Examination of the theta -point from exact enumeration of self-avoiding walks. II
- 21 December 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (18) , 6435-6453
- https://doi.org/10.1088/0305-4470/20/18/041
Abstract
For pt.I., see ibid., vol.18, P.3181(1985). The theta -point (collapse transition) is examined using a series analysis method for self-avoiding walks on the tetrahedral and square lattices. The results are, as a whole, compatible with Moore's conjecture (1977) that the order of transition is first in two dimensions while second in three dimensions. The temperature dependence of an exponent delta for the end-distance distribution is estimated together with those of exponents nu and gamma . In particular, the author has obtained that delta is 2.22+or-0.05 at the theta -point in two dimensions and 2.06+or-0.04 in three dimensions.Keywords
This publication has 46 references indexed in Scilit:
- Collapse of two-dimensional linear polymers: a transfer matrix calculation of the exponent νtJournal of Physics A: General Physics, 1985
- Polymer collapse in dilute solution: Equilibrium and dynamical aspectsThe Journal of Chemical Physics, 1985
- A simple explanation of the polymer collapse transition: (6/5)ths and the (2/3)rds lawsMacromolecules, 1984
- Coil-globule transition in polymer solutionsMacromolecules, 1983
- Collapse of a polymer : evidence for tricritical behaviour in two dimensionsJournal de Physique, 1982
- Statics and dynamics of the freely jointed polymer chain with Lennard-Jones interactionThe Journal of Chemical Physics, 1980
- Collapse of a flexible polymer chain IIJournal de Physique Lettres, 1978
- Renormalization group calculation of polymer properties in dilute solutionJournal of Physics A: General Physics, 1976
- Collapse of a polymer chain in poor solventsJournal de Physique Lettres, 1975
- Phase transition in a polymer chain in dilute solutionPolymer, 1974