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Updated: Oct 7, 2025

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Reciprocity of thermal diffusion in time-modulated systems
Jiaxin Li1,2, Ying Li3,4,5, Pei-Chao Cao6
1Department of Electrical and Computer Engineering, National University of Singapore, Singapore, 117583, Singapore.
Thermal reciprocity is generally preserved even in time-modulated materials, contrary to common belief. This study clarifies heat transfer symmetry constraints, differing from other transport phenomena.
Area of Science:
- Physics
- Thermodynamics
- Materials Science
Background:
- The reciprocity principle describes symmetry in wave transmission and diffusion processes.
- Time-modulated materials have shown promise in breaking reciprocity for light, sound, and charge.
- Breaking thermal reciprocity using time modulation is a subject of ongoing research and debate.
Purpose of the Study:
- To theoretically investigate and experimentally verify the preservation of thermal reciprocity in time-modulated materials.
- To address misconceptions regarding the breaking of thermal reciprocity.
- To clarify the fundamental differences between thermal diffusion and other transport processes concerning reciprocity.
Main Methods:
- Development of a theoretical framework for diffusive processes in time-modulated materials.
- Mathematical proof demonstrating the preservation of thermal reciprocity via the continuity equation.
- Experimental validation using a time-modulated device to measure heat transfer.
Main Results:
- Thermal reciprocity is generally preserved in dynamic materials due to the continuity equation.
- Time modulation does not inherently break thermal reciprocity, unlike in other transport phenomena.
- Experimental results confirm reciprocal heat transfer in a time-modulated system.
Conclusions:
- The study corrects the perception that time modulation can break thermal reciprocity.
- It highlights the robust nature of symmetry constraints in heat transfer.
- The findings emphasize the unique characteristics of thermal diffusion compared to other transport processes regarding reciprocity.
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