Revisiting Lindemann’s criterion from a minimal viscosity perspective

Pablo G. Tello and Sauro Succi
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Pablo G. Tello: CERN, Geneva, Switzerland
Sauro Succi: Istituto per le Applicazioni del Calcolo “M. Picone†CNR, I-00185, Rome, Italy3Istituto Italiano di Tecnologia, 00161, Rome, Italy4Physics Department, Harvard University, 17 Oxford St Cambridge, MA 02138, USA

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 09, 1-7

Abstract: A revisiting of the Lindemann criterion under the recently established minimal viscosity formulation is proposed which uncovers intriguing insights into the melting process. The approach suggests that melting involves competition between the electron rest energy and the thermal one caused by temperature increase when considering a defect-free crystal structure. However, when accounting for the role of vacancies in the melting process, the analysis suggests that the key competing factors are the thermal energy and the one needed for vacancy migration. The estimated value of the Lindemann constant, in this case, is close to the reported values and with recent simulations studying the correlation between Born and Lindemann melting criteria.

Keywords: Melting and solidification; fluid viscosity; defect dynamics (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124501092

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