Sequential quenching of square-well particles

Abstract

In previous work we discussed the integral-equation formalism for the computation of the structure of systems built through sequential addition, equilibration and irreversible quenching in place of individual particles. This sequential quenching model, appropriate for slow irreversible deposition, can be investigated by the techniques of equilibrium liquid theory. In the case of hard particles the problem is identical to that of random sequential addition. Our earlier calculations showed that the integral equation results for hard disks are in good agreement with simulation. In this paper we explore the structures arising from sequential quenching of square-well disks, which are found to be very different from those for the corresponding equilibrium case. The most interesting result is the much higher degree of clustering observed when particles are quenched one by one, as opposed to what is observed from the instantaneous quenching of an entire equilibrium system.

Percolation and jamming in structures built through sequential deposition of particles

“…The quality of the approximation depends on the temperature, i.e., on the degree of clustering of the particles. We have shown in a separate work [11] that the difference of results is seen to be small for both an exact simulation and the single insertion method.…”

“…(6) [16]. The arrangement of particles on the surface according to the strength of interaction was also studied in another work [11] where we focused on the degree of ordering within the built-up structures.…”

Sub-monolayer growth by sequential deposition of particles

“…Sequential quenching is not concerned with reaction among adsorbed particles but one of its key characteristic times is that for the irreversible reaction (strong attachment) between a particle and a site on the surface. Clusters built though sequential quenching exhibit an annealed-like compactness rather than an open, fractal nature as we have studied in our previous work [13,14].…”

“…Similarly, the seed fraction and the probability for nth particle to be a nucleus can be written as (13) which yields a differential equation when taking a limit of ρ → 0:…”

“…We have learned from previous work [13,14] that sequential quenching results in different structures at different temperatures. In this work we use Monte Carlo simulations of triangular-well particles to study the stages in the preparation of a sub-monolayer film by sequential deposition from very low to very high temperatures, a limit at which the system becomes equivalent to RSA.…”