Self-Assembly in Charged Polymeric Mixtures: Equation-of-state and Field Approaches
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Understanding of systems containing charged polymers are of central importance in modern polymer science due to their abundance in nature. One of the possible efforts is to employ a reliable and amenable theory. Starting with the classical Voorn-Overbeek theory, there are several more choices in this direction such as RPA, self-consistent field, and integral equation theories. The first 3 theories assume system to be incompressible in most cases. In contrast, the integral equation theory provides a continuous-space equation of state. Through Edwards’s Gaussian thread approach, we formulate a field theory in connection with the equation of state to describe inhomogeneity in weakly charged polymeric systems, where temperature and pressure are taken as two equal control variables. Some salt-free mixtures of polyelectrolytes or charged amphiphiles with varying chain architectures are given to discuss the responses of those systems to temperature and pressure.