The pathlength distribution of simulated aerogels

T. M. Haard*, G. Gervais, R. Nomura, W. P. Halperin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


The diffusion limited cluster aggregation (DLCA) model is a simple algorithm that simulates the growth of silica aerogels and can be used to compare with scattering experiments. In order to study the properties of helium liquids within aerogel we have extended application of the DLCA model to lengthscales larger than the mean free path. Of particular importance are the effects of the model's periodic boundary conditions. When these are accounted for the distribution function beyond a few hundred Angstroms develops into a simple exponential decay which can be extrapolated, allowing a precise determination of the mean free path, ℓ We find ℓ is inversely proportional to the density, ρ, over the range investigated, 0.001 < ρ < 0.05.

Original languageEnglish (US)
Pages (from-to)289-290
Number of pages2
JournalPhysica B: Condensed Matter
Issue numberPART I
StatePublished - 2000


  • Aerogel
  • Diffusion limited cluster aggregation
  • He normal liquid in aerogel
  • He superfluid in aerogel
  • Mean free path

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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