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Surface crossover exponent for branched polymers in two dimensions

S L A de Queiroz

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Transfer-matrix methods on finite-width strips with free boundary conditions are applied to lattice site animals, which provide a model for randomly branched polymers in a good solvent. By assigning a distinct fugacity to sites along the strip edges, critical properties at the special (adsorption) and ordinary transitions are assessed. The crossover exponent at the adsorption point is estimated as phi =0.505+or-0.015, consistent with recent predictions that phi = 1/2 exactly for all space dimensionalities.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

64.60.F- Equilibrium properties near critical points, critical exponents

64.60.A- Specific approaches applied to studies of phase transitions

MSC

82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)

82B28 Renormalization group methods (See also 81T17)

82B26 Phase transitions (general)

82B27 Critical phenomena

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 22 (21 November 1995)



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