Theoretical and experimental data on melting at high pressure are often controversal. This is because of performing experiments at extreme conditions and difficulties with verification of theoretical models. In this paper, we look into details of mostly theoretical studies and compare different approaches to predict and/or describe melting pressure - temperature curves. Some experimental problems are also addressed. Recent results for melting of alkali halides, some oxides and metals (LiF, MgO, MgSiO₃, Cu, and Fe) obtained using molecular dynamic method and diamond anvil cell technique are analyzed.

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