Pressure Renormalization for Premelting Phenomena

Grzegorz Wiatrowski and Leszek Wojtczak
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Grzegorz Wiatrowski: Solid State Physics Department, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland
Leszek Wojtczak: Solid State Physics Department, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland

Surface Review and Letters (SRL), 1998, vol. 05, issue 02, 479-491

Abstract: We develop the pressure renormalization of a phonon potential for atoms interacting anharmonically, starting from a fully dynamical Hamiltonian description in pseudoharmonic approximation. We derive a generalized equation for the correlation function of atom–atom displacement across a thin film, which under certain conditions reduces to the one previously discussed in the literature. Our theory yields expressions for a series of melting temperatures in terms of the microscopic parameters of a layered system using Lindemann's argument. The global instability temperature is obtained due to the distribution of displacement correlations in the surface region while the local melting transition is recognized as a process of surface premelting which expands into the stable bulk with increasing temperature. The pressure dependencies of instability and premelting temperatures are mainly discussed.

Date: 1998
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DOI: 10.1142/S0218625X98000852

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