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Random sequential adsorption and diffusion of dimers and k-mers on a square lattice (Articolo in rivista)

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Random sequential adsorption and diffusion of dimers and k-mers on a square lattice (Articolo in rivista) (literal)

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C. Fusco 1, P. Gallo 2, A. Petri 3, M. Rovere 2 (2001)
Random sequential adsorption and diffusion of dimers and k-mers on a square lattice
in The Journal of chemical physics
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In this paper we present extensive Monte Carlo (MC)simulations of the Random Sequential Adsorption with Duffusion processes (RSAD) of linear particles on a square lattice. In the systems under consideration hard particles, the k-mers, are dropped on an initially empty square lattice andare allowed to diffuse. Each k-mer occupies k consecutivesites and cannot overlap to the others. We consider different initial conditions as well as a set of different deposition and diffusion rates and probabilities. Whereas the former only have influence on initial and intermediate stages of the coverage,the latter influence the late stage of dynamics and different values may lead to different final states. In fact, we show that the value of the final coverage depends on these parameter and, as expected, decreases with increasing k. In this paper the focus will be mainly on the case k=2, since simulations show that its main features are also shared by systems with higher values of k, while the time required for simulations rapidly increases with k. (literal)

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1 Department of Theoretical Physics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands 2 Dipartimento di Fisica, Universita` Roma Tre, and Istituto Nazionale per la Fisica della Materia, Unita` di Ricerca Roma Tre, Via della Vasca Navale 84, I-00146 Roma, Italy 3 Consiglio Nazionale delle Ricerche, Istituto di Acustica O. M. Corbino, Area della Ricerca di Roma Tor Vergata, Via del Fosso del Cavaliere 100, 00133 Roma, Italy (literal)

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Random sequential adsorption and diffusion of dimers and k-mers on a square lattice (literal)

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We have performed extensive simulations of random sequential adsorption and diffusion of k-mers,up to k=5 in two dimensions with particular attention to the case k=2. We focus on the behavior of the coverage and of vacancy dynamics as a function of time. We observe that for k=2,3 a complete coverage of the lattice is never reached, because of the existence of frozen configurations that prevent isolated vacancies in the lattice to join. From this result we argue that complete coverage is never attained for any value of k. The long time behavior of the coverage is not mean field and nonanalytic, with t^(-1/2) as leading term. Long time coverage regimes are independent of the initial conditions while strongly depend on the diffusion probability and deposition rate and, in particular, different values of these parameters lead to different final values of the coverage. The geometrical complexity of these systems is also highlighted through an investigation of the vacancy population dynamics. (literal)

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