Abstract
This paper will specifically deal with the melting process of gold nanoparticles. Based on scale analysis we first show that retaining previously neglected terms in the Gibbs–Thomson equation (describing the melt temperature as a function of size) can have a significant effect on results. Asymptotic and numerical results for the position of the melting front are presented for spherical nanoparticles. They appear to match well down to the final stages of melting.
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Font, F., Myers, T.G., MacDevette, M. (2014). A Mathematical Model for the Melting of Spherical Nanoparticles. In: Fontes, M., Günther, M., Marheineke, N. (eds) Progress in Industrial Mathematics at ECMI 2012. Mathematics in Industry(), vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-05365-3_41
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DOI: https://doi.org/10.1007/978-3-319-05365-3_41
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Online ISBN: 978-3-319-05365-3
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