Asymptotic results for the random sequential addition of unoriented objects.

Asymptotic kinetics for random sequential addition of unoriented nonspherical objects is characterized by an algebraic time dependence. By studying 1 D systems, we show that the exponents describing the random sequential addition of objects with and without proper area are not simply related : whereas the asymptotic behavior for rectangles follows the expected t -1/2 law, the long-time kinetics for infinitely thin line segments is governed by a nontrivial, irrational, exponent (t √ 2-1 ) which results from a competition between creation and destruction of targets in the asymptotic regime.