θ point of a linear polymer in 2 dimensions: a renormalization group analysis of Monte Carlo enumerations
- 1 January 1988
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 49 (5) , 739-748
- https://doi.org/10.1051/jphys:01988004905073900
Abstract
Using a renormalization group method of analysis of series, in which the order of truncation plays the role of a scale parameter, we study accurate Monte Carlo enumerations for SAW with attractive n.n. interaction on the square lattice. The theta point is located and its exponents are determined as νt = 0.570 ± 0.015, γt = 1.10 ± 0.04 and Φ t = 0.52 ± 0.07. These values are compared with others previously proposed in the literature, and seem to support recent theoretical conjecturesKeywords
This publication has 12 references indexed in Scilit:
- Exact tricritical exponents for polymers at theFTHETApoint in two dimensionsPhysical Review Letters, 1987
- Exact Determination of the Percolation Hull Exponent in Two DimensionsPhysical Review Letters, 1987
- Collapse of two-dimensional linear polymersJournal of Statistical Physics, 1986
- Examination of the theta -point from exact enumeration of self-avoiding walksJournal of Physics A: General Physics, 1985
- The fractal nature of a diffusion front and the relation to percolationJournal de Physique Lettres, 1985
- Exact Critical Point and Critical Exponents ofModels in Two DimensionsPhysical Review Letters, 1982
- Collapse of a polymer : evidence for tricritical behaviour in two dimensionsJournal de Physique, 1982
- Scaling Description of Two-Dimensional Chain Conformations in Polymer MonolayersPhysical Review Letters, 1980
- Macromolecular dimensions obtained by an efficient Monte Carlo method without sample attritionThe Journal of Chemical Physics, 1975
- The Configuration of Real Polymer ChainsThe Journal of Chemical Physics, 1949