| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Sao Carlos UFSCar, Dept Quim, Sao Carlos, SP - Brazil
[2] Unesp Univ Estadual Paulista, IGCE, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[3] Johannes Kepler Univ Linz, Inst Semicond & Solid State Phys, A-4040 Linz - Austria
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 451, p. 592-600, JUN 1 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
The theoretical model proposed by Einstein to describe the phononic specific heat of solids as a function of temperature consists of the very first application of the concept of energy quantization to describe the physical properties of a real system. Its central assumption lies in the consideration of a total energy distribution among N (in the thermodynamic limit N -> infinity) non-interacting oscillators vibrating at the same frequency (omega). Nowadays, it is well-known that most materials behave differently at the nanoscale, having thus some cases physical properties with potential technological applications. Here, a version of the Einstein model composed of a finite number of particles/oscillators is proposed. The main findings obtained in the frame of the present work are: (i) a qualitative description of the specific heat in the limit of low-temperatures for systems with nano-metric dimensions; (ii) the observation that the corresponding chemical potential function for finite solids becomes null at finite temperatures as observed in the Bose-Einstein condensation and; (iii) emergence of a first-order like phase transition driven by varying N. (C) 2016 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/25210-8 - Theoretical Study of the Asymmetric Production of Enantiomers |
| Grantee: | Emerson Paulinho Boscheto |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 10/11385-2 - Theoretical study of chemical systems |
| Grantee: | Alejandro López Castillo |
| Support Opportunities: | Regular Research Grants |