Work

Ballistic-Diffusive Model for Heat Transport in Superlattices and the Minimum Effective Heat Conductivity

Year: 2020

Type: article

Abstract: There has been much interest in semiconductor superlattices because of their low thermal conductivities. This makes them especially suitable for applications in a variety of devices for the thermoelectric generation of energy, heat control at the nanometric length scale, etc. Recent experiments have confirmed that the effective thermal conductivity of superlattices at room temperature have a minimum for very short periods (in the order of nanometers) as some kinetic calculations had anticipated previously. This work will show advances on a thermodynamic theory of heat transport in nanometric 1D multilayer systems by considering the separation of ballistic and diffusive heat fluxes, which are both described by Guyer-Krumhansl constitutive equations. The dispersion relations, as derived from the ballistic and diffusive heat transport equations, are used to derive an effective heat conductivity of the superlattice and to explain the minimum of the effective thermal conductivity.

Source: Entropy

DOI: 10.3390/e22020167

Authors: Federico Vázquez, Péter Ván, Róbert Kovács

Institutions: Universidad Autónoma del Estado de México, Universidad Autónoma del Estado de Morelos, Budapest University of Technology and Economics, HUN-REN Wigner Research Centre for Physics, Montavid Thermodynamic Research Group

Language: English

Topic: Thermal properties of materials

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,690

Funders: Budapesti Műszaki és Gazdaságtudományi Egyetem, Consejo Nacional de Ciencia y Tecnología, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Tempus Közalapítvány