# Kinetic Pathways of Phase Decomposition Using Steepest-Entropy-Ascent Quantum Thermodynamics Modeling. Part II: Phase Separation and Ordering

Source: [Kinetic Pathways of Phase Decomposition Using Steepest-Entropy-Ascent Quantum Thermodynamics Modeling. Part II: Phase Separation and Ordering](<https://www.sota2.com/research/paper/68fa38781e209131ce8ba826>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:57:39.480Z

Authors: Ryo Yamada, Michael R. von Spakovsky, William T. Reynolds, Jr

Published: 2018-09-27T16:53:39.000Z

## Abstract

The kinetics of ordering and concurrent ordering and clustering is analyzed with an equation of motion initially developed to account for dissipative processes in quantum systems. A simplified energy eigenstructure, or pseudo-eigenstructure, is constructed from a static concentration wave method to describe the configuration-dependent energy for atomic ordering and clustering in a binary alloy. This pseudo-eigenstructure is used in conjunction with an equation of motion that follows steepest entropy ascent to calculate the kinetic path that leads to ordering and clustering in a series of hypothetical alloys. By adjusting the thermodynamic solution parameters, it is demonstrated that the model can predict the stable equilibrium state as well as the unique thermodynamic path and kinetics of continuous/discontinuous ordering and concurrent processes of simultaneous ordering and phase separation.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1809.10633>)

[PDF](<https://arxiv.org/pdf/1809.10633.pdf>)