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Transition from ballistic to diffusive heat transfer in a chain with breaks
Anton M Krivtsov1, Vitaly A Kuzkin1, Vadim A Tsaplin1
1<a href="https://ror.org/02x91aj62">Peter the Great Saint Petersburg Polytechnic University</a>, Saint Petersburg 195251, Russia and <a href="https://ror.org/047pt5178">Institute for Problems in Mechanical Engineering RAS</a>, Saint Petersburg 199178, Russia.
Physical Review. E
|December 18, 2024
Summary
Bond dissociation in one-dimensional chains drives the transition from ballistic to diffusive heat transfer. This study models heat transport, revealing deviations from Fourier
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Thermodynamics
Background:
- Heat transfer in low-dimensional systems can exhibit non-diffusive behavior.
- Understanding the transition from ballistic to diffusive transport is crucial for nanoscale thermal management.
Purpose of the Study:
- To investigate the mechanism of transition from ballistic to diffusive heat transfer in one-dimensional systems.
- To develop and analyze a kinetic model for heat transport in chains with dissociating bonds.
Main Methods:
- Modeling a one-dimensional chain with harmonic interparticle forces and bond dissociation.
- Developing a kinetic model using a gas of noninteracting quasiparticles reflecting from random barriers.
- Analytical solution of the kinetic equation for the quasiparticle gas.
Main Results:
- The kinetic model analytically demonstrates the transition from ballistic (short times) to diffusive (long times) heat transfer.
- In the diffusive limit, heat propagation shows square-root asymptotics but deviates from Gaussian profiles, violating Fourier's law.
- The model shows good qualitative agreement with numerical simulations of the chain dynamics.
Conclusions:
- Bond dissociation is a key mechanism enabling the transition from ballistic to diffusive heat transfer.
- The proposed kinetic model provides a valuable framework for studying anomalous heat transport.
- Deviations from Fourier's law are observed in the diffusive regime due to the underlying microscopic dynamics.
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