Bizarre behavior of heat capacity in crystals due to interplay between two types of anharmonicities
- 6 April 2018
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 148 (13), 134508
- https://doi.org/10.1063/1.5022969
Abstract
The heat capacity of classical crystals is determined by the Dulong-Petit value C-V similar or equal to D (where D is the spatial dimension) for softly interacting particles and has the gas-like value C-V similar or equal to D/2 in the hard-sphere limit, while deviations are governed by the effects of anharmonicity. Soft-and hard-sphere interactions, which are associated with the enthalpy and entropy of crystals, are specifically anharmonic owing to violation of a linear relation between particle displacements and corresponding restoring forces. Here, we show that the interplay between these two types of anharmonicities unexpectedly induces two possible types of heat capacity anomalies. We studied thermodynamics, pair correlations, and collective excitations in 2D and 3D crystals of particles with a limited range of soft repulsions to prove the effect of interplay between the enthalpy and entropy types of anharmonicities. The observed anomalies are triggered by the density of the crystal, changing the interaction regime in the zero-temperature limit, and can provide about 10% excess of the heat capacity above the Dulong-Petit value. Our results facilitate understanding effects of complex anharmonicity in molecular and complex crystals and demonstrate the possibility of new effects due to the interplay between different types of anharmonicities. Published by AIP Publishing.Funding Information
- Russian Science Foundation (14-22-00093, 17-19-01691)
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