Software

Test PolyFTS with Polyorder

We will verify the PolyFTS calculation by comparing to the Polyorder results. The SCFT model we will test is miktoarm star block copolymer and homopolymer blends (AB3 + A). Read More ›

Software · Tutorials

Polyorder Configuration File

The configuration file for Polyorder can be either in INI or in YAML format. Sample configuration files can be found in the example folder in the Polyorder project. Read More ›

Research

Simpson's Rule and Other Fourth-Order Quadrature Formulas

In this post we will list some popular closed-, open-, and semi-open form of numerical integration formulas for Simpson’s rule and other 4th order algorithms. Read More ›

Software · Tutorials

mpltex: A Tool for Creating Publication Quality Plots

This post serves as a tutorial to the mpltex Python package, a tool for producing publication quality plots using matplotlib.LaTeX formatting for axis titles, legends, and texts in the figure is supported.The internal matplotlib color cycle is replaced by Tableau classic 10 color scheme which looks less saturated and more pleasing to eyes.Other available color schemes for multi-line plots are ColorBrewer Set 1 and Tableau classic 20.mpltex also provide a way to generate highly configurable line styles with colors, line types, and line markers.Hollow markers are supported. Read More ›

Research · Tutorials

A Quick Guide to the Self-Consistent Field Theory in Polymer Physics

In this post I will present an detailed (informal) derivation of the self-consistent field theory (SCFT) for many-chain polymer systems. I start from the continuous Gaussian chain model. Then the Gaussian chain in an external field is described. After that, a system of multiple two-bead chains as a simplified model for many-chain model is examined. Then this approach is extended to many-chain A-B block copolymer system. Finally, as an application of this derivation, we derive SCFT for many-chain A-B diblock copolyelectrolyte solutions. Read More ›