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Kinetic percolation.

W R Heinson1, A Chakrabarti2, C M Sorensen2

  • 1Department of Energy, Environmental & Chemical Engineering, Washington University, St. Louis, Missouri 63130, USA.

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|June 17, 2017
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Summary
This summary is machine-generated.

Kinetic aggregation forms superaggregates structurally identical to static percolation aggregates. This unification bridges kinetic and static descriptions of gelation, revealing a new phase in aggregate size distribution.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Statistical Physics

Background:

  • Aggregation processes are fundamental in various scientific fields.
  • Understanding the structural similarities between kinetic and static aggregation is crucial.
  • Existing models for gelation often treat kinetic and static processes separately.

Purpose of the Study:

  • To demonstrate that kinetic aggregation forms superaggregates with structures identical to static percolation aggregates.
  • To unify the descriptions of static percolation and kinetic gelation.
  • To analyze the structural characteristics and phase behavior of aggregates formed via kinetic aggregation.

Main Methods:

  • Performing Diffusion Limited Cluster-Cluster Aggregation (DLCA) simulations.
  • Analyzing the fractal dimension of aggregates and superaggregates.
  • Comparing structural properties (packing fraction, scaling law prefactor, fractal dimension) of kinetic and static aggregates.

Main Results:

  • Kinetic aggregation yields fractal aggregates (dimension 1.8) and superaggregates (dimension 2.5).
  • Superaggregates exhibit identical structures to static percolation aggregates when normalized.
  • Superaggregates appear as a distinct phase, altering the size distribution from monomodal.

Conclusions:

  • Kinetic and static descriptions of gelation are unified through the formation of identical superaggregate structures.
  • The study provides necessary and sufficient conditions for structural identity between kinetic and static aggregates.
  • The formation of superaggregates represents a significant phase transition in aggregation processes.