Fluctuations of the partial filling factors in competitive RSA from binary mixtures

Abstract

Competitive random sequential adsorption on a line from a binary mix of incident particles is studied using both an analytic recursive approach and Monte Carlo simulations. We find a strong correlation between the small and the large particle distributions so that while both partial contributions to the fill factor fluctuate widely, the variance of the total fill factor remains relatively small. The variances of partial contributions themselves are quite different between the smaller and the larger particles, with the larger particle distribution being more correlated. The disparity in fluctuations of partial fill factors increases with the particle size ratio. The additional variance in the partial contribution of smaller particle originates from the fluctuations in the size of gaps between larger particles. We discuss the implications of our results to semiconductor high-energy gamma detectors where the detector energy resolution is controlled by correlations in the cascade energy branching process.

19 pages, 8 figures

References in corpus (5)

• Dynamics of Nonequilibrium Deposition
• Jamming coverage in competitive random sequential adsorption of binary mixture
• Gap-Size Distribution Functions of a Random Sequential Adsorption Model of Segments on the Line
• Competitive random sequential adsorption of point and fixed-sized particles: analytical results
• Random sequential adsorption of shrinking or spreading particles

Cited by in corpus (5)

• Morphology of Fine-Particle Monolayers Deposited on Nanopatterned Substrates
• Kinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional line
• Jammed state characterization of the random sequential adsorption of segments of two lengths on a line
• Jamming and percolation in the random sequential adsorption of a binary mixture on the square lattice
• Correlation effects in sequential energy branching: an exact model of the Fano statistics