Orientational ordering of flexible trimers on the square lattice
- 1 July 1984
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 81 (1) , 484-487
- https://doi.org/10.1063/1.447330
Abstract
It is shown that a system of short flexible chain molecules interacting primarily via a local orientation‐dependent potential between different chain segments exhibit a phase transition between a disordered phase and an orientationally ordered phase. The effect of intramolecular and intermolecular interaction on the thermodynamics of small chain molecules each consisting of two flexible jointed segments (trimer) on the square lattice, has been studied using Monte Carlo methods. Systems consisting of up to 4840 chains have been considered. The intramolecular (configurational) energy of one trimer is ε B <0 if the two segments are colinear and zero otherwise. The intermolecular energy is ε S <0 for two parallel oriented, nearest neighbor segments of two trimers. No evidence for a phase transition is found for vanishing intermolecular interaction (ε S =0, ε B <0). But continuous phase transitions are found if local orientation‐dependent intermolecular interactions are included (ε S <0, ε B ≤0). Various quantities of interest as transition temperature, orientational order parameter and internal energy are discussed.Keywords
This publication has 9 references indexed in Scilit:
- Phase transition of lattice polymer systemsThe Journal of Chemical Physics, 1983
- Theory of Systems of RodIike Particles: II. Thermotropic systems with orientation-dependent interactionsMolecular Crystals and Liquid Crystals, 1979
- Macromolecular dimensions obtained by an efficient Monte Carlo method without sample attritionThe Journal of Chemical Physics, 1975
- Calculation of volume effects in macromolecules by means of a Monte Carlo method: Non-self-intersecting chains on a cubic latticePolymer Science U.S.S.R., 1967
- The Monte Carlo method in statistical calculations of macromoleculesPolymer Science U.S.S.R., 1965
- Eine einfache molekular-statistische Theorie der nematischen kristallinflüssigen Phase. Teil l1.Zeitschrift für Naturforschung A, 1959
- Statistical thermodynamics of semi-flexible chain moleculesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1956
- Equation of State Calculations by Fast Computing MachinesThe Journal of Chemical Physics, 1953
- THE EFFECTS OF SHAPE ON THE INTERACTION OF COLLOIDAL PARTICLESAnnals of the New York Academy of Sciences, 1949