Physics and Astronomy, Mathematics, Ames Laboratory
Journal or Book Title
The Journal of Chemical Physics
We consider the irreversible random sequential adsorption of particles taking ksites at a time, on a one‐dimensional lattice. We present an exact expansion for the coverage, θ(t,k)=A0(t)+A1(t)k−1+A2(t)k−2+..., for times, 0≤t≤O(k), and at saturation t=∞. The former is new and the latter extends Mackenzie’s results [J. Chem. Phys. 37, 723 (1962)]. For these expansions, we note that the coefficients Ai≥1(∞) are not obtained as large‐t limits of the Ai≥1(t). Finally, we comment on the Laurent expansions for general O(k)<t<∞, which reveal the occurrence of additional kn terms, with n≳0.
American Institute of Physics
Bartelt, M. C.; Evans, James W.; and Glasser, M. L., "The car‐parking limit of random sequential adsorption: Expansions in one dimension" (1993). Physics and Astronomy Publications. 394.