INHOMOGENEOUS RANDOM SEQUENTIAL ADSORPTION WITH EQUILIBRIUM INITIAL CONDITIONS

We study the exact solution for the irreversible addition of nearest-n eighbor hard-core particles to a lattice structure occupied at an init ial time by particles of the same kind that are in a thermal equilibri um state. The adsorption probabilities are inhomogeneous in both time and space. This problem is attacked via the Bethe lattice, whose topol ogy provides local forms of inverse relations with site coverages as c ontrolling variables, separately for equilibrium as well as for nonequ ilibrium regimes. It is shown that the interference of the two inverse formats does not break their locality, due to a factorization propert y of equilibrium multisite correlations. The complete inverse solution is used to point out the absence of nonequilibrium phase transitions within irreversible stochastic dynamics.