A non-local and non-linear thermodynamical model of heat transfer at nanoscale beyond the well-known Maxwell-Cattaneo theory is derived. The compatibility of the proposed model with second law of thermodynamics is proved. The model is subsequently used to investigate the propagation of a heat pulse in one-dimensional nanosystems in the linear case. The predicted results are compared with those arising from the Maxwell-Cattaneo theory in order to point out the possible influence both of the non-local effects, and of the relaxation effects of the higher-order fluxes. Some problems related to initial data and boundary conditions are also discussed.

Thermal pulse propagation beyond the Maxwell-Cattaneo theory: Application to one-dimensional nanosystems

Di Domenico, M;Sellitto, A;Zampoli, V
2022

Abstract

A non-local and non-linear thermodynamical model of heat transfer at nanoscale beyond the well-known Maxwell-Cattaneo theory is derived. The compatibility of the proposed model with second law of thermodynamics is proved. The model is subsequently used to investigate the propagation of a heat pulse in one-dimensional nanosystems in the linear case. The predicted results are compared with those arising from the Maxwell-Cattaneo theory in order to point out the possible influence both of the non-local effects, and of the relaxation effects of the higher-order fluxes. Some problems related to initial data and boundary conditions are also discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4804192
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