Note: A replica liquid theory of binary mixtures

TL;DR

This paper addresses inconsistencies in the binary replica liquid theory by reformulating it to align with the one-component theory, particularly resolving issues with mixing entropy and configurational entropy calculations.

Contribution

The authors reformulate the binary replica liquid theory to eliminate discrepancies with the one-component theory, ensuring consistent configurational entropy and glass transition predictions.

Findings

Resolved the inconsistency in configurational entropy calculations

Unified binary and one-component replica liquid theories

Clarified the role of mixing entropy in binary mixtures

Abstract

It has been known that the binary replica liquid theory (RLT) is inconsistent with its one-component counterpart; In the limit that all atoms are identical, the configurational entropy and thus the glass transition point calculated by the binary RLT differ from those obtained by the one-component RLT. More specifically, an extra composition-dependent term, or the mixing entropy, remains finite in the configurational entropy computed by the binary RLT. In this Short Note, we reformulate the RLT in order to resolve this problem.