Surface growth during random and irreversible multilayer deposition of straight semirigid rods

N. DE LA CRUZ FÉLIX; P. M. CENTRES; A. J. RAMIREZ PASTOR

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2021 vol. 104 p. 1 - 9

1539-3755

Surface growth properties during irreversible multilayer deposition of straight semirigid rods on linear andsquare lattices have been studied by Monte Carlo simulations and analytical considerations. The filling of thelattice is carried out following a generalized random sequential adsorption mechanism where the depositingobjects can be adsorbed on the surface forming multilayers. The results of our simulations show that theroughness evolves in time following two different behaviors: an ?homogeneous growth regime? at initial times,where the heights of the columns homogeneously increase, and a ?segmented growth regime? at long times,where the adsorbed phase is segmented in actively growing columns and inactive nongrowing sites. Under theseconditions, the surface growth generated by the deposition of particles of different sizes is studied. At longtimes, the roughness of the systems increases linearly with time, with growth exponent β = 1, at variance witha random deposition of monomers which presents a sublinear behavior (β = 1/2). The linear behavior is due tothe segmented growth process, as we show using a simple analytical model