ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
A self-attracting trail is a walk on a lattice which may intersect itself but two bonds are not allowed to overlap; an interaction energy ε (ε〈0) is associated with each self-intersection. Using the scanning simulation method, we study the tricritical behavior at the collapse transition of self-attracting trails of N≤250 steps on a simple cubic lattice. In the preceding paper (paper I) tricritical self-avoiding walks (SAWs) on the same lattice have been investigated. The tricritical temperature of trails is −ε/kBTt=0.550±0.004 (one standard deviation). The results for the radius of gyration, G, and the end-to-end distance, R, lead to νt=0.515±0.003, which is larger than νt=1/2, the theoretical prediction for SAWs. The ratio G2/R2=0.1676±0.0001 is slightly larger than 1/6=0.1666 ... predicted by theory for SAWs; The results for the partition function at Kt lead to γt=1.040±0.005 (as compared to the theoretical prediction for SAWs γt=1) and to the growth parameter value μt=5.0023±0.0020. The crossover exponent, φt, is approximately 0.5 as expected for SAWs at tricriticality; this value is significantly smaller than that found for SAWs in paper I. The results of G, R, and Z at Kt are found to be inconsistent with logarithmic corrections to scaling. However, we do not think that the above differences between trails and SAWs are sufficient to suggest unequivocally that the two models belong to different universality classes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.458549
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