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Structural properties of self-attracting walks
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Self-attracting walks (SATW) with attractive interaction u > 0 display a swelling-collapse transition at a critical u_c for dimensions d >= 2, analogous to the Θ transition of polymers. We are interested in the structure of the clusters generated by SATW below u_c (swollen walk), above u_c (collapsed walk), and at u_c, which can be characterized by the fractal dimensions of the clusters d_f and their interface d_I. Using scaling arguments and Monte Carlo simulations, we find that for uu_c, thedoi:10.1103/physreve.64.046117 pmid:11690100 fatcat:h2wb5ugjsjexllgbjftgqdpne4