Modeling the propagation of a temperature field in a one-dimensional quasi-periodic gradient material

Authors: Ershov G.A., Kochikina L.V.
Published in issue: #5(106)/2026
DOI:
Category: Mathematics | Chapter: Computational Mathematics
Keywords: quasicrystal, thermal conduction, gradient, thermal protection, finite-difference modeling, nanoelectronics
Published: 03.11.2026

In this paper was studied a one-dimensional quasi-periodic gradient binary material with a period that varies linearly (increases or decreases) from the surface to the depth. Finite-difference modeling of the propagation of a periodic thermal perturbation into the material was performed for samples with low and high gradients, and the frequency and time dependences of the effective penetration depth of the external harmonic forcing were obtained. The results can be used to create new, more efficient heat-distributing composite materials for thermal barrier coatings, including for use in microprocessors manufactured using nanometer technology.

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