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Title: Diffusion of interface and heat conduction in the three-dimensional Ising model
Authors: Masumoto, Yusuke
Takesue, Shinji
Author's alias: 増本, 雄亮
武末, 真二
Issue Date: 20-May-2019
Publisher: American Physical Society (APS)
Journal title: Physical Review E
Volume: 99
Issue: 5
Thesis number: 052128
Abstract: We investigate the relationship between a diffusive motion of an interface, heat conduction, and the roughening transition in the three-dimensional Ising model. We numerically compute the thermal conductivity and the diffusion constant and find that the diffusion constant shows a crossover in its temperature dependence. The crossover temperature is equal to the roughening transition temperature in equilibrium and deviates from it when heat flows in the system. From these results, we discuss the possibility that heat conduction causes a shift of the roughening transition temperature.
Rights: ©2019 American Physical Society
DOI(Published Version): 10.1103/PhysRevE.99.052128
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