Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-07-02
Phys. Rev. E, Vol 66, 056104 (2002)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 5 figures, revtex
Scientific paper
10.1103/PhysRevE.66.056104
The effect of introducing a mass dependent diffusion rate ~ m^{-alpha} in a model of coagulation with single-particle break up is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase transition as the mass density in the system is varied from a phase with an exponential distribution of mass to a phase with a power-law distribution of masses in addition to a single infinite aggregate. This transition is shown to be curbed, at finite densities, for all alpha > 0 in any dimension. However, a signature of this transition is seen in finite systems in the form of a large aggregate and the finite size scaling implications of this are characterized. The exponents characterizing the steady state probability that a randomly chosen site has mass m are calculated using scaling arguments. The full probability distribution is obtained within a mean field approximation and found to compare well with the results from numerical simulations in one dimension.
Barma Mustansir
Chakraborty Bulbul
Das Dibyendu
Rajesh R.
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