Characteristic power spectrum of diffusive interface dynamics in the two-dimensional Ising model

Area of Science:

• Statistical mechanics
• Condensed matter physics

Background:

• The diffusive motion of interfaces is crucial in understanding phase transitions.
• Previous studies clarified this in 1D systems, like the asymmetric simple exclusion process.

Purpose of the Study:

• To investigate interface motion properties in the 2D Ising model under equilibrium and nonequilibrium conditions.
• To explore the relationship between spin time series power spectrum and interface diffusion.

Main Methods:

• Analysis of the two-dimensional Ising model.
• Examination of spin time series and their power spectrum.
• Investigation of diffusive motion and interface width effects.

Main Results:

• Interface motion is a diffusion process with a drift force.
• The drift is directed towards the higher-temperature side when heat transfers through the system.
• The influence of interface width on its motion was analyzed.

Conclusions:

• The study clarifies the diffusive behavior of interfaces in the 2D Ising model.
• It establishes a connection between spin dynamics and macroscopic interface movement.
• Findings are relevant for systems with thermal gradients and phase transitions.