Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-02-03
J. Phys. A:Math. Gen., Vol. 37, 3673(2004)
Physics
Condensed Matter
Statistical Mechanics
19 pages, 4 figures, accepted for publication in J. Phys. A:Math. Gen
Scientific paper
10.1088/0305-4470/37/11/009
We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1 dimensions, and calculate the crossover exponent related to fraction of monomers adsorbed at the critical point of surface transition, and we also determine the density profile of the polymer in different phases. We also obtain the value of crossover exponent in 2+1 dimensions and give the scaling function of the sticking fraction for 1+1 and 2+1 dimensional directed branched polymer.
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