Adsorption of neighbor-avoiding walks on the simple cubic lattice Article Swipe
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· 2018
· Open Access
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· DOI: https://doi.org/10.1103/physreve.98.062141
· OA: W2896839905
We investigate neighbor-avoiding walks on the simple cubic lattice in the\npresence of an adsorbing surface. This class of lattice paths has been less\nstudied using Monte Carlo simulations. Our investigation follows on from our\nprevious results using self-avoiding walks and self-avoiding trails. The\nconnection is that neighbor-avoiding walks are equivalent to the infinitely\nrepulsive limit of self-avoiding walks with monomer-monomer interactions. Such\nrepulsive interactions can be seen to enhance the excluded volume effect. We\ncalculate the critical behavior of the adsorption transition for\nneighbor-avoiding walks, finding a critical temperature $T_{\\text a}=3.274(9)$\nand a crossover exponent $\\phi=0.482(13)$, which is consistent with the\nexponent for self-avoiding walks and trails, leading to an overall combined\nestimate for three dimensions of $\\phi_\\text{3D}=0.484(7)$. While questions of\nuniversality have previously been raised regarding the value of adsorption\nexponents in three dimensions, our results indicate that the value of $\\phi$ in\nthe strongly repulsive regime does not differ from its non-interacting value.\nHowever, it is clearly different from the mean-field value of $1/2$ and\ntherefore not super-universal.\n
