2002/05/16 by Sune Nørhøj Jespersen, Sune Norhoj Jespersen, Jespersen, Sune Norhoj
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0205333
Submitted to PRE
arxiv created 2002/05/16 · openalex publication_date 2002/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use molecular dynamics simulations to study a model of the gelation transition with a dynamic bond forming procedure. After establishing evidence for 3D percolation as the static universality class, we turn our attention to the dynamics of clusters at the gelation point, focusing in particular on the behavior of the diffusion constant D(s) as a function of cluster size s. We find a very clear power law behavior D(s)∼ s-k with a non-trivial exponent k≈ 0.69.