Abstract
The phase diagram and the tricritical point of a collapsing lattice animal are studied through an extended series expansion of the isothermal compressibilityK T on a square lattice. As a function of the variables of fugacity and Boltzmann weight,K T is investigated using partial differential approximant techniques. The characteristic flow pattern of partial differential approximant trajectories is determined for a stable fixed point. We obtain satisfactory estimates for the tricritical fugacityx t =0.024±0.005 and temperatureT t =0.54±0.04. Taking into account only linear scaling fields, we are also able to get the scaling exponent γ=1.4±0.2 and the crossover ϕ=0.66±0.08. Our results are in reasonable agreement with previous estimates in the literature.
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Onody, R.N., Neves, U.P.C. Collapse transition of a two-dimensional lattice animal. J Stat Phys 84, 399–413 (1996). https://doi.org/10.1007/BF02179649
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DOI: https://doi.org/10.1007/BF02179649