TY - JOUR

T1 - Percolation of even sites for enhanced random sequential adsorption

AU - Daniels, Christopher J. E.

AU - Penrose, Mathew D.

PY - 2017/3

Y1 - 2017/3

N2 - Consider random sequential adsorption on a chequerboard lattice with arrivals at rate $1$ on light squares and at rate $\lambda$ on dark squares. Ultimately, each square is either occupied, or blocked by an occupied neighbour. Colour the occupied dark squares and blocked light sites {\em black}, and the remaining squares {\em white}. Independently at each meeting-point of four squares, allow diagonal connections between black squares with probability $p$; otherwise allow diagonal connections between white squares. We show that there is a critical surface of pairs $(\lambda, p)$, containing the pair $(1,0.5)$, such that for $(\lambda, p)$ lying above (respectively, below) the critical surface the black (resp. white) phase percolates, and on the critical surface neither phase percolates.

AB - Consider random sequential adsorption on a chequerboard lattice with arrivals at rate $1$ on light squares and at rate $\lambda$ on dark squares. Ultimately, each square is either occupied, or blocked by an occupied neighbour. Colour the occupied dark squares and blocked light sites {\em black}, and the remaining squares {\em white}. Independently at each meeting-point of four squares, allow diagonal connections between black squares with probability $p$; otherwise allow diagonal connections between white squares. We show that there is a critical surface of pairs $(\lambda, p)$, containing the pair $(1,0.5)$, such that for $(\lambda, p)$ lying above (respectively, below) the critical surface the black (resp. white) phase percolates, and on the critical surface neither phase percolates.

UR - http://dx.doi.org/10.1016/j.spa.2016.07.001

U2 - 10.1016/j.spa.2016.07.001

DO - 10.1016/j.spa.2016.07.001

M3 - Article

SN - 0304-4149

VL - 127

SP - 803

EP - 830

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 3

ER -