Barat, K. ; Karmakar, S. N. ; Chakrabarti, B. K. (1992) Series studies of self-avoiding walks near the theta-point on 2D critical percolation clusters Journal of Physics A: Mathematical and General, 25 (10). pp. 2745-2751. ISSN 0305-4470
Full text not available from this repository.
Official URL: http://iopscience.iop.org/0305-4470/25/10/006
Related URL: http://dx.doi.org/10.1088/0305-4470/25/10/006
Abstract
The thermally weighted average end-to-end distance (RN) of interacting self-avoiding walks (SAWs) are obtained enumerating all the (finite) N-stepped SAW configurations on the infinite percolation cluster of bond diluted square lattice at the percolation threshold. Averaging over 250 percolation clusters and enumerating all the possible SAWs on them for N up to 31, (RN) is fitted to a scaling form (R2N) approximately N2 nu theta f(Nphi tau )=(T-theta )/theta is the temperature interval away from the theta -point, phi is the crossover exponent and nu theta is the tricritical size exponent. The best fit is obtained for theta approximately=0.71 (compared to theta 0 approximately=1.54 on a pure square lattice), nu approximately=0.74 (compared to nu theta phi=4 mod 7 approximately=0.57 in two dimensions) and phi approximately=0.20. They also obtain an estimate for of SAW size exponent nu C for collapsed phase on the percolation cluster.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to Institute of Physics. |
ID Code: | 44838 |
Deposited On: | 23 Jun 2011 07:48 |
Last Modified: | 23 Jun 2011 07:48 |
Repository Staff Only: item control page