Superheating systematics of crystalline solids

Luo, Sheng-Nian; Ahrens, Thomas J.
March 2003
Applied Physics Letters;3/24/2003, Vol. 82 Issue 12, p1836
Academic Journal
Systematics of superheating (θ=T/T[sub m-1]) of crystalline solids as a function of heating rate (Q) are established as β=A(Q)(θ+1)θ², where the normalized energy barrier for homogeneous nucleation is β=16πγ[sup 3, sub sl]/(3 k T[sub m] ΔH[sup 2, sub m]), T is temperature, T[sub m] melting temperature, A a Q-dependent parameter, γ[sub sl] interfacial energy, ΔH[sub m] heat of fusion, and k Boltzmann's constant. For all elements and compounds investigated, β varies between 0.2 and 8.2. At 1 and 10[sup 12] K/s, A =60 and 31, θ = 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[sup 12] K/s) agrees with the θ-β-Q systematics.


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