Coarse-grained density and compressibility of nonideal crystals : General theory and an application to cluster crystals
Coarse-grained density and compressibility of nonideal crystals : General theory and an application to cluster crystals
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2015
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Physical Review B ; 92 (2015). - 184103. - ISSN 0163-1829. - eISSN 1095-3795
Zusammenfassung
The isothermal compressibility of a general crystal is analyzed within classical density functional theory. Our approach can be used for homogeneous and unstrained crystals containing an arbitrarily high density of local defects. We start by coarse-graining the microscopic particle density and then obtain the long-wavelength limits of the correlation functions of elasticity theory and the thermodynamic derivates. We explicitly show that the long-wavelength limit of the microscopic density correlation function differs from the isothermal compressibility. We apply our theory to crystals consisting of soft particles which can multiply occupy lattice sites ("cluster crystals"). The multiple occupancy results in a strong local disorder over an extended range of temperatures. We determine the cluster crystals isothermal compressibility, the fluctuations of the lattice occupation numbers and theircorrelation functions, and the dispersion relations. We also discuss their low-temperature phase diagram.
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HÄRING, Johannes M., Christof WALZ, Grzegorz SZAMEL, Matthias FUCHS, 2015. Coarse-grained density and compressibility of nonideal crystals : General theory and an application to cluster crystals. In: Physical Review B. 92, 184103. ISSN 0163-1829. eISSN 1095-3795. Available under: doi: 10.1103/PhysRevB.92.184103BibTex
@article{Haring2015Coars-32298, year={2015}, doi={10.1103/PhysRevB.92.184103}, title={Coarse-grained density and compressibility of nonideal crystals : General theory and an application to cluster crystals}, volume={92}, issn={0163-1829}, journal={Physical Review B}, author={Häring, Johannes M. and Walz, Christof and Szamel, Grzegorz and Fuchs, Matthias}, note={Article Number: 184103} }
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