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Diffusion of interface and heat conduction in the three-dimensional Ising model
Yusuke Masumoto1, Shinji Takesue1
1Department of Physics, Kyoto University, Kyoto 6068502, Japan.
Physical Review. E
|June 20, 2019
Summary
We studied interface motion, heat conduction, and roughening transitions in the 3D Ising model. Heat flow shifts the roughening transition temperature, differing from equilibrium predictions.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The 3D Ising model describes magnetic materials and phase transitions.
- Interface dynamics and heat conduction are crucial in understanding material properties.
Purpose of the Study:
- Investigate the interplay between interface diffusion, heat conduction, and roughening transitions.
- Determine if heat flow alters the equilibrium roughening transition temperature.
Main Methods:
- Numerical computation of thermal conductivity.
- Numerical computation of the diffusion constant for interfaces.
- Analysis of temperature dependence of the diffusion constant.
Main Results:
- The diffusion constant exhibits a crossover in its temperature dependence.
- The crossover temperature matches the equilibrium roughening transition temperature.
- This crossover temperature deviates from the equilibrium value under heat flow.
Conclusions:
- Heat conduction influences interface dynamics.
- Heat flow can induce a shift in the roughening transition temperature.
- This finding has implications for understanding non-equilibrium phase transitions in magnetic systems.
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