Privman Vladimir , Barma Mustansir 
RANDOM SEQUENTIAL ADSORPTION ON A LINE:
                            MEAN-FIELD THEORY OF DIFFUSIONAL RELAXATION
(212K, Postscript)

ABSTRACT.  We develop a new fast-diffusion approximation for the
kinetics of deposition of extended objects on
a linear substrate, accompanied by diffusional
relaxation. This new approximation plays the role of the mean-field
theory for such processes and is valid over a significantly larger
range than an earlier variant, 
which was based on a mapping to chemical reactions. In particular,
continuum-limit off-lattice deposition is described naturally
within our approximation. The
criteria for the applicability of the mean-field theory are
derived. While deposition of
dimers, and marginally, trimers, is affected by fluctuations, we find
that the k-mer deposition kinetics is asymptotically
mean-field like for all k=4,5,..., where the limit k->infinity,
when properly defined, describes deposition-diffusion kinetics
in the continuum.