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Summary
This summary is machine-generated.

This study investigates random sequential adsorption of tortuous k-mers on lattices. Jamming coverage increases with lattice connectivity and is higher for tortuous k-mers than linear ones.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Statistical Mechanics

Background:

  • Random sequential adsorption (RSA) is a fundamental process in surface science.
  • Understanding jamming coverage is crucial for designing surface coatings and materials.
  • Previous studies focused on linear adsorbates, leaving extended, non-linear objects less explored.

Purpose of the Study:

  • To investigate the random sequential adsorption of tortuous k-mers on 2D lattices.
  • To determine how jamming coverage depends on k-mer length and lattice connectivity.
  • To compare the adsorption behavior of tortuous k-mers with linear k-mers.

Main Methods:

  • Numerical simulations using an efficient algorithm for RSA.
  • Modeling adsorbate as self-avoiding walks of k steps on regular lattices (honeycomb, square, triangular).
  • Analysis of jamming coverage (θ_{j,k}) and time-dependent surface coverage (θ_{k}(t)).

Main Results:

  • Jamming coverage (θ_{j,k}) increases with lattice connectivity.
  • A universal fitting function θ_{j,k}=θ_{j,k→∞}+B/k+C/k^{2} describes the k-dependence across lattices.
  • Tortuous k-mers achieve higher jamming coverage than linear k-mers on the same lattices.

Conclusions:

  • Lattice connectivity significantly influences jamming coverage in RSA of extended objects.
  • The tortuous nature of k-mers enhances surface packing efficiency compared to linear counterparts.
  • The developed computational method allows detailed kinetic analysis of adsorption processes.