Abstract
Even people living in a remote part of the jungle have probably heard about nylon, polystyrene, or plexiglas. If they have not, they may be forgiven; they are good (and wise) savages. Macromolecules or polymers are essential products in everyday life and tend to become more and more so, because they are essentially synthetic materials that substitute for natural materials that are becoming scarce and expensive. Plastics is the best-known name to designate them, but they are much more than that: rubbers, paints, adhesives, fibers, and glasses are made of polymers, and probably very soon batteries, will be too. They have in common the fact that they are huge macromolecules, made of millions of atoms. They are usually the repetition of a unit called a monomer. But they may also be made of two different monomers A and B in either regular or random succession. They are then called copolymers. They may be neutral or electrically charged. In the latter case they are named polyelectrolytes. All biological molecules are copolymers of this type. They may be linear or branched. In the latter case, they may eventually form a solid, a gel. Finally, they may be either amorphous or crystalline. In the former case, their structure is random, whereas in the latter, they form a regular structure which is never completely ordered: an amorphous fraction is most usually present between organized regions.
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References
B.B. Mandelbrot: The Fractal Geometry of Nature (Freeman, San Francisco 1977)
P.G. de Gennes: Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca 1979)
J. des Cloizeaux, G. Jannink: Polymers in Solution (Clarendon Press, Oxford 1987)
P.J. Flory: Principles of Polymer Chemistry (Cornell University Press, Ithaca 1953)
M. Gordon, S.B. Ross-Murphy: Pure Appl. Chem. 43, 1 (1975)
D. Stauffer: Phys. Rep. 54, 1 (1979)
D. Stauffer Introduction to Percolation Theory (Taylor and Francis, London 1985)
A. Bunde, S. Havlin, eds.: Fractals and Disordered Systems (Springer, Berlin 1991 )
J. Teixeira, in: On Growth and Form , ed. by H.E. Stanley, N. Ostrowski (Martinus, Nijhoff 1985)
P. Cotton, D. Decker, H. Benoit, B. Farnoux, J. Higgins, G. Jannink, R. Ober, C. Picot, J. des Cloizeaux: Macromolecules 7, 863 (1974)
S.F. Edwards: Proc. Phys. Soc. 65, 613 (1965)
P.G. de Gennes: Phys. Lett. 38A, 339 (1972)
M.J. Stephen: Phys Lett. 53A, 363 (1975)
M. Daoud, G. Jannink: J. Physique Lett. 37, 973 (1976)
M. Moore: J. Phys. A 10, 305 (1977)
I.M. Lifshitz, A. Grosberg, A. Khakholov: Rev. Mod. Phys. 50, 685 (1978)
M. Nierlich, J.P. Cotton, B. Farnoux: J. Chem. Phys. 69, 1379 (1978)
C. Williams, F. Brochard, H.L. Frisch: Ann. Rev. Phys. Chem. 32, 433 (1981)
B. Duplantier: Phys. Rev. Lett, 59, 539 (1987)
B. Derrida: J. Phys. A 14, L5 (1981)
H.J. Hilhorst: Phys. Rev. B 16, 1253 (1977)
S.F. Edwards: Proc. Phys. Soc. 88, 265 (1966)
M. Daoud, J.P. Cotton, B. Farnoux, G. Jannink, G. Sarma, H. Benoit, R. Duplessix, C. Picot, P.G. de Gennes: Macromolecules, 8, 804 (1975)
J. des Cloizeaux: J. Physique, 36, 281 (1975)
I. Noda, N. Kato, T. Kitano, M. Nagasawa: Macromolecules 14, 668 (1981)
M. Doi, S.F. Edwards: The Theory of Polymer Dynamics (Oxford Science, London 1986)
J.F. Joanny, S.J. Candau, in: Comprehensive Polymer Science ,ed by G. Allen (Pergamon, New York 1989)
T.P. Lodge, N.A. Rotstein, S. Prager: Adv. Chem. Phys. 79, 1 (1990)
W.W. Graessley: Adv. Pol. Sci. 47, 68 (1982)
G.H. Weiss, J.T. Bendler, M.F. Slesinger: Macromolecules 21, 317 (1988)
J.T. Bender, M. Dishon, H. Kesten, G.H. Weiss: J. Stat. Phys. 50, 1069 (1988)
L. Leger, H. Hervet, F. Rondelez: Macromolecules 14, 1732 (1982)
A. Baumgartner, K. Binder: J. Chem. Phys. 75, 2994 (1981)
K. Kremer, G.S. Grest: J. Chem. Phys. 92, 5057 (1990)
A. Kolinski, J. Skolnick, R. Yaris: J. Chem. Phys. 86, 7174 (1987)
D. Richter, K. Binder, B. Ewen, B. Stuhn: J. Phys. Chem. 88, 6618 (1984)
J.S. Higgins, J.E. Roots: J. Chem. Soc. Faraday Trans. II 81, 755 (1985)
R.H. Ottewill,. C.H. Rochester, A.L. Smith, eds.: Adsorption from Solutions (Academic, New York 1983)
T.C. Lubensky, M.H. Rubin: Phys. Rev. B 11, 543 (1975)
T.C. Lubensky, M.H. Rubin: Phys. Rev. B 12, 3885 (1975)
K. Binder, in: Phase Transitions and Critical Phenomena , vol. 8, ed. by C. Domb, J. Lebowitz (Academic, New York 1983)
A.J. Bray, M.A. Moore: J. Phys. A 11, 1927 (1977)
E. Eisenriegler, K. Binder, K. Kremer: J. Chem. Phys. 77, 6296 (1982)
P.G. de Gennes: J. Physique 37, 1445 (1976)
E. Bouchaud, M. Daoud: J. Physique 48, 1991 (1987)
P.G. de Gennes: Macromolecules 13, 1069 (1980)
P.G. de Gennes, P. Pincus: J. Physique Lett. 44, 241 (1983)
P.G. de Gennes: Comptes Rendus Ac. Sci. (Paris) II, 294, 1317 (1982)
E. Bouchaud, M. Daoud: J. Phys. A 20, 1463 (1987)
M.F. Shlesinger: Ann. Rev. Phys. Chem. 39, 269 (1988)
M.F. Klafter, in: On Growth and Form: Fractal and Non-Fractal Patterns in Physics ,ed. by H.E. Stanley and N. Ostrowsky (Nijhoff, Dordrecht 1985)
F. Shlesinger, G.M. Zaslavshy, J. Klafter: Nature 363, 31 (1993)
M. Kawaguchi, M. Mikura, A. Takahashi: Macromolecules 17, 2063 (1984)
R. Varoqui, P. Dejardin: J. Chem. Phys. 66, 4395 (1977)
E. Pefferkorn, A. Carroy, R. Varoqui: J. Pol. Sci. Pol. Phys. Ed. 23, 1997 (1985)
L. Auvray, J.P. Cotton: Macromolecules, 20, 202 (1986)
X. Sun, B. Farnoux, E. Bouchaud, A. Lapp, M. Daoud, G. Jannink: Europhys. Lett. 6, 207 (1988)
T. Cosgrove, T.G. Heath, K. Ryan, T.L. Crowley: Macromolecules 20, 2879 (1987)
D. Hone, H. Ji, P. Pincus: Macromolecules 20, 2543 (1987)
F. Brochard: J. Physique 46, 2117 (1985)
D. Stauffer: J. Chem. Soc. Faraday Trans. II 72, 1354 (1976)
H. Nakanishi, H.E. Stanley: Phys. Rev. B 22, 2466 (1980)
P.J. Reynolds, W. Klein, H.E. Stanley: J. Phys. C 10, L167 (1977)
P.J. Reynolds, H.E. Stanley, W. Klein: Phys. Rev. B 21, 1223 (1980)
T.C. Lubensky, J. Isaacson: Phys. Rev. Lett. 41, 829 (1978)
T.C. Lubensky, J. Isaacson: Phys. Rev. A 20, 2130 (1979)
B. Derrida, J. Vannimenus: J. Physique Lett. 41, 473 (1980)
G. Parisi, N. Sourlas: Phys. Rev. Lett. 46, 891 (1981)
B. Derrida, L. de Seze: J. de Phys. 43, 475 (1982)
F. Family: J. Phys. A 16, L97 (1983)
B. Derrida, D. Stauffer, H.J. Herrmann, J. Vannimenus: J. de Phys. Lett. 44, 701 (1983)
H.J. Herrmann, B. Derrida, J. Vannimenus: Phys. Rev. B 30, 4080 (1984)
J. Isaacson, T.C. Lubensky: J. Phys. 42, 175 (1981)
M.E. Cates: J. de Phys. Lett. 38, 2957 (1985)
M. Daoud, J.E. Martin, in: The Fractal Approach to Heterogeneous Chemistry ed. by D. Avnir (Wiley, New York 1990)
P.G. de Gennes: J. Pol. Sci. Pol., Symp. 61, 313 (1977)
B.H. Zimm, W.H. Stockmayer: J. Chem. Phys. 17, 1301 (1949)
E.V. Patton, J.A. Wesson, M. Rubinstein, J.C. Wilson, L.E. Oppenheimer: Macromolecules 22, 1946 (1989)
M. Daoud, J.F. Joanny: J. de Phys. 42, 1359 (1981)
M. Daoud, F. Family, G. Jannink: J. de Phys. Lett. 45, 119 (1984)
S.J. Candau, M. Ankrim, J.P. Munch, P. Rempp, G. Hild, R. Osaka, in: Physical Optics of Dynamical Phenomena in Macromolecular Systems (W. De Gruyter, Berlin 1985), p. 145
F. Schosseler, L. Leibler: J. Phys. Lett. 45, 501 (1984)
F. Schosseler, L. Leibler: Macromolecules 18, 398 (1985)
J.E. Martin, B.J. Ackerson, Phys. Rev. A 31, 1180 (1985)
E. Bouchaud, M. Delsanti, M. Adam, M. Daoud, D. Durand: J. Physique Lett. 47, 1273 (1986)
M. Daoud, L. Leibler: Macromolecules, 41, 1497 (1988)
P.G. de Gennes: J. de Phys. Lett. 38, 355 (1977)
M. Daoud: J. de Phys. Lett. 40, 201 (1979)
C. Allain, L. Salome: Macromolecules, 20, 2957 (1987)
L. Salome: Ph.D. Thesis, Universite Paris 11 (1987)
M. Daoud, A. Johner: J. Physique 50, 2147 (1989)
S.J. Candau, J. Bastide, M. Delsanti: Adv. Pol. Sci. 44, 27 (1982)
R.W. Richards, N.S. Davidson: Macromolecules, 19, 1381 (1986)
J.P. Cohen Addad, C. Scmit: J. Pol. Sci., Pol. Lett. 25, 487 (1987)
S. Mallam, F. Horkay, A.M. Hecht, E. Geissler: Macromolecules, 22, 3356 (1989)
J.P. Munch, M. Delsanti, D. Durand: Europhys. Lett. 18, 557 (1992)
J. des Cloizeaux, G. Jannink: Physica, 102 A, 120 (1980)
P.G. de Gennes: J. Physique Lett. 37, 1 (1976)
P.G. de Gennes: J. Physique Lett. 40, 197 (1979)
M.J. Stephen: Phys. Rev. B 17, 4444 (1978)
A. Coniglio, H.E. Stanley: Phys. Rev. Lett. 52, 1068 (1984)
J. Kertesz: J. Phys. A 16, L471 (1983)
A.L. Efros, B.I. Shklovskii: Physica Status Solidi, B 76 475 (1976)
D.C. Hong, H.E. Stanley, A. Coniglio, A. Bunde: Phys. Rev. B 33, 4564 (1984)
J.M. Laugier, J.P. Clerc, G. Giraud, J.M. Luck: J. Phys. A 19, 3153 (1986)
M. Daoud, D.C. Hong, F. Family: J. Phys, A 21, L917 (1988)
D. Durand, M. Delsanti, M. Adam, J.M. Luck: Europhys. Lett. 3, 297 (1987)
M. Rubinstein, R.H. Colby, J.R. Gillmor: Pol. Preprint, 30, 1 (1989)
J.E. Martin, D. Adolf, J.P. Wilcoxon: Phys. Rev. Lett. 61, 2620 (1988)
M. Axelos, M. Kolb: Phys. Rev. Lett. 64, 1457 (1990)
F. Devreux, J.P. Boilot, F. Chaput, L. Malier, M.A.V. Axelos, to be published.
J.D. Ferry: Viscoelastic Properties of Polymers (Wiley, New York 1980)
M. Daoud: J. Phys. A 21, L973 (1988)
J.E. Martin, J. Wilcoxon, D. Adolf: Phys. Rev. A 36, 3415 (1987)
M. Daoud, A. Coniglio: J. Phys. A 14, L301 (1981)
W.H. Stockmayer, in: Molecular Fluids ,ed. by R. Balian and G. Weill (Gordon and Breach, New York 1977)
J. Kertesz: J. Phys. A 16, L471 (1983)
A. Coniglio, H.E. Stanley: Phys. Rev. Lett. 52, 1068 (1984)
A. Coniglio, F. Family: J. Physique Lett. 46, 9 (1985)
S. Roux: C.R. Ac. Sci. (Paris) 301, 367 (1985)
J.E. Martin, J. Wilcoxon, J. Odine: Phys Rev. A 43, 858 (1991)
see also J. E. Martin, in: Time Dependent Effects in Disordered Systems ,ed. by R. Pynn and T. Riste (Plenum, New York 1987), p. 425
M. Rubinstein, R. Colby, J.R. Gillmor: Space-Time Organization in Complex Fluids ,ed. by F. Tanaka, M. Doi, T. Ohta, (Springer Series in Chemical Physics 51, 1989)
W.F. Shi, W.B. Wang, CM. Sorensen: unpublished
M. Adam, M. Delsanti: Contemporary Physics 3, 203 (1989)
S. Alexander, in: The Physics of Finely Divided Matter ,ed. by M. Daoud and N. Boccara (Springer Verlag, Berlin 1985)
D.J. Bergman, Y. Kantor: Phys. Rev. Lett. 53, 511 (1984)
Y. Kantor, I. Webman: Phys. Rev. Lett. 52, 1891 (1984)
S. Feng, P. Sen: Phys. Rev. Lett. 52, 216 (1984)
S. Alexander: J. Physique 45, 1939 (1984)
S. Arbabi, M. Sahimi: Phys. Rev. Lett. 65, 725 (1990)
S. Alexander, R. Orbach: J. de Phys. Lett. 43, 625 (1982)
R. Rammal, G. Toulouse: J. de Phys. Lett. 44, 13 (1983)
E. Courtens, J. Pelous, J. Phalippou, R. Vacher, T. Woignier: Phys. Rev. Lett. 58, 128 (1987)
S. Havlin, D. Ben Avraham: Adv. in Phys. 36, 695 (1987)
H.E. Roman, M. Schwartz, A. Bunde, S. Havlin: Europhys. Lett. 7, 389 (1988)
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Daoud, M. (1994). Polymers. In: Bunde, A., Havlin, S. (eds) Fractals in Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77953-4_6
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