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Updated: Aug 5, 2026

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Dynamically adjustable topological edge states in thermal diffusion-advection system
Quan Liu1, Zhaochen Wang1, Maojin Zeng2
1School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
We introduce dynamically adjustable topological edge states in thermal diffusion-advection systems. This extends topological concepts beyond pure conduction, enabling novel thermal management strategies.
Area of Science:
- Physics
- Thermodynamics
- Condensed Matter Physics
Background:
- Topological edge states are well-established in wave and condensed matter systems.
- Recent extensions to thermal diffusion systems are limited to pure conduction.
- Thermal advection has not been incorporated into topological thermal studies.
Purpose of the Study:
- To extend topological edge states to diffusion-advection dynamics.
- To investigate dynamically adjustable topological states in thermal systems.
- To explore the impact of advection on thermal properties.
Main Methods:
- Derivation of the governing Hamiltonian for a thermal lattice with diffusion and advection.
- Analysis of non-Hermitian eigenvalues (diffusion rate and advection rate).
- Observation and comparative analysis of bulk and edge states.
Main Results:
- Emergence of topological edge states in the band gap of bulk states.
- Demonstration of dynamically adjustable topological states influenced by advection coefficients.
- Identification of unique thermal properties conferred by the advection term.
Conclusions:
- Topological edge states can be realized in diffusion-advection systems.
- Thermal advection introduces dynamically adjustable topological properties.
- This work offers new avenues for thermal management and protection applications.
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