Universal 2D Soft Nano-Scale Mosaic Structure Theory for Polymers and Colloids

TL;DR

This paper introduces a universal 2D soft nano-scale mosaic structure theory for polymers and colloids, explaining phase transitions and structural properties through interface excitation loop-flows and their energetic and configurational implications.

Contribution

It presents a novel theoretical framework linking interface excitation dynamics to fundamental material properties and phase transition behaviors in polymers and colloids.

Findings

Derives glass transition and melt temperatures from the mosaic structure

Predicts free volume fraction and critical chain length

Provides a unified structural explanation for phase transitions

Abstract

A basic concept in chain-particle cluster-motion, from frozen glassy state to melt state, is the 2D soft nano-scale mosaic structure formed by 8 orders of 2D interface excitation (IE) loop-flows, from small to large in inverse cascade and re-arrangement structure in cascade along local one direction. IE has additional repulsive energy and extra vacancy volume. IE results from that the instantaneous synchronal polarized electron charge coupling pair is able to parallel transport on the interface between two neighboring chain-particles with antiparallel delocalization. This structure accords with de Gennes' mosaic structure picture, from which we can directly deduce glass transition temperature, melt temperature, free volume fraction, critical entangled chain length, and activation energy to break solid lattice. This is also the in-herency maximum order-potential structure in random systems.