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- W2022849930 abstract "We study the problem of adsorption of self-interacting linear polymers situated in fractal containers that belong to the three-dimensional (3d) Sierpinski gasket (SG) family of fractals. Each member of the 3d SG fractal family has a fractal impenetrable 2d adsorbing surface (which is, in fact, 2d SG fractal) and can be labelled by an integer $b$ ($2le bleinfty$). By applying the exact and Monte Carlo renormalization group (MCRG) method, we calculate the critical exponents $nu$ (associated with the mean squared end-to-end distance of polymers) and $phi$ (associated with the number of adsorbed monomers), for a sequence of fractals with $2le ble4$ (exactly) and $2le ble40$ (Monte Carlo). We find that both $nu$ and $phi$ monotonically decrease with increasing $b$ (that is, with increasing of the container fractal dimension $d_f$), and the interesting fact that both functions, $nu(b)$ and $phi(b)$, cross the estimated Euclidean values. Besides, we establish the phase diagrams, for fractals with $b=3$ and $b=4$, which reveal existence of six different phases that merge together at a multi-critical point, whose nature depends on the value of the monomer energy in the layer adjacent to the adsorbing surface." @default.
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- W2022849930 date "2003-01-22" @default.
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- W2022849930 title "Exact and Monte Carlo study of adsorption of a self-interacting polymer chain for a family of three-dimensional fractals" @default.
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- W2022849930 doi "https://doi.org/10.1088/0305-4470/36/5/303" @default.
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