Abstract
We have studied a model of self-attracting walk proposed by Sapozhnikov using the Monte Carlo method. The mean-square displacement and the mean number of visited sites are calculated for one-, two- and three-dimensional lattices. In one dimension, the walk shows diffusive behaviour with . However, in two and three dimensions, we observed a non-universal behaviour, i.e. the exponent varies continuously with the strength of the attracting interaction.
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