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Theory for Periodic Structure: Thermal Transparency

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Abstract

Almost all thermal metamaterials are essentially achieved by tailoring asymmetric interaction between matrices and embedded particles. However, the asymmetric interaction results in the noncommutativity of matrices and particles, which may reduce the flexibility for heat management. To solve this problem, this chapter describes a different mechanism by tailoring symmetric interaction between particles arranged in periodic lattices, thus being called periodic interparticle interaction. For practical application, the representative thermal transparency is introduced, which, however, is realized by tailoring periodic interparticle interaction. Theoretical analysis, finite-element simulation, and laboratory experiment all validate the proposed mechanism. Moreover, the Maxwell–Garnett theory and the Bruggeman theory are re-visited from their scope and relation with theoretical analysis and finite-element analysis. Compared with the existing thermal transparency, the present scheme looks more feasible to handle many-particle systems. This chapter opens a gate to exploring periodic interparticle interaction, and further work can be expected: (I) exploring periodic interparticle interaction with different lattice types and relative positions for particle arrangement; (II) applying periodic interparticle interaction to achieve other functions, such as thermal camouflage.

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Correspondence to Ji-Ping Huang .

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Huang, JP. (2020). Theory for Periodic Structure: Thermal Transparency. In: Theoretical Thermotics. Springer, Singapore. https://doi.org/10.1007/978-981-15-2301-4_17

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  • DOI: https://doi.org/10.1007/978-981-15-2301-4_17

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2300-7

  • Online ISBN: 978-981-15-2301-4

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