We present a systematic study of dynamical heterogeneity in a model for permanent gels upon approaching the gelation threshold. We find that the fluctuations of the self-intermediate scattering function are increasing functions of time, reaching a plateau whose value, at large length scales, coincides with the mean cluster size and diverges at the percolation threshold. Another measure of dynamical heterogeneities-i.e., the fluctuations of the self-overlap-displays instead a peak and decays to zero at long times. The peak, however, also scales as the mean cluster size. Arguments are given for this difference in the long-time behavior. We also find that the non-Gaussian parameter reaches a plateau in the long-time limit. The value of the plateau of the non-Gaussian parameter, which is connected to the fluctuations of diffusivity of clusters, increases with the volume fraction and remains finite at the percolation threshold. for LaTeX users @article{TAbete2008-78, author = {T. Abete and A. de Candia and E. Del Gado and A. Fierro and A. Coniglio}, title = {Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities}, journal = {Phys. Rev. E}, volume = {78}, pages = {041404}, year = {2008} }
\bibitem{TAbete2008-78} T. Abete, A. de Candia, E. Del Gado, A. Fierro, A. Coniglio, Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities, Phys. Rev. E {\bf 78} (2008) 041404.TAbete2008-78 T. Abete, A. de Candia, E. Del Gado, A. Fierro, A. Coniglio Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities Phys. Rev. E,78,2008,041404 |