The structure of linear polymers modelled by self-avoiding random walks (SAWs) on the backbone of two-dimensional percolation clusters at criticality is studied. To this end, all possible SAW configurations of N steps on a single-backbone configuration are enumerated exactly, and averages over many backbone configurations are performed to extract the mean quantities of interest. We determine the critical exponents describing the structure of SAWs, in both Euclidean and topological space, and the corresponding mean distribution functions for the end-to-end distance after N steps. A relation between the exponents characterizing the asymptotic shape of these distributions and those describing the total number of SAWS of N steps on the backbone is suggested and supported by numerical results. © 1998 Taylor and Francis Group, LLC.
Eduardo Roman, H., Ordemann, A., Porto, M., Bunde, A., Havlin, S. (1998). Structure of self-avoiding walks on percolation clusters at criticality. PHILOSOPHICAL MAGAZINE. B. PHYSICS OF CONDENSED MATTER. STATISTICAL MECHANICS, ELECTRONIC, OPTICAL AND MAGNETIC PROPERTIES, 77(5), 1357-1371 [10.1080/13642819808205029].
Structure of self-avoiding walks on percolation clusters at criticality
Eduardo Roman H.;
1998
Abstract
The structure of linear polymers modelled by self-avoiding random walks (SAWs) on the backbone of two-dimensional percolation clusters at criticality is studied. To this end, all possible SAW configurations of N steps on a single-backbone configuration are enumerated exactly, and averages over many backbone configurations are performed to extract the mean quantities of interest. We determine the critical exponents describing the structure of SAWs, in both Euclidean and topological space, and the corresponding mean distribution functions for the end-to-end distance after N steps. A relation between the exponents characterizing the asymptotic shape of these distributions and those describing the total number of SAWS of N steps on the backbone is suggested and supported by numerical results. © 1998 Taylor and Francis Group, LLC.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.