Approach to Critical Behaviour of Surfaces in Phase Transitions and Critical Phenomena Vol. 10 (1986), Academic Press, London 76
61. Dieudonné J. Grundzüge der modernen Analysis Vol. 2 (1971), Vieweg, Braunschweig
62. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Clarendon Press, Oxford
63. In: Domb C., and Green M.S. (Eds). Series Expansions and Lattice Models Phase Transitions and Critical Phenomena Vol. 3 (1974), Academic Press, London, New York
64. Dovertsky B.Y., Chu J.C., and Mak C.H. Computer simulations of self-avoiding polymerized membranes. J. Chem. Phys. 108 (1998) 6554
65. Duplantier B. Nonuniversality in crumpled manifolds. Phys. Rev. Lett. 58 (1987) 2733
66. Duplantier B. In: Nelson D.R., Piran T., and Weinberg S. (Eds). Statistical Mechanics of Membranes and Surfaces. Proceedings of the Fifth Jerusalem Winter School for Theoretical Physics (1989), World Scientific, Singapore
67. Duplantier B. Interaction of crumpled manifolds with euclideam elements. Phys. Rev. Lett. 62 (1989) 2337
68. Duplantier B., Hwa T., and Kardar M. Self-avoiding crumpled manifolds: Perturbative analysis and renormalizability. Phys. Rev. Lett. 64 (1990) 2022
69. Ebert U. Polymer diffusion in quenched disorder-a renormalization group approach. J. Stat. Phys. 82 (1996) 183
70. Edwards S.F. The statistical mechanics of polymers with excluded volume. Proc. Phys. Soc. 85 (1965) 183
71. Edwards S.F. The statistical mechanics of polymers with excluded volume. Proc.PPhys. Soc. 85 (1965) 613
72. Elsgaeter A., Stokke B.T., Mikkelsen A., and Branton D. The molecular basis of erythrocyte shape. Science 234 (1986) 1217
73. Falk H., and Speth V. In: Kleinig H., and Sitte P. (Eds). Zellbiologie. 4th edn (1999), Gustav Fischer, Stuttgart
74. Fisher D.S. Sliding charge-density waves as a dynamical critical phenomena. Phys. Rev. B31 (1985) 1396
75. Fisher D.S. Interface fluctuations in disordered systems: 5-ε expansion. Phys. Rev. Lett. 56 (1986) 1964
76. Fisher D.S., Friedan D., Qiu Z., Shenker S.J., and Shenker S.H. Random walks in two-dimensional random environments with constrained drift forces. Phys. Res. A31 (1985) 3841
77. Forgas G., Lipowsky R., and Nieuwenhuizen T.M. In: Domb C., and Lebowitz J.L. (Eds). The Behaviour of Interfaces in Ordered and Disordered System in Phase Transitions and Critical Phenomena Vol. 14 (1991), Academic Press, London 136
78. Frey E., and Nelson D.R. Dynamics of flat membranes and flickering in red blood cells. J. Phys. I (Paris) 1 (1991) 1715
79. Giamarchi T., and Le Doussal P. Statics and dynamics of disordered elastic systems. Phys. Rev. Lett. 76 (1996) 3408
80. Gomes M.A.F., and Vasconcelos G.L. Comment on "Statistical mechanics of tethered surfaces. Phys. Res. Lett. 60 (1988) 237
81. Gompper G., and Kroll D.M. Fluctuations of a polymerized membrane between walls. J. Phys. I (Paris) 1 (1991) 1411
82. Gompper G., and Kroll D.M. A polymerized membrane in confined geometry. Europhys. Lett. 15 (1991) 738
83. Gompper G., and Kroll D.M. Edge correlations of fluid and tethered membranes. J. Phys. I (Paris) 2 (1992) 663
84. Gompper G., and Kroll D.M. Network models of fluid, hexatic and polymerized membranes. J. Phys. Condens. Matter 9 (1997) 8795
85. Goulian M. The gaussian approximation for self-avoiding tethered surface. J. Phys. II (Paris) 1 (1991) 1327
86. Green M.B., Schwarz J.H., and Witten E. Superstring Theory Vols 1 and 2 (1987), Cambridge University Press, Cambridge
87. Grest G.S. Self-avoiding tethered memmbranes embedded into high dimensions. J. Phys. I (Paris) 1 (1991) 1695
88. Grest G.S., and Murat M. Molecular dynamics simulations of the structure of gelation/percolation clusters and random tethered membranes. J. Phys. (Paris) 51 (1990) 1415
89. Grest G.S., and Petsche I.B. Molecular dynamics simulations of self-avoiding tethered membranes with attractive interactions: Search for a crumpled phase. Phys. Rev. E50 (1994) 1737
90. Guitter E. Anharmonic theory of a stack of tethered membranes. J. Phys. I (Paris) 51 (1990) 2407
91. Guitter E. Méthodes de théorie des champs pour les polymères et les membranes polymèrisées, Beg-Rohu (1997)
92. Guitter E., and Kardar M. Tethering, crumpling, and melting transitions in hexatic membranes. Europhys. Lett. 13 (1990) 441
93. Guitter E., and Palmeri J. Tethered membranes with long-range interaction. Phys. Rev. A45 (1992) 734
94. Guitter E., David F., Leibler S., and Peliti L. Thermodynamical behavior of polymerized membranes. J. Phys. (Paris) 50 (1989) 1787
95. Guitter E., Leibler S., Maggs A.C., and David F. Stretching and buckling of polymerized membranes: a Monte Carlo study. J. Phys (Paris) 51 (1990) 1055
96. Harnish R.G., and Wheater J.F. The crumpling transition of crystalline random surfaces. Nucl. Phys. B350 (1991) 861
97. Harris A.B. Effect of random defects on the critical behaviour of Ising models. J. Phys. C7 (1974) 1671
98. Harris A.B., and Lubensky T.C. Renormalization-group approach to the critical behavior of random-spin models. Phys. Rev. Lett. 33 (1974) 1540
99. Helfrich W. Elastic properties of lipid bilayers: theory and possible experiments. Z. Naturforschung 28c (1973) 693-703
100. Helfrich W. Stiffening of fluid membranes and entropy loss of membrane closure: two effects of thermal undulations. Eur. Phys. J. B1 (1998) 481
101. Hepp K. Proof of the Bogoliubov-Parasiuk theorem on renormalization. Comm. math. Phys. 2 (1966) 301
102. Ho J.-S., and Baumgärtner A. Self-avoiding tethered membranes. Phys. Rev. Lett. 63 (1989) 1324
103. Hohenberg P.C., and Halperin B.I. Theory of dynamical critical phenomena. Rev. Mod. Phys. 49 (1977) 435
104. Honkonen J., and Karjalainen E. Diffusion in a random medium with long range correlations. J. Phys. A21 (1988) 4217
105. Hwa T. Generalized ∈ expansion for self-avoiding tethered manifolds. Phys. Rev. A41 (1990) 1751
106. Hwa T., Kokufuta E., and Tanaka T. Conformation of graphite oxide membranes in solution. Phys. Rev. A44 (1991) 2235
107. Itzykson C., and Zuber J.-B. Quantum Field Theory (1985), MacGraw-Hill, Singapore
108. Janssen H.K. On the renormalized field theory of nonlinear critical relaxation. From Phase Transitions to Chaos, Topics in Modern Statistical Physics (1992), World Scientific, Singapore 68
109. Jegerlehner B., and Petersson B. A determination of the central charge at the crumpling transition. Nucl. Phys. B Proc. Suppl. 34 (1994) 723
110. Kadanoff L.P. Operator algebra and the determination of critical indices. Phys. Rev. Lett. 23 (1969) 1430
111. Kaes J., Sackmann E., Podgornik R., Svetina S., and Zeks B. Thermally induced budding of phospholipid vesicles-a discontinuos process. J. Phys. II Paris 3 (1993) 631
112. Kantor Y. Glassy state of polymerized membranes. Europhys. Lett. 20 (1992) 337
113. Kantor Y., and Kardar M. Statistical mechanics of charged manifolds. Europhys. Lett. 9 (1989) 53
114. Kantor Y., and Kremer K. Excluded-volume interactions in tethered membranes. Phys. Rev. E48 (1993) 2490
115. Kantor Y., and Nelson D.R. Crumpling transition in polymerized membranes. Phys. Rev. Lett. 58 (1987) 2774
116. Kantor Y., and Nelson D.R. Phase transitions in flexible polymeric surfaces. Phys. Rev. A36 (1987) 4020
117. Kantor Y., Kardar M., and Nelson D.R. Statistical mechanics of tethered surfaces. Phys. Rev. Lett. 57 (1986) 791
118. Kantor Y., Kardar M., and Nelson D.R. Tethered surfaces: Statics and dynamics. Phys. Rev. A35 (1987) 3056
119. Kantor Y., Kardar M., and Nelson D.R. Kantor, Kardar and Nelson reply. Phys. Rev. Lett. 60 (1988) 238
120. Kardar M. In: Zinn-Justin J., David F., and Ginsparg P. (Eds). Fluctuating Geometries in Statistical Mechanics and Field Theory, Vol. LXII of Les Houches, d'école été de physique théorique 1994. Lectures on directed paths in random media Vol. LXII (1996), Elsevier Science, Amsterdam
121. Kardar M. Nonequilibrium dynamics of interfaces and liens. Phys Rep. 301 (1998) 85-112
122. Kardar M., and Nelson D.R. ∈ expansions for crumpled manifolds. Phys. Rev. Lett. 58 (1987) 1289
123. Kardar M., and Nelson D.R. ∈ expansions for crumpled manifolds. Phys. Rev. Lett. 58 (1987) 2280 E
124. Kardar M., and Nelson D.R. Statistical mechanics of self-avoiding tethered manifolds. Phys. Rev. A38 (1988) 966
125. Kardar M., Parisi G., and Zhang Y.-C. Dynamic scaling of growing interfaces. Phys. Rev. Lett. 56 (1986) 889
126. Kawanishi K., Mori S., and Wadati M. Crumpling transition of self-avoiding tethered membranes caused by screening. Phys. Lett. A190 (1994) 439
127. Kinzelbach H., and Horner H. Dynamics of manifolds in random media: the selfconsistent Hartree approximation. J. Phys. I (Paris) 3 (1993) 1329
128. Kinzelbach H., and Horner H. Dynamics of manifolds in random media II: long range correlations in the disordered medium. J. Phys. I (Paris) 3 (1993) 1901
129. Kleinert H. The membrane properties of condensing strings. Phys. Lett. B174 (1986) 335
130. In: Kleinig H., and Sitte P. (Eds). Zellbiologie. 4th edn (1999), Gustav Fischer, Stuttgart
131. Kogut J. An introduction to lattice gauge theory and spin systems. Rev. Mod. Phys. 51 (1979) 659
132. Kroll D.M., and Gompper G. Floppy tethered networks. J. Phys. I (Paris) 3 (1993) 1131
133. Kroll D.M., and Gompper G. Fluctuations of polymerized, fluid and hexatic membranes: continuum models and simulations. Curr. Opin. Colloid Interface Sci. 2 (1997) 373
134. Krug J. Driven interfaces with phase disorder. Phys. Rev. Lett. 75 (1995) 1795
135. Landau L.D., and Lifshitz I.M. Elastizitätstheorie, Vol. 7 of Lehrbuch der theoretischen Physik (1983), Akademie-Verlag, Berlin
136. Lässig M. On growth, disorder, and field theory. J. Phys. C10 (1998) 9905
137. Le Doussal P. Tethered membranes with long-range self-avoidance: large dimension limit. J. Phys. A25 (1992) 469
138. Le Doussal P., and Machta J. Self-avoiding walks in quenched random environments. J. Stat. Phys. 64 (1991) 541
139. Le Doussal P., and Radzihovsky L. Self-consistent theory of polymerized membranes. Phys. Rev. Lett. 69 (1992) 1209
140. Le Doussal P., and Radzihovsky L. Flat glassy phases and wrinkling of polymerized membranes with long-range disorder. Phys. Rev. B48 (1993) 3548
141. Le Doussal P., and Wiese K.J. Glassy trapping of elastic manifolds in nonpotential static random flows. Phys. Rev. Lett. 80 (1998) 2362
142. In: Le Guillou J.C., and Zinn-Justin J. (Eds). Large-Order Behaviour of Perturbation Theory (1990), North-Holland, Amsterdam
143. Leibler S., and Maggs A.C. Entropic interactions between polymerized membranes. Phys. Rev. Lett. 63 (1989) 406
144. Leschhorn H., Nattermann T., Stepanow S., and Tang L.H. Driven interface depinning in a disordered medium. Ann. Phys. 6 (1997) 1
145. Levinson E. Monte Carlo studies of crumpling for Sierpinski gaskets. Phys. Rev. A43 (1991) 5233
146. Lipatov L.N. Divergence of the perturbation theory series and pseudoparticles. JETP Lett. 25 (1977) 104
147. Lipatov L.N. Divergence of perturbation theory series and the quasiclassical theory. Sov. Phys. JETP 45 (1977) 216
148. Lipowsky R. The physics of flexible membranes in Festkörperprobleme. Advances in Solid State Physics Vol. 32 (1992), Vieweg, Braunschweig/Weisbaden 19
149. Lipowsky R., and Giradet M. Shape fluctuations of polymerized or solidlike membranes. Phys. Rev. Lett. 65 (1990) 2893
150. Lipowsky R., and Giradet M. Reply to "Shape fluctuations of polymerized or solidlike membranes". Phys. Rev. Lett. 67 (1991) 1670
151. Liu D., and Plischke M. Monte Carlo studies of tethered membranes with attractive interactions. Phys. Rev. A45 (1992) 7139
152. Liu S.-C., Derick L.H., and Palek J. Visualization of the hexagonal lattice in the erythrocyte membrane skeleton. J. Cell. Biol. 104 (1987) 527-536
153. Ma S.-K. The 1/n expansion. In: Domb C., and Green M. (Eds). The Renormalization Group and its Applications, Vol. 6 of Phase Transitions and Critical Phenomena (1986), Academic Press, London
154. Machta J., and Kirkpatrick T.R. Self-avoiding walks and manifolds in random environments. Phys. Rev. A41 (1990) 5345
155. Martin P.C., Siggia E.D., and Rose H.A. Statistical dynamics of classical systems. Phys. Rev. A8 (1973) 423
156. Mayer I.O. Critical exponents of the dilute Ising model from four-loop expansions. J. Phys. A22 (1989) 2815
157. Mézard M., and Parisi G. Replica field theory for random manifolds. J. Phys. I (Paris) 1 (1991) 809
158. Michalet X., Bensimon D., and Fourcade B. Fluctuating vesicles of nonspherical topology. Phys. Rev. Lett. 72 (1994) 168
159. Michalet X., and Bensimon D. Vesicles of toroidal topology: Observed morphology and shape transformations. J. Phys. II (Paris) 5 (1995) 263
160. Mitter P.K., and Scopolla B. Renormalization group approach to interacting polymerized manifolds. Commun. Math. Phys 209 (2000) 207-261
161. Mori S. Conformation of self-avoiding randomly tethered membranes. Phys. Lett. A207 (1995) 87
162. Mori S. Self-avoiding tethered membranes with quenched random internal disorder. Phys. Rev. E54 (1996) 338
163. Mori S. Conformation of randomly tethered membranes. J. Phys. Soc. Jap. 65 (1996) 1988
164. Mori S., and Komura S. Monte Carlo study of a self-avoiding tethered membrane with negative bending rigidity. J. Phys. A29 (1996) 7439
165. Mori S., and Wadati M. Randomly polymerized membranes with long range interactions. Phys. Lett. A185 (1994) 206
166. Mori S., and Wadati M. Crumpled phases of self-avoiding randomly polymerized membranes. Phys. Rev. E50 (1994) 867
167. Morse D.C., and Lubensky T.C. Curvature disorder in tethered membranes: a new flat phase at T=0. Phys. Rev. A46 (1992) 1751
168. Morse D.C., Lubensky T.C., and Grest G.S. Quenched disorder in tethered membranes. Phys. Rev. A45 (1992) 2151
169. Morse D.C., Petsche I.B., Grest G.S., and Lubensky T.C. Disorder in polymerized fluid membranes. Phys. Rev. A46 (1992) 6745
170. Narayan O., and Fisher D.S. Threshold critical dynamics of driven interfaces in random media. Phys. Rev. B48 (1993) 7030
171. Nattermann T., and Renz W. Diffusion in a random catalytic environment, polymers in random media, and stochastically growing interfaces. Phys. Rev. A40 (1989) 4675
172. Nattermann T., Stepanow S., Tang L.H., and Leschhorn H. Dynamics of interface depinning in a disordered medium. J. Phys. II (Paris) 2 (1992) 1483
173. Nelson D. In: Nelson D.R., Piran T., and Weinberg S. (Eds). Statistical Mechanics of Membrances and Surfaces. Proceedings of the Fifth Jerusalem Winter School for Theoretical Physics (1989), World Scientific, Singapore
174. Nelson D.R., and Peliti L. Fluctuations in membranes with crystalline and hexatic order. J. Phys. (Paris) 48 (1987) 1085
175. Nelson D.R., and Radzihovsky L. Polymerized membranes with quenched random internal disorder. Europhys. Lett. 16 (1991) 79
176. Nelson D.R., and Radzihovsky L. Grain-boundary instabilities and buckling in partially polymerized membranes. Phys. Rev. A46 (1992) 7474
177. In: Nelson D.R., Piran T., and Weinberg S. (Eds). Statistical Mechanics of Membrances and Surfaces, Proceedings of the Fifth Jerusalem Winter School for Theoretical Physics (1989), World Scientific, Singapore
178. Niel J.C. Critical dynamics of polymerized membranes at the crumpling transition. Europhys. Lett. 9 (1989) 415
179. Onuki A. Spinodal decomposition. Phys. Rev. A34 (1986) 3528
180. Oono Y. Dynamics in Polymer Solutions: A Renormalization Group Approach (1985), Wiley, New York
181. Oono Y., and Freed K.F. Conformation space renormalization of polymers. II. Single chain dynamics based on chain diffusion equation model. J. Chem. Phys. 75 (1981) 1009
182. Paczuski M., and Kardar M. Renormalization-group analysis of the crumpling transition in large d. Phys. Rev. A39 (1989) 6086
183. Paczuski M., Kardar M., and Nelson D.R. Landau theory of the crumpling transition. Phys. Rev. Lett. 60 (1988) 2638
184. Park Y., and Kwon C. Glass phase of randomly polymerized membranes. Phys. Rev. E54 (1996) 3032
185. Peliti L. Amphiphilic membrances. In: David F., Ginsparg P., and Zinn-Justin J. (Eds). Fluctuating Geometries in Statistical Mechanics and Field Theory. Vol. LXII of Les Houches, école d'été de physique théorique 1994 (1996), Elsevier Science, Amsterdam
186. Peliti L., and Leibler S. Effects of thermal fluctuations on systems with small surface tension. Phys. Rev. Lett. 54 (1985) 1690
187. Petsche I.B., and Grest G.S. Molecular dynamics simulations of the structure of closed tethered membranes. Phys. Rev. E50 (1994) 1737
188. Plischke M., and Boal D. Absence of a crumpling transition in strongly self-avoiding tethered membranes. Phys. Rev. A38 (1988) 4943
189. Plischke M., and Fourcade B. Monte Carlo simulation of bond-diluted tethered membranes. Phys. Rev. A43 (1991) 2056
190. Polchinsky J. What is string theory?. In: David F., Ginzparg P., and Zinn-Justin J. (Eds). Fluctuating Geometries in Statistical Mechanics and Field Theory. Vol. LXII of Les Houches, école d'été de physique théorique 1994 (1996), Elsevier Science, Amsterdam
191. Polyakov A.M. Fine structure of strings. Nucl. Phys. B268 (1986) 406
192. Polyakov A.M. Gauge Fields and Strings (1986), Harvard Academic Publishers, Cambridge, MA
193. Puri S., Schaub B., and Oono Y. Renormalization-group analysis of weak-flow effects on dilute polymer solutions. Phys. Rev. A34 (1986) 3362
194. Radzihovsky L., and Le Doussal P. Crumpled glass phase of randomly polymerized membranes in the large d limit. J. Phys. I (Paris) 2 (1992) 599
195. Radzihovsky L., and Nelson D.R. Statistical mechanics of randomly polymerized membranes. Phys. Rev. A44 (1991) 6525
196. Radzihovsky L., and Toner J. A new phase of tethered membranes-tubules. Phys. Rev. Lett. 75 (1995) 4752
197. Radzihovsky L., and Toner J. Elasticity, shape fluctuations, and phase transitions in the new tubule phase of anisotropic tethered membranes. Phys. Rev. E57 (1998) 1832
198. Rehage H., Achenbach B., and Kaplan A. Synthesis, structure and properties of coagulated ultrathin membranes. Ber. Bunsenges. Phys. Chem. 101 (1997) 1683
199. Rivasseau V. From Perturbative to Constructive Renormalization (1991), Princeton University Press, Princeton, NJ
200. Rouse P.E. J. Chem. Phys. 21 (1953) 1272
201. Savit R. Duality in field theory and statistical systems. Rev. Mod. Phys. 52 (1980) 453
202. Schäfer L. Excluded Volume Effects in Polymer Solutions (1999), Springer Verlag, Berlin, Heidelberg
203. Schaub B., Creamer D.B., and Johannesson H. Intrinsic viscosities for linear and ring polymers using renormalization group techniques. J. Phys. A21 (1988) 1431
204. Schmidt C.F., Svoboda K., Lei N., Petsche I.B., Berman L.E., Safinya C.R., and Grest G.S. Existence of a flat phase in red cell membrane skeletons. Science 259 (1993) 952
205. Schmittmann B., and Bassler K.E. Frozen disorder in a driven system. Phys. Rev. Lett. 77 (1996) 3581
206. Schoenberg I.J. On certain metric spaces arising from euklidean spaces by change of metric and their embedding in Hilbert space. Ann. Maths. 38 (1937) 787
207. Seifert U. Configurations of fluid membranes and vesicles. Adv. Phys. 46 (1997) 13
208. Smirnov V.A. Renormlization and Asymptotic Expansions (1991), Birkhäuser Verlag, Basel, Boston, Berlin
209. Spector M.S., Naranjo E., Chiruvolu S., and Zasadzinski J.A. Conformations of a tethered membrane: Crumplign in graphitic oxide?. Phys. Rev. Lett. 73 (1994) 2867
210. Stupp S.I., Son S., Lin H.C., and Li L.S. Synthesis of two-dimensional polymers. Science 259 (1993) 59
211. Tokuyasu T.A., and Toner J. Anomalous elasticity and symmetry breaking fields in tethered membranes. Phys. Rev. Lett. 68 (1992) 3721
212. β′ ) membranes. Phys. Rev. Lett. 74 (1995) 415
213. van Vliet J.H. Short-time dynamics and statics of free and confined tethered membranes. J. Phys. II (Paris) 4 (1994) 1737
214. Wang S.-Q., and Freed K.F. Renormalization group study of Rouse-Zimm model of polymer dynamics through second order in ε. J. Chem. Phys. 85 (1986) 6210
215. Wegner F. The critical state, general aspects. In: Domb C., and Green M. (Eds). The Renormalization Group and its Applications, Phase Transitions and Critical Phenomena Vol. 6 (1986), Academic Press, London 7
216. Wiese K.J. Membranes polymérisées auto-évitantes. PhD thesis (1996), Université d'Orsay
217. Wiese K.J. Classification of perturbations for membranes with bending rigidity. Phys. Lett. B387 (1996) 57
218. Wiese K.J. Dynamics of selfavoiding tethered membranes I, model A dynamics (Rouse model). Eur. Phys. J. B1 (1998) 269
219. Wiese K.J. Dynamics of selfavoiding tethered membranes II, inclusion of hydrodynamic interactions (Zimm model). Eur. Phys. J. B1 (1998) 273
220. Wiese K.J. On the perturbation expansion of the KPZ-equation. J. Stat. Phys. 93 (1998) 143
221. Wiese, K. J. (1997). Why are self-avoiding tethered membranes flat?, unpublished.
222. Wiese K.J., and David F. Self-avoiding tethered membranes at the tricritical point. Nucl. Phys. B450 (1995) 495
223. Wiese K.J., and David F. New renormalization group results for scaling of self-avoiding tethered membranes. Nucl. Phys. B487 (1997) 529
224. Wiese K.J., and Kardar M. Generalizing the O(N)-field theory to N-colored manifolds of arbitrary internal dimension D. Nucl. Phys. B528 (1998) 469
225. Wiese K.J., and Kardar M. A geometric generalization of field theory to manifolds of arbitrary dimension. Eur. Phys. J. B7 (1998) 187
226. Wiese K.J., and Le Doussal P. Polymers and manifolds in static random flows: a RG study. Nucl. Phys. B552 (1999) 529
227. Wiese, K. J. and Shpot, M. The spectrum of irrelevant operators for self-avoiding membranes, in preparation.
228. Wilson K.G. Non-lagrangian models of current algebra. Phys. Rev. A179 (1969) 1499
229. Wilson K., and Kogut J. The renormalization group and the ε-expansion. Phys. Rep. 12 (1974) 75
230. Zhang Z., Davis H.T., and Kroll D.M. Scaling behavior of self-avoiding tethered vesicles. Phys. Rev. E48 (1993) 651
231. Zhang Z., Davis H.T., and Kroll D.M. Molecular dynamics simulations of tethered membranes with periodic boundary conditions. Phys. Rev. E53 (1996) 1422
232. Zimm B.H. Dynamics of polymer molecules in dilute solutions Viscoelasticity, flow birefringence and dielectric loss. J. Chem. Phys. 24 (1956) 269
233. Zimmermann W. Convergence of Bogoliubov's method of renormalization in momentum space. Commun. Math. Phys. 15 (1969) 208
234. Zinn-Justin J. Quantum Field Theory and critical Phenomena (1989), Oxford University Press, Oxford