Phonon hydrodynamics revisited
Date
2025
Authors
Struchtrup, Henning
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Publisher
Springer
Abstract
The equations of phonon hydrodynamics are re-considered in the framework of expansions of the phonon kinetic equation for large frequency of momentum conserving N-processes. Specifically, the Chapman-Enskog expansion provides a sound derivation of non-linear transport equations that fulfill all necessary compatibility requirements. The celebrated Guyer-Krumhansl equations can only be derived under the more restrictive condition of slow processes, and are affected by compatibility problems. The impact of different energy-temperature relations on the structure of equations is discussed.
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Citation
Struchtrup, H. (2025). Phonon hydrodynamics revisited. In Fuhrmann, J., Hömberg, D., Müller, W.H., & Weiss, W. (Eds.) Advances in continuum physics. Advanced structured materials, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-031-93918-1_27