Minimal model of a Plateau-Rayleigh instability of a solid binary alloy nanowire: impacts of surface segregation
Abstract
Minimal model and its linear stability analysis (LSA) for Plateau-Rayleigh (PR) instability of an intermixed, solid binary alloy nanowire is presented. Model accounts only for the surface diffusions of the alloy components without anisotropies of a surface energies, and for a classical thermodynamic surface segregation. Model allows to assess a deviation of a longwave instability cutoff wavelength λc from the classical value 2πr0 (a wire circumference) as a function of a surface composition deviation from its equilibrium value, a wire radius, and a bulk concentration of a minority component. Results of LSA are presented for AuNi, PtNi, and CoNi nanowires, where an important distinction is that a surface segregation curve for CoNi is qualitatively different from the one for AuNi and PtNi. For each nanowire there is a sizable region of a parameter space where λc<2πr0 and correspondingly, a fastest growing perturbation wavelength λmax is also less than a wire circumference. This is in stark contrast to PR instability of a single-component nanowire transporting mass by surface diffusion - in this case λc and λmax are larger than a wire circumference. Strong surface segregation is primarily responsible for unusually small λc and λmax. Results suggest that a large number of small and closely spaced nanoparticles may emerge upon disintegration via annealing of a binary alloy nanowire.
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BibTeX
@misc{khenner2026minimal,
title = {{Minimal model of a Plateau-Rayleigh instability of a solid binary alloy nanowire: impacts of surface segregation}},
author = {Mikhail Khenner},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05283},
eprint = {2611.05283},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05283},
}
RIS
TY - UNPB
TI - Minimal model of a Plateau-Rayleigh instability of a solid binary alloy nanowire: impacts of surface segregation
AU - Mikhail Khenner
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05283
UR - https://arxiv.org/abs/2611.05283
AB - Minimal model and its linear stability analysis (LSA) for Plateau-Rayleigh (PR) instability of an intermixed, solid binary alloy nanowire is presented. Model accounts only for the surface diffusions of the alloy components without anisotropies of a surface energies, and for a classical thermodynamic surface segregation. Model allows to assess a deviation of a longwave instability cutoff wavelength λ_c from the classical value 2πr_0 (a wire circumference) as a function of a surface composition deviation from its equilibrium value, a wire radius, and a bulk concentration of a minority component. Results of LSA are presented for AuNi, PtNi, and CoNi nanowires, where an important distinction is that a surface segregation curve for CoNi is qualitatively different from the one for AuNi and PtNi. For each nanowire there is a sizable region of a parameter space where λ_c<2πr_0 and correspondingly, a fastest growing perturbation wavelength λ_max is also less than a wire circumference. This is in stark contrast to PR instability of a single-component nanowire transporting mass by surface diffusion - in this case λ_c and λ_max are larger than a wire circumference. Strong surface segregation is primarily responsible for unusually small λ_c and λ_max. Results suggest that a large number of small and closely spaced nanoparticles may emerge upon disintegration via annealing of a binary alloy nanowire.
ER -