Critical transition of thermal rectification on complex networks

Area of Science:

• Condensed Matter Physics
• Statistical Mechanics
• Materials Science

Background:

• Thermal rectification controls heat flow direction, crucial for thermal management.
• Existing thermal diodes lack tunable rectification modes.
• Complex networks offer potential for novel thermal transport phenomena.

Purpose of the Study:

• To propose and investigate a heat conduction model on complex networks with non-uniform node mass distribution.
• To identify the critical parameters governing thermal rectification.
• To elucidate the physical mechanism behind the observed thermal rectification behavior.

Main Methods:

• Development of a heat conduction model on complex networks with mass distribution mi∼kiα.
• Theoretical analysis utilizing phonon spectra.
• Systematic variation of network parameters (size, degree, distribution).

Main Results:

• A critical exponent α=1 was identified, determining the mode of thermal rectification.
• Positive rectification observed for α>1, negative rectification for α<1.
• The critical transition is independent of network size, average degree, and degree distribution.

Conclusions:

• The study reveals a general phenomenon of critical transition in thermal rectification.
• Phonon spectra analysis identified the underlying physical mechanism.
• Findings offer a new pathway for implementing and enhancing thermal diodes for efficient thermal management.