Abstract
The novel concept of spectral diffusivity is introduced to analyze the dissipative properties of continua. The dissipative components of a linear system of evolution equations are separated into noninteracting parts. This separation is similar to mode analysis in wave propagation. The new modal quantities characterize dissipation and are best interpreted as effective diffusivities, or, in case of the heat conduction, as effective heat conductivities of the material.
Funding statement: The work was supported by the grants National Research, Development and Innovation Office – FK134277 and NKFIH 123815, and by the János Bolyai Research Scholarship of the Magyar Tudományos Akadémia (R. K.). The research reported in this paper and carried out BME has been supported by the NRDI Fund (TKP2020 NC, Grant No. BME-NCS) based on the charter of bolster issued by the NRDI Office under the auspices of the Ministry for Innovation and Technology.
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