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Response properties in the adsorption–desorption model on a triangular lattice

Author

Listed:
  • Šćepanović, J.R.
  • Stojiljković, D.
  • Jakšić, Z.M.
  • Budinski-Petković, Lj.
  • Vrhovac, S.B.

Abstract

The out-of-equilibrium dynamical processes during the reversible random sequential adsorption (RSA) of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. We focused on the influence of the order of symmetry axis of the shape on the response of the reversible RSA model to sudden perturbations of the desorption probability Pd. We provide a detailed discussion of the significance of collective events for governing the time coverage behavior of shapes with different rotational symmetries. We calculate the two-time density–density correlation function C(t,tw) for various waiting times tw and show that longer memory of the initial state persists for the more symmetrical shapes. Our model displays nonequilibrium dynamical effects such as aging. We find that the correlation function C(t,tw) for all objects scales as a function of single variable ln(tw)/ln(t). We also study the short-term memory effects in two-component mixtures of extended objects and give a detailed analysis of the contribution to the densification kinetics coming from each mixture component. We observe the weakening of correlation features for the deposition processes in multicomponent systems.

Suggested Citation

  • Šćepanović, J.R. & Stojiljković, D. & Jakšić, Z.M. & Budinski-Petković, Lj. & Vrhovac, S.B., 2016. "Response properties in the adsorption–desorption model on a triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 213-226.
    • Handle: RePEc:eee:phsmap:v:451:y:2016:i:c:p:213-226
    DOI: 10.1016/j.physa.2016.01.055
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    References listed on IDEAS

    as
    1. Budinski-Petković, Lj & Tošić, T, 2003. "Adsorption, desorption and diffusion of extended objects on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(3), pages 350-356.
    2. Budinski-Petković, Lj & Kozmidis-Luburić, U & Mihailović, A, 2001. "Random sequential adsorption with diffusional relaxation on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 339-344.
    3. Budinski-Petković, Lj. & Kozmidis-Luburić, U., 2001. "Adsorption–desorption processes of extended objects on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 174-180.
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