Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-06-09
J. Phys. A: Math. Gen., 34 (2001) 7517-7525
Physics
Condensed Matter
Statistical Mechanics
7 pages, latex, 3 figures
Scientific paper
10.1088/0305-4470/34/37/307
We study the kinetics of competitive random sequential adsorption (RSA) of particles of binary mixture of points and fixed-sized particles within the mean-field approach. The present work is a generalization of the random car parking problem in the sense that it considers the case when either a car of fixed size is parked with probability q or the parking space is partitioned into two smaller spaces with probability (1-q) at each time event. This allows an interesting interplay between the classical RSA problem at one extreme (q=1), and the kinetics of fragmentation processes at the other extreme (q=0). We present exact analytical results for coverage for a whole range of q values, and physical explanations are given for different aspects of the problem. In addition, a comprehensive account of the scaling theory, emphasizing on dimensional analysis, is presented, and the exact expression for the scaling function and exponents are obtained.
Hassan Kamrul M.
Kurths Juergen
No associations
LandOfFree
Competitive random sequential adsorption of point and fixed-sized particles: analytical results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Competitive random sequential adsorption of point and fixed-sized particles: analytical results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Competitive random sequential adsorption of point and fixed-sized particles: analytical results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-409162