# Ordering kinetics in an fcc A\_3B binary alloy model: Monte Carlo studies

Source: [Ordering kinetics in an fcc A\_3B binary alloy model: Monte Carlo studies](<https://www.sota2.com/research/paper/68fa25b32c2a3760193b2f16>)

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

Data updated: 2025-10-24T10:54:26.960Z

Authors: M. Kessler, W. Dieterich, A. Majhofer

Published: 2002-07-25T16:23:02.000Z

## Abstract

Using an atom-vacancy exchange algorithm, we investigate the kinetics of the order-disorder transition in an fcc A\_3B binary alloy model following a temperature quench from the disordered phase. We observe two clearly distinct ordering scenarios depending on whether the final temperature T\_f falls above or below the ordering spinodal T\_{sp}, which is deduced from simulations at equilibrium. For shallow quenches (T\_f\>T\_{sp}) we identify an incubation time tau\_{inc} which characterizes the onset of ordering through the formation of overcritical ordered nuclei. The algorithm we use together with experimental information on tracer diffusion in Cu\_3Au alloys allows us to estimate the physical time scale connected with tau\_{inc} in that material. Deep quenches, T\_f\<T\_{sp}, result in spinodal ordering. Coarsening processes at long times proceed substantially slower than predicted by the Lifshitz-Allen-Cahn t^{1/2} law. Structure factors related to the geometry of the two types of domain walls that appear in our model are found to be consistent with Porod's law in one and two dimensions.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0207611>)

[PDF](<https://arxiv.org/pdf/cond-mat/0207611.pdf>)