The Einstein specific heat model for finite systems

Autor(es)

Boscheto, E. ^[1] ; de Souza, M. ^{[2, 3]} ; Lopez-Castillo, A. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 451, p. 592-600, JUN 1 2016.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 13/25210-8 - Estudo Teórico da Produção Assimétrica de Enantiômeros
• Beneficiário: Emerson Paulinho Boscheto
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 10/11385-2 - Estudo teórico de sistemas químicos
• Beneficiário: Alejandro López Castillo
• Modalidade de apoio: Auxílio à Pesquisa - Regular