Exact Calculation of the Partition Function for a Model of Two-Dimensional Polymer Crystallization by Chain Folding
- 15 April 1968
- journal article
- conference paper
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 48 (8) , 3351-3360
- https://doi.org/10.1063/1.1669624
Abstract
A model of two-dimensional polymer crystallization by chain folding is treated by equilibrium statistical mechanics. The Laplace transform of the partition function with respect to the length of the polymer chain is obtained in exact analytical form. The model leads to thermodynamically well-defined chain-folded crystals. Under certain circumstances in the limit of an infinitely long polymer chain, the model shows a second-order phase transition from an “extended-chain” crystal to the chain-folded crystal.Keywords
This publication has 6 references indexed in Scilit:
- Bessel function Jν(z) of complex order and its zerosMathematical Proceedings of the Cambridge Philosophical Society, 1967
- NUCLEATION IN POLYMERSIndustrial & Engineering Chemistry, 1966
- Markoff Chain Model for Growth of Polymer Single CrystalsThe Journal of Chemical Physics, 1961
- On the theory of polymer crystallizationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
- Thermodynamische Stabilität makromolekularer KristalleThe European Physical Journal A, 1960
- Theory of formation of polymer crystals with folded chains in dilute solutionJournal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1960