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By Fereydoon Family, Mohamed Daoud, Hans J. Herrmann, H. Eugene Stanley

Overseas Workshop and selection of articles honoring Professor Antonio Coniglio at the get together of his sixtieth birthday. convention held April 13-14, 2000 in Paris, France. meant for experts in addition to graduate and postdoctoral scholars operating in condensed-matter or statistical physics.

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Scaling and Disordered Systems

Foreign Workshop and number of articles honoring Professor Antonio Coniglio at the get together of his sixtieth birthday. convention held April 13-14, 2000 in Paris, France. meant for experts in addition to graduate and postdoctoral scholars operating in condensed-matter or statistical physics.

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Lett. 6 1 , 2620 (1988). J. Ferry, Viscoelastic Properties of Polymers (Wiley, New York, 1980). M. Daoud, J. Phys. A21, L973 (1988). P. O. Mari, I. A. Campbell, A. Alegria and J. Colmenero, Physica A21, 257 (1998). K. Broderix, H. Lowe, P. Muller and A. Zippelius, cond-mat/9811388 (1998). This page is intentionally left blank SCALING A N D FINITE-SIZE E F F E C T S FOR THE CRITICAL BACKBONE M. BARTHELEMY,* S. V. BULDYREV,* S. HAVLIN,* and H. E. STANLEY* * Center for Polymer Studies, Boston University, Boston, 02215 MA, USA ^Minerva Center and Department of Physics,Bar-Ilan University, Ramat-Gan 52900, Israel Abstract In a first part, we study the backbone connecting two given sites of a twodimensional lattice separated by an arbitrary distance r in a system of size L.

Math. Stat. 25, 631 (1954). 32. B. B. Mandelbrot and C. J. G. Evertsz, Physica A168, 95 (1990). 33. B. B. Mandelbrot, C. J. G. Evertsz and Y. Hayakawa, Phys. Rev. B42, 4528 (1990). This page is intentionally left blank ROUGHENING TRANSITION IN B R A N C H I N G P O L Y M E R S LIACIR S. L U C E N A International Center for Complex Systems and Departamento de Fisica, Universidade Federal do Rio Grande do Norte Natal, RN 59078-970, Brazil LUCIANO R. DA SILVA Center for Polymer Studies, Boston University, USA Departamento de Fisica, Universidade Federal do Rio Grande do Norte Natal, RN 59078-970, Brazil S T E P H A N E ROUX Surface du Verre et Interfaces Unite Mixte de Recherche CNRS/Saint-Gobain 39 Quai Lucien Lefranc, 93303 Aubervilliers cedex, France Abstract A growth model, introduced to model the development of branched polymers in an heterogeneous environment, gives rise to clusters whose boundary is either faceted or rough.

2 5 Furthermore, t h e screening effect of the hydrodynamic interactions in a polymeric solution at high concentrations can be quite strong, drastically reducing the range of the interactions so t h a t the Rouse model results to be in fact very satisfactory. 14 This could reasonably be the case of the sol at the gelation threshold too, and the deviation of the real critical exponent from the Rouse value would turn out to be actually very small. 5. CONCLUSIONS The model we have introduced for the study of the dynamics at the sol-gel transition is essentially based on a dynamic extension of percolation with excluded volume interactions.

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