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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Laterally driven interfaces in the three-dimensional Ising lattice gas.

Thomas H R Smith¹, Oleg Vasilyev, Anna Maciołek

¹University of Bristol, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 28, 2010

Summary

Driven Ising lattice gas simulations reveal shear-like forces confine interfaces, reducing width and sharpening profiles above the roughening temperature. Lateral capillary wave transport occurs with specific force fields, persisting even below this temperature.

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Area of Science:

Statistical Mechanics
Condensed Matter Physics
Computational Physics

Background:

Phase-separated systems exhibit interfaces whose behavior is crucial in various physical phenomena.
Understanding interfacial dynamics under external driving forces is key to controlling material properties.
Equilibrium interfacial properties are well-studied, but driven systems present unique challenges.

Purpose of the Study:

To investigate the steady-state behavior of a 3D phase-separated driven Ising lattice gas.
To analyze the effect of external force fields on interfacial properties and dynamics.
To compare driven system behavior with equilibrium conditions and previous 2D studies.

Main Methods:

Three-dimensional computer simulations using Kawasaki dynamics.
Application of external force fields F(z) parallel to the interface in the x-direction.
Analysis of lateral order parameter current j^{x}(z) and its relation to the force field.

Main Results:

Above the roughening temperature, shear-like forces act as effective confinement, reducing interfacial width and sharpening magnetization profiles.
Lateral transport of capillary waves is observed for specific force field profiles (odd functions of z).
Capillary wave suppression is stronger for V-shaped forces than for shearlike forces, and interfacial motion persists below the roughening temperature.

Conclusions:

Driven Ising lattice gas exhibits distinct steady-state behavior compared to equilibrium, influenced by external forces.
The effective confinement picture holds above the roughening temperature, explaining reduced interfacial fluctuations.
Lateral interface motion is a robust phenomenon in driven systems, even when equilibrium theories break down.