Abstract
It has been assumed until very recently that all long-range correlations are screened in three-dimensional melts of linear homopolymers on distances beyond the correlation length ξ characterizing the decay of the density fluctuations. Summarizing simulation results obtained by means of a variant of the bond-fluctuation model with finite monomer excluded volume interactions and topology violating local and global Monte Carlo moves, we show that due to an interplay of the chain connectivity and the incompressibility constraint, both static and dynamical correlations arise on distances r≫ξ. These correlations are scale-free and, surprisingly, do not depend explicitly on the compressibility of the solution. Both monodisperse and (essentially) Flory-distributed equilibrium polymers are considered.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Chaikin, P.M., Lubensky, T.C.: Principles of Condensed Matter Physics. Cambridge University Press, Cambridge (1995)
Flory, P.J.: Statistical Mechanics of Chain Molecules. Oxford University Press, New York (1988)
de Gennes, P.G.: Scaling Concepts in Polymer Physics. Cornell University Press, Ithaca (1979)
Doi, M., Edwards, S.F.: The Theory of Polymer Dynamics. Clarendon Press, Oxford (1986)
Higgins, J., Benoît, H.: Polymers and Neutron Scattering. Oxford University Press, Oxford (1996)
des Cloizeaux, J., Jannink, G.: Polymers in Solution: Their Modelling and Structure. Clarendon Press, Oxford (1990)
Schäfer, L.: Excluded Volume Effects in Polymer Solutions. Springer, New York (1999)
Rubinstein, M., Colby, R.: Polymer Physics. Oxford University Press, Oxford (2003)
Oozawa, F., Asakura, S.: Thermodynamics in the Polymerization of Proteins. Academic Press, New York (1975)
Witten, T., Pincus, P.A.: Structured Fluids: Polymers, Colloids, Surfactants. Oxford University Press, Oxford (2004)
Dhont, J.K.G.: An Introduction to Dynamics of Colloids. Elsevier, Amsterdam (1996)
Semenov, A.N., Joanny, J.F., Khokhlov, A.: Macromolecules 28, 1066 (1995)
Clément, F., Johner, A., Joanny, J.F., Semenov, A.: Macromolecules 33, 6148 (2000)
Rubinstein, M., Semenov, A.: Macromolecules 34, 1058 (2001)
Morris, P.J.: Polymer Pioneers: A Popular History of the Science and Technology of Large Molecules. University of Pennsylvania Press, Philadelphia (1989)
Furukawa, Y.: Inventing Polymer Science: Staudinger, Carothers, and the Emergence of Macromolecular Chemistry. University of Pennsylvania Press, Philadelphia (1998)
Cates, M., Candau, S.: J. Phys., Condens. Matter 2, 6869 (1990)
Semenov, A.N., Obukhov, S.P.: J. Phys., Condens. Matter 17, 1747 (2005)
Mandelbrot, B.: The Fractal Geometry of Nature. Freeman, San Francisco (1982)
Israelachvili, J.N.: Intramolecular and Surface Forces. Academic Press, San Diego (1991)
Vanderzande, C.: Lattice Models of Polymers. Cambridge University Press, Cambridge (2004)
Allen, M., Tildesley, D.: Computer Simulation of Liquids. Oxford University Press, Oxford (1994)
Thijssen, J.: Computational Physics. Cambridge University Press, Cambridge (1999)
Frenkel, D., Smit, B.: Understanding Molecular Simulation—From Algorithms to Applications, 2nd edn. Academic Press, San Diego (2002)
Binder, K., Herrmann, D.: Monte Carlo Simulation in Statistical Physics: An Introduction, 5th edn. Springer, Heidelberg (2002)
Landau, D.P., Binder, K.: A Guide to Monte Carlo Simulations in Statistical Physics. Cambridge University Press, Cambridge (2000)
Krauth, W.: Statistical Mechanics: Algorithms and Computations. Oxford University Press, Oxford (2006)
Carmesin, I., Kremer, K.: Macromolecules 21, 2819 (1988)
Baschnagel, J., Wittmer, J.P., Meyer, H.: In: Attig, N. (ed.) Computational Soft Matter: From Synthetic Polymers to Proteins. NIC Series, vol. 23, pp. 83–140. Jülich, Germany (2004)
Müller, M.: In: Yip, S. (ed.) Handbook of Materials Modeling. Springer, Netherlands (2005)
Wang, Q.: J. Chem. Phys. 131, 234903 (2009)
Kron, A.: Polym. Sci. USSR 7, 1361 (1965)
Wall, F., Mandel, F.: J. Chem. Phys. 63, 4592 (1975)
Escobedo, F.A., de Pablo, J.J.: J. Chem. Phys. 102, 2636 (1994)
Polanowski, P., Pakula, T.: J. Chem. Phys. 117, 4022 (2002)
Karayiannis, N., Giannousaki, A., Mavrantzas, V., Theodorou, D.: J. Chem. Phys. 117, 5465 (2002)
Banaszak, B.J., de Pablo, J.J.: J. Chem. Phys. 119, 2456 (2003)
Flory, P.J.: J. Chem. Phys. 13, 453 (1945)
Flory, P.J.: J. Chem. Phys. 17, 303 (1949)
Edwards, S.: Proc. Phys. Soc. 85, 613 (1965)
Edwards, S.: Proc. Phys. Soc. 88, 265 (1966)
Edwards, S.: J. Phys. A, Math. Gen. 8, 1670 (1975)
Muthukumar, M., Edwards, S.: J. Chem. Phys. 76, 2720 (1982)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1964)
Lodge, T., Rotstein, N., Prager, S.: Adv. Chem. Phys. 79, 1 (1990)
Semenov, A.N.: In: McLeish, T. (ed.) Theoretical Challenges in the Dynamics of Complex Fluids, pp. 63–86. Kluwer, Dordrecht (1997)
Semenov, A.N., Rubinstein, M.: Eur. Phys. J. B 1, 87 (1998)
Deutsch, J.M.: Phys. Rev. Lett. 54, 56 (1985)
Mattioni, L., Wittmer, J.P., Baschnagel, J., Barrat, J.L., Luijten, E.: Eur. Phys. J. E 10, 369 (2003)
Paul, W., Binder, K., Heermann, D., Kremer, K.: J. Phys., II 1, 37 (1991)
Paul, W., Binder, K., Heermann, D., Kremer, K.: J. Chem. Phys. 95, 7726 (1991)
Wittmer, J.P., Paul, W., Binder, K.: Macromolecules 25, 7211 (1992)
Wittmer, J.P., Paul, W., Binder, K.: J. Phys., II 4, 873 (1994)
Shaffer, J.S.: J. Chem. Phys. 101, 4205 (1994)
Shaffer, J.S.: J. Chem. Phys. 103, 761 (1995)
Kreer, T., Baschnagel, J., Müller, M., Binder, K.: Macromolecules 34, 1105 (2001)
Hagita, K., Takano, H.: J. Phys. Soc. Jpn. 72, 1824 (2003)
Grest, G.S., Kremer, K.: Phys. Rev. A 33, 3628 (1986)
Kremer, K., Grest, G.: J. Chem. Phys. 92, 5057 (1990)
Plimpton, S.J.: J. Comput. Phys. 117, 1 (1995)
Padding, J.T., Briels, W.J.: J. Chem. Phys. 114, 8685 (2001)
Padding, J.T., Briels, W.J.: J. Chem. Phys. 117, 925 (2002)
Everaers, R., Sukumaran, S., Grest, G., Svaneborg, C., Sivasubramanian, A., Kremer, K.: Science 303, 823 (2004)
Meyer, H., Kreer, T., Cavallo, A., Wittmer, J.P., Baschnagel, J.: Eur. Phys. J., Spec. Top. 141, 167 (2007)
Wang, Q., Yin, Y.: J. Chem. Phys. 130, 104903 (2009)
Dünweg, B.: J. Chem. Phys. 99, 6977 (1993)
Ahlrichs, P., Everaers, R., Dünweg, B.: Phys. Rev. E 64, 040501 (2001)
Spenley, N.: Europhys. Lett. 49, 534 (2000)
Nikomarov, E., Obukhov, S.: Sov. Phys. JETP 53, 328 (1981)
Curro, J., Schweizer, K., Grest, G., Kremer, K.: J. Chem. Phys. 91, 1359 (1991)
Müller, M., Binder, K., Schäfer, L.: Macromolecules 33, 4568 (2000)
Wang, Z.G.: J. Chem. Phys. 117, 481 (2002)
Auhl, R., Everaers, R., Grest, G., Kremer, K., Plimpton, S.: J. Chem. Phys. 119, 12718 (2003)
Shirvanyants, D., Panyukov, S., Liao, Q., Rubinstein, M.: Macromolecules 1, 1475 (2008)
Morse, D., Chung, J.: J. Chem. Phys. 130, 224901 (2009)
Qin, J., Morse, D.: J. Chem. Phys. 130, 224902 (2009)
Paul, W., Smith, G.D., Yoon, D.Y., Farago, B., Rathgeber, S., Zirkel, A., Willner, L., Richter, D.: Phys. Rev. Lett. 80, 2346 (1998)
Smith, G., Paul, W., Monkenbusch, M., Richter, D.: Chem. Phys. 261, 61 (2000)
Paul, W., Smith, G.: Rep. Prog. Phys. 67, 1117 (2004)
Wittmer, J.P., Meyer, H., Baschnagel, J., Johner, A., Obukhov, S.P., Mattioni, L., Müller, M., Semenov, A.N.: Phys. Rev. Lett. 93, 147801 (2004)
Wittmer, J.P., Beckrich, P., Crevel, F., Huang, C.C., Cavallo, A., Kreer, T., Meyer, H.: Comput. Phys. Commun. 177, 146 (2007)
Wittmer, J.P., Beckrich, P., Johner, A., Semenov, A.N., Obukhov, S.P., Meyer, H., Baschnagel, J.: Europhys. Lett. 77, 56003 (2007)
Beckrich, P., Johner, A., Semenov, A.N., Obukhov, S.P., Benoît, H.C., Wittmer, J.P.: Macromolecules 40, 3805 (2007)
Wittmer, J.P., Beckrich, P., Meyer, H., Cavallo, A., Johner, A., Baschnagel, J.: Phys. Rev. E 76, 011803 (2007)
Meyer, H., Wittmer, J.P., Kreer, T., Beckrich, P., Johner, A., Farago, J., Baschnagel, J.: Eur. Phys. J. E 26, 25 (2008)
Wittmer, J.P., Cavallo, A., Kreer, T., Baschnagel, J., Johner, A.: J. Chem. Phys. 131, 064901 (2009)
Wittmer, J.P., Johner, A., Obukhov, S.P., Meyer, H., Cavallo, A., Baschnagel, J.: Macromolecules 43, 1621 (2010)
Wittmer, J.P., Johner, A., Cavallo, A., Beckrich, P., Crevel, F., Baschnagel, J.: Eur. Phys. J. E 31, 229 (2010)
Semenov, A.: Macromolecules 43, 9139–9154 (2010)
Wittmer, J., Polińska, P., Cavallo, A., Meyer, H., Farago, J., Johner, A., Baschnagel, J.: J. Chem. Phys. 134, 234901 (2011)
Farago, J., Meyer, H., Semenov, A., Johner, A., Wittmer, J., Baschnagel, J.: Phys. Rev. E (2011, submitted)
Farago, J., Meyer, H., Semenov, A.: Phys. Rev. Lett. (2011, in press)
Farago, J., Meyer, H., Baschnagel, J., Semenov, A.: Phys. Rev. E (2011, submitted)
Semenov, A.N., Johner, A.: Eur. Phys. J. E 12, 469 (2003)
Cavallo, A., Müller, M., Wittmer, J.P., Johner, A., Binder, K.: J. Phys., Condens. Matter 17, S1697 (2005)
Lee, N., Farago, J., Meyer, H., Wittmer, J., Baschnagel, J., Obukhov, S., Johner, A.: Europhys. Lett. 96, 48002 (2011)
Wittmer, J.P., Schulmann, N., Polińska, P., Baschnagel, J.: J. Chem. Phys. (2011, submitted)
Kolinski, A., Skolnick, J., Yaris, R.: J. Chem. Phys. 86, 1567 (1987)
Kolinski, A., Skolnick, J., Yaris, R.: J. Chem. Phys. 86, 7164 (1987)
Kolinski, A., Skolnick, J., Yaris, R.: J. Chem. Phys. 86, 7174 (1987)
Guenza, M.: Phys. Rev. Lett. 88, 025901 (2002)
Doxastakis, M., Theodorou, D., Fytas, G., Kremer, F., Faller, R., Müller-Plathe, F., Hadjichristidis, N.: J. Chem. Phys. 119, 6883 (2003)
Logotheti, G., Theodorou, D.: Macromolecules 40, 2235 (2007)
Scott, R.: J. Phys. Chem. 69, 261 (1965)
Wheeler, J., Kennedy, S., Pfeuty, P.: Phys. Rev. Lett. 45, 1748 (1980)
Faivre, G., Gardissat, J.: Macromolecules 19, 1988 (1986)
Rouault, Y., Milchev, A.: Phys. Rev. E 51, 5905 (1995)
Wittmer, J.P., Milchev, A., Cates, M.E.: Europhys. Lett. 41, 291 (1998)
Wittmer, J.P., Milchev, A., Cates, M.E.: J. Chem. Phys. 109, 834 (1998)
Milchev, A.: In: Borowko, M. (ed.) Computational Methods in Colloid and Interface Science, p. 510. Dekker, New York (2000),
Huang, C.C., Xu, H., Crevel, F., Wittmer, J., Ryckaert, J.P.: In: Computer Simulations in Condensed Matter: From Materials to Chemical Biology. Springer Lect. Notes Phys., vol. 704, pp. 379–418. International School of Solid State Physics, Berlin/Heidelberg (2006)
Kröger, M., Makhloufi, R.: Phys. Rev. E 53, 2531 (1996)
Padding, J., Boek, E.: Phys. Rev. E 66, 756 (2004)
Erukhimovich, I.Y., Semenov, A.N.: Sov. Phys. JETP 28, 149 (1986)
Semenov, A.N., Anastiadis, S., Boudenne, N., Fytas, G., Xenidou, M., Hadjichristidis, N.: Macromolecules 30, 6280 (1997)
Brochard, F., de Gennes, P.G.: J. Phys. Lett. 40, L399 (1979)
Obukhov, S.P., Semenov, A.N.: Phys. Rev. Lett. 95, 038305 (2005)
van Kampen, N.G.: Stochastic Processes in Physics and Chemistry. North-Holland, Amsterdam (1992)
Chandler, D.: Introduction to Modern Statistical Mechanics. Oxford University Press, New York (1987)
Meyer, H., Schulmann, N., Zabel, J.E., Wittmer, J.P.: Comput. Phys. Commun. 182, 1949 (2011)
Meyer, H., Kreer, T., Aichele, M., Cavallo, A., Johner, A., Baschnagel, J., Wittmer, J.P.: Phys. Rev. E 79, 050802(R) (2009)
Meyer, H., Wittmer, J.P., Kreer, T., Johner, A., Baschnagel, J.: J. Chem. Phys. 132, 184904 (2010)
Müller, M., Wittmer, J.P., Cates, M.E.: Phys. Rev. E 61, 4078 (2000)
Vettorel, T., Grosberg, A., Kremer, K.: Phys. Biol. 6, 025013 (2009)
Eurich, F., Maass, P.: J. Chem. Phys. 114, 7655 (2001)
Likos, C.: Phys. Rep. 348, 267 (2001)
Wu, D., Fredrickson, G., Carton, J.P., Ajdari, A., Leibler, L.: J. Polym. Sci., Part B, Polym. Phys. 33, 2373 (1995)
Wittmann, H.P., Kremer, K.: Comput. Phys. Commun. 61, 309 (1990)
Deutsch, H., Dickman, R.: J. Chem. Phys. 93, 8983 (1990)
Deutsch, H., Binder, K.: J. Chem. Phys. 94, 2294 (1991)
Müller, M., Paul, W.: J. Chem. Phys. 100, 719 (1994)
Wilding, N., Müller, M.: J. Chem. Phys. 101, 4324 (1994)
Rubio, A., Lodge, J., Freire, J.: Macromolecules 35, 5295 (2002)
Müller, M., Wittmer, J.P., Cates, M.E.: Phys. Rev. E 53, 5063 (1996)
Müller, M., Wittmer, J.P., Barrat, J.L.: Europhys. Lett. 52, 406 (2000)
Müller, M.: EPFL Supercomput. Rev. 7, 21 (1995)
Müller, M.: Macromol. Theory Simul. 8, 343 (1999)
Cavallo, A., Müller, M., Binder, K.: Europhys. Lett. 61, 214 (2003)
Cavallo, A., Müller, M., Binder, K.: J. Phys. Chem. B 109, 6544–6552 (2005)
Kamath, S., Colby, R., Kumar, S.: Macromolecules 36, 8567 (2003)
Sommer, J.U., Saalwächter, K.: Eur. Phys. J. E 18, 167 (2005)
Okun, K., Wolfgardt, M., Baschnagel, J., Binder, K.: Macromolecules 30, 3075 (1997)
Binder, K., Baschnagel, J., Paul, W.: Prog. Polym. Sci. 28, 115 (2003)
Molina-Mateo, M., Meseguer-Duenas, J., Gomez-Ribelles, J.: Polymer 46, 7463 (2005)
Freire, J.: J. Phys., Condens. Matter 20, 285102 (2008)
Arnoult, M., Saiter, J., Pareige, C., Duenas, J., Ribelles, J., Mateo, J.: J. Chem. Phys. 130, 214905 (2009)
Werner, A., Schmid, F., Müller, M.: J. Chem. Phys. 110, 5370 (1999)
Luettmer-Strathmann, J., Rampf, F., Paul, W., Binder, K.: J. Chem. Phys. 128, 064903 (2008)
Wittmer, J., Johner, A., Joanny, J.F., Binder, K.: J. Chem. Phys. 101, 4379 (1994)
Kopf, A., Baschnagel, J., Wittmer, J., Binder, K.: Macromolecules 29, 1433 (1996)
Wittmer, J.P., Cates, M.E., Johner, A., Turner, M.S.: Europhys. Lett. 33, 397 (1996)
Khalatur, P., Khokhlov, A., Prokhorova, S., Sheiko, S., Möller, M., Reineker, P., Shirvanyanz, D.: Eur. Phys. J. E 1, 99 (2000)
Mischler, C., Baschnagel, J., Binder, K.: Adv. Colloid Interface Sci. 94, 197 (2001)
Müller, M.: J. Chem. Phys. 116, 9930 (2002)
Mischler, C., Baschnagel, J., Dasgupta, S., Binder, K.: Macromolecules 43, 467 (2002)
Cavallo, A., Wittmer, J., Johner, A., Baschnagel, J.: J. Chem. Phys. (2011). doi:10.1063/1.1477454
Cavallo, A., Müller, M., Binder, K.: Macromolecules 39, 9539 (2006)
Cavallo, A., Müller, M., Binder, K.: Macromolecules 41, 4937 (2008)
Feynmann, R.P., Leighton, R.: Surely You’re Joking, Mr. Feynman. Norton, New York (1985)
van der Schoot, P., Wittmer, J.P.: Macromol. Theory Simul. 8, 428 (1999)
Milchev, A., Wittmer, J.P., Landau, D.P.: Phys. Rev. E 61, 2959 (2000)
Wittmer, J.P., Milchev, M., van der Schoot, P., Barrat, J.L.: J. Chem. Phys. 113, 6992 (2000)
Szwarc, M.: Nature 178, 1168 (1956)
O’Shaughnessy, B., Yu, J.: Phys. Rev. Lett. 74, 4329 (1995)
McQuarrie, D.A.: Statistical Mechanics. University Science Books, Sausalito (2000)
Yerukhimovich, I.: Polym. Sci. USSR 19, 2743 (1977)
Shimomura, K., Nakanishi, H., Mitarai, N.: Phys. Rev. E 80, 051804 (2009)
Daoulas, K.C., Müller, M.: J. Chem. Phys. 125, 184904 (2006)
Rawiso, M., Duplessix, R., Picot, C.: Macromolecules 20, 630 (1987)
Gagliardi, S., Arrighi, V., Ferguson, R., Dagger, A.C., Semlyen, J.A., Higgins, J.S.: J. Chem. Phys. 122, 064904 (2005)
Hansen, J., McDonald, I.: Theory of Simple Liquids. Academic Press, New York (1986)
Fuchs, M., Kroy, K.: J. Phys., Condens. Matter 14, 9223 (2002)
Hagen, M.H.J., Pagonabarraga, I., Lowe, C.P., Frenkel, D.: Phys. Rev. Lett. 78, 3785 (1997)
Williams, S., Bryant, G., Snook, I., van Megen, W.: Phys. Rev. Lett. 96, 087801 (2006)
Bauer, T., Höfling, F., Munk, T., Frey, E., Franosch, T.: Eur. Phys. J., Spec. Top. 189, 103 (2010)
Wittmer, J.P., Johner, A., Obukhov, S.P., Polińska, P., Benzerara, O., Meyer, H., Baschnagel, J.: Eur. Phys. E (2011, in preparation)
Schweizer, K.: J. Chem. Phys. 91, 5802 (1989)
Chong, S., Aichele, A., Meyer, H., Fuchs, M., Baschnagel, J.: Phys. Rev. E 76, 051806 (2007)
Wittmer, J.P., Meyer, H., Johner, A., Kreer, T., Baschnagel, J.: Phys. Rev. Lett. 105, 037802 (2010)
Duplantier, B.: J. Stat. Phys. 54, 581 (1989)
Svaneborg, C., Grest, G., Everaers, R.: Europhys. Lett. 72, 760 (2005)
Müller, M., Smith, G.D.: J. Polym. Sci., Part B, Polym. Phys. 43, 934 (2005)
Meyer, E., Overney, R., Dransfeld, K., Gyalog, T.: Nanoscience: Friction and Rheology on the Nanometer Scale. World Scientific, Singapore (1998)
Frank, B., Gast, A., Russel, T., Brown, H., Hawker, C.: Macromolecules 29, 6531 (1996)
Jones, R., Kumar, S., Ho, D., Briber, R., Russel, T.: Nature 400, 146 (1999)
Maier, B., Rädler, J.O.: Phys. Rev. Lett. 82, 1911 (1999)
Granick, S., Kumar, S., Amis, E., et al.: J. Polym. Sci., Prat B 41, 2755 (2003)
Shin, K., Xiang, H., Moon, S., Kim, T., MacCarthy, T., Russel, T.: Science 306, 76 (2004)
O’Connell, P., McKenna, G.: Science 307, 1760 (2005)
Gavranovic, G.T., Deutsch, J.M., Fuller, G.G.: Macromolecules 38, 6672 (2005)
Sun, F., Dobrynin, A., Shirvanyants, D., Lee, H., Matyjaszewski, K., Rubinstein, G., Rubinstein, M., Sheiko, S.: Phys. Rev. Lett. 99, 137801 (2007)
Shin, K., Obukhov, S., Chen, J.T., Huh, J., Hwang, Y., Mok, S., Dobriyal, P., Thiyagarjan, P., Russell, T.: Nat. Mater. 6, 961 (2007)
Eisenriegler, E.: Polymers Near Surfaces. World Scientific, Singapore (1993)
Jacobson, J.L., Read, N., Saleur, H.: Phys. Rev. Lett. 90, 090601 (2003)
Ikhlef, Y., Jacobson, J., Saleur, H.: J. Stat. Mech. Theory Exp. 5, P05005 (2007)
Wong, P.Z., Bray, A.J.: Phys. Rev. Lett. 60, 1344 (1988)
Halverson, J.D., Lee, W., Grest, G., Grosberg, A., Kremer, K.: J. Chem. Phys. 134, 204904 (2011)
Cates, M., Deutsch, J.: J. Phys. 47, 2121 (1986)
Obukhov, S., Rubinstein, M., Duke, T.: Phys. Rev. Lett. 73, 1263 (1994)
Hur, K., Winkler, R.G., Yoon, D.Y.: Macromolecules 39, 3975 (2006)
Suzuki, J., Takano, A., Deguchi, T., Matsushita, Y.: J. Chem. Phys. 131, 144902 (2009)
Hur, K., Jeong, C., Winkler, R., Lacevic, N., Gee, R., Yoon, D.: Macromolecules 44, 2311 (2011)
West, G.B., Brown, J.H., Enquist, B.J.: Science 284, 1677 (1999)
Milchev, A.: Eur. Phys. J. E 8, 531 (2002)
Ermak, D.: J. Chem. Phys. 62, 4189 (1975)
Groot, R., Warren, P.: J. Chem. Phys. 107, 4423 (1997)
Semenov, A.N.: Phys. Rev. Lett. 80, 1908 (1998)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wittmer, J.P., Cavallo, A., Xu, H. et al. Scale-Free Static and Dynamical Correlations in Melts of Monodisperse and Flory-Distributed Homopolymers. J Stat Phys 145, 1017–1126 (2011). https://doi.org/10.1007/s10955-011-0354-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10955-011-0354-0