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Characterization of Thermal Transport in One-dimensional Solid Materials
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Thermal-rectification coefficients in solid-state thermal rectifiers.

Wataru Kobayashi1

  • 1Division of Physics, Faculty of Pure and Applied Sciences, University of Tsukuba, Ibaraki 305-8571, Japan and Tsukuba Research Center for Energy Materials Science, University of Tsukuba, Ibaraki 305-8571, Japan.

Physical Review. E
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Summary

Solid-state thermal rectifiers control heat flux, acting like electrical diodes for heat. This study analyzes thermal rectification coefficients for various materials, revealing significant potential for advanced thermal management applications.

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Area of Science:

  • Materials Science
  • Thermodynamics
  • Solid-State Physics

Background:

  • Thermal rectifiers enable directional heat flow, analogous to electrical diodes.
  • Solid-state thermal rectifiers offer controllable heat flux for theoretical and practical applications.

Purpose of the Study:

  • To analytically examine thermal-rectification coefficients (R) for various thermal rectifier models.
  • To investigate the impact of temperature-dependent thermal conductivity on rectification performance.

Main Methods:

  • Analysis of analytical expressions for thermal-rectification coefficients (R).
  • Modeling thermal conductivity as a function of temperature (T) using linear, quadratic, inverse, and exponential functions.
  • Calculation of maximum R values for different thermal conductivity models.

Main Results:

  • Maximum R values of 3 for linear and approximately 14 for quadratic temperature-dependent thermal conductivity.
  • Potential for R to reach κ₂/κ₁ (ratio of maximum to minimum thermal conductivity) using phase-transition materials.
  • Analytical examination of R for inverse and exponential thermal conductivity functions.

Conclusions:

  • Thermal rectifiers with specific nonlinear thermal conductivities demonstrate high rectification efficiency.
  • Structural-phase-transition materials offer a pathway to ideal thermal rectification.
  • The study provides a theoretical framework for designing efficient solid-state thermal rectifiers.