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Universality of the power-law approach to the jamming limit in random sequential adsorption dynamics
Pradip B Shelke1, M D Khandkar, A G Banpurkar
1Center for Advanced Studies in Materials Science and Solid State Physics, Department of Physics, University of Pune, Pune-411007, India.
Abstract:
Random sequential adsorption (RSA), on a two-dimensional continuum substrate, of different types of zero area objects that disallow domain formation and hence lead to jamming, is examined by simulation. In all the cases, in the asymptotic time regime, the approach of the number density rho(t) at instant t to jamming density rho(infinity) is found to exhibit power law rho(infinity)-rho(t) approximately t{-p} as that for RSA of finite area objects. These results suggest the possibility of the power law being universal for all jamming systems in RSA on a continuum substrate. A generalized analytical treatment is also proposed.
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