Cooperative effects in random sequential polymer reactions

Interparticle gap distributions on one-dimensional lattices

“…The RSA model has proven to be quite successful in describing a number of systems [8], lattice and continuum limits have been studied [9,10] and features such as particle cooperativity [10], size mixing and competitiveness [11] have been taken into account. Many other variants of RSA have been considered [1][2][3], among which a continuum model of adsorption where irreversibility is relaxed and particle desorption and sliding during the deposition process are allowed [12].…”

Annihilation of immobile reactants in the Bethe lattice

“…which is in fact identical to the d = 1 random sequential adsorption recursion [17,19,22], as well as to the z = 2 variant of (3). However, the initial conditions are more complicated,…”

“…Examination of the one-dimensional solution of A + A → inert, [14], suggests close similarity to the models of random sequential adsorption [17][18][19]. Specifically, the annihilation reaction resulting in removal of two nearest-neighbor fixed reactants is equivalent to "deposition" of a "dimer" of two empty (reacted) sites.…”

“…In deposition, the lattice is usually assumed empty at time t = 0 which would correspond to the full occupancy for reaction. This connection to random sequential adsorption models suggests that exact solutions can be sought for models of multiparticle annihilation reactions corresponding to n-mer deposition [19], and for models formulated on high-connectivity lattices such as the Bethe lattice, etc. ; see [18,[20][21].…”

Kinetic roughening in deposition with suppressed screening

“…, N is unaffected by deposition in layers N + 1 on. For layer n = 1, exact solution for the fraction of occupied sites and for some correlation properties is known [8]; this problem corresponds to monolayer random sequential adsorption in 1D.…”