A lattice-statistical model for ternary polymer mixtures: exact phase diagrams
نویسنده
چکیده
We consider a model for ternary polymer mixtures with biand tri-functional monomers and solvent molecules embedded on a honeycomb lattice. We first show that the grand partition function of the model polymer mixture is equivalent to the partition function of an eight-vertex model on the same lattice. This equivalence transforms the model into an Ising model in a nonzero external magnetic field. Using the known results for the Ising model, an exact analysis of the phase diagrams for the phase separation transition in the ternary system is carried out. Particularly, we determine the exact two-phase coexistence surface in the temperature-composition space and study the connectivity properties of the model. It is noteworthy that the theory incorporates cyclicity (polymer rings) as well as excluded volume effects. PACS." 05.50.+q; 64.60.-i
منابع مشابه
Thermodynamics of Polymer Blends 2
This chapter summarizes the thermodynamics of multicomponent polymer systems, with special emphasis on polymer blends and mixtures. After a brief introduction of the relevant thermodynamic principles – laws of thermodynamics, definitions, and interrelations of thermodynamic variables and potentials – selected theories of liquid and polymer mixtures are provided: Specifically, both lattice theor...
متن کاملMagnetic Properties in a Spin-1 Random Transverse Ising Model on Square Lattice
In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4), ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...
متن کاملTernary Phase Diagram Modeling of Chiral Medetomidine Salts Using NRTL-SAC Model
Experimental determination of solubility and ternary phase diagram of chiral compound are of tedious and time consuming tasks, and in many cases, there is not enough experimental data for different enantiomeric compositions to access the experimental ternary phase diagram. Using thermodynamic models with predictive capability, having less dependency on experimental data, affords a great advanta...
متن کاملCritical properties and phase separation in lattice Boltzmann fluid mixtures.
Basic equilibrium properties of lattice Boltzmann (LB) fluid mixtures (coexistence curve, surface tension, interfacial profile, correlation length) are calculated to characterize the critical phenomena occurring in these model liquids and to establish a reduced variable description allowing a comparison with real fluid mixtures. We observe mean-field critical exponents and amplitudes so that th...
متن کامل