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Thermal Willis Coupling in Spatiotemporal Diffusive Metamaterials.

Liujun Xu1,2, Guoqiang Xu1, Jiaxin Li1

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Researchers created spatiotemporal diffusive metamaterials exhibiting thermal Willis coupling. This novel coupling enables asymmetric heat diffusion, controllable by material modulation, opening avenues for directional thermal management.

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Area of Science:

  • Metamaterials Science
  • Thermodynamics
  • Transport Phenomena

Background:

  • Willis coupling, typically seen in wave systems, arises from bianisotropy or chirality.
  • Such coupling is absent in standard diffusion systems governed by Fourier's law.

Purpose of the Study:

  • To introduce and investigate thermal Willis coupling in spatiotemporal diffusive metamaterials.
  • To explore the manipulation of heat flux and temperature change rate through modulated material properties.

Main Methods:

  • Modulating thermal conductivity and mass density in heat transfer to create spatiotemporal diffusive metamaterials.
  • Modifying Fourier's law to account for homogenized spatiotemporal parameters.
  • Analyzing the emergence of thermal Willis coupling between heat flux and temperature change rate.

Main Results:

  • Demonstrated thermal Willis coupling in diffusive metamaterials by altering thermal conductivity and mass density.
  • Observed asymmetric heat diffusion driven by thermal Willis coupling.
  • Showcased the reversibility of diffusion direction at a critical modulation point.
  • Confirmed the robustness of thermal Willis coupling even with modulation of thermal conductivity alone.

Conclusions:

  • Spatiotemporal diffusive metamaterials can exhibit thermal Willis coupling, enabling asymmetric heat diffusion.
  • The direction of diffusion is controllable and reversible via spatiotemporal modulation.
  • These findings offer potential for directional diffusion applications and understanding nonequilibrium energy transfer.