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Published March 24, 2003 | public
Journal Article Open

Superheating systematics of crystalline solids

Abstract

Systematics of superheating (theta= T/Tm–1) of crystalline solids as a function of heating rate (Q) are established as beta= A(Q)(theta+ 1)theta2, where the normalized energy barrier for homogeneous nucleation is beta= 16pigammasl3/(3kTmDeltaHm2), T is temperature, Tm melting temperature, A a Q-dependent parameter, gammasl interfacial energy, DeltaHm heat of fusion, and k Boltzmann's constant. For all elements and compounds investigated, beta varies between 0.2 and 8.2. At 1 and 10^12 K/s, A = 60 and 31, theta= 0.05–0.35 and 0.06–0.45, respectively. Significant superheating is achievable via ultrafast heating. We demonstrate that the degree of superheating achieved in shock-wave loading and intense laser irradiation as well as in molecular dynamics simulations (Q~10^12 K/s) agrees with the theta–beta–Q systematics.

Additional Information

©2003 American Institute of Physics. (Received 1 October 2002; accepted 30 January 2003) This work has been supported by NSF Grant EAR-0207934. Discussions with Z. Gong, D. Stevenson, D. Swift, and R. Jeanloz are appreciated. Contribution No. 8878, Division of Geological and Planetary Sciences, California Institute of Technolgy.

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August 22, 2023
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