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Heat conductivity in linear mixing systems.
Baowen Li1, Giulio Casati, Jiao Wang
1Department of Physics, National University of Singapore, 117542 Singapore.
Summary
This study demonstrates that a specific linear mixing system with triangular scatterers follows Fourier
Area of Science:
- Physics
- Thermodynamics
- Statistical Mechanics
Background:
- Heat conduction is fundamental to thermodynamics.
- Understanding heat transport in complex systems is crucial for materials science and engineering.
Purpose of the Study:
- To investigate heat conduction in a quasi-one-dimensional linear mixing system.
- To determine if such systems obey Fourier's law.
Main Methods:
- Analytical calculations.
- Numerical simulations.
Main Results:
- The system with triangular scatterers obeys Fourier's law of heat conduction.
- Deterministic diffusion and normal heat transport were observed.
Conclusions:
- Systems without exponential instability can exhibit normal heat transport.
- Fourier's law applies even in deterministic systems with specific geometric configurations.