Nonlocal thermal Willis coupling in laminated conductors
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909049960792064 |
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| author | Wu, Chunlin Shmuel, Gal Yin, Huiming |
| author_facet | Wu, Chunlin Shmuel, Gal Yin, Huiming |
| contents | Building on Willis' homogenization framework, recent work has revealed that heterogeneous conductors exhibit macroscopic thermal bianisotropy, in which the macroscopic heat flux and entropy are nonlocally coupled to both temperature and temperature gradient. Existing numerical examples, however, are limited to the subwavelength regime. Here, we provide the first explicit demonstration of this spatial nonlocality by computing the effective kernels of a periodic laminate using three independent homogenization methods. The three approaches yield consistent nonlocal cross-coupling terms, clarifying the roles of spatial asymmetry and averaging choice. We also calculate the corresponding thermal impedance and show that it is direction-dependent, highlighting a physical signature of thermal bianisotropy relevant to thermal metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16983 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlocal thermal Willis coupling in laminated conductors Wu, Chunlin Shmuel, Gal Yin, Huiming Mathematical Physics Analysis of PDEs 80M40 Building on Willis' homogenization framework, recent work has revealed that heterogeneous conductors exhibit macroscopic thermal bianisotropy, in which the macroscopic heat flux and entropy are nonlocally coupled to both temperature and temperature gradient. Existing numerical examples, however, are limited to the subwavelength regime. Here, we provide the first explicit demonstration of this spatial nonlocality by computing the effective kernels of a periodic laminate using three independent homogenization methods. The three approaches yield consistent nonlocal cross-coupling terms, clarifying the roles of spatial asymmetry and averaging choice. We also calculate the corresponding thermal impedance and show that it is direction-dependent, highlighting a physical signature of thermal bianisotropy relevant to thermal metamaterials. |
| title | Nonlocal thermal Willis coupling in laminated conductors |
| topic | Mathematical Physics Analysis of PDEs 80M40 |
| url | https://arxiv.org/abs/2605.16983 |