Global symmetry breaking in the nonconserved order parameter system during phase ordering.

Area of Science:

• Condensed matter physics
• Statistical mechanics

Background:

• Investigating global symmetry breaking in 2D systems is crucial for understanding phase transitions.
• Scalar nonconserved order parameters are key in describing such systems after a quench.

Purpose of the Study:

• To determine the critical time of symmetry breaking in a 2D system.
• To identify and characterize the possible final morphologies after a quench.
• To analyze the distribution of these final states.

Main Methods:

• Simulating a 2D system with a scalar nonconserved order parameter.
• Analyzing the order parameter's behavior following a quench to zero temperature.
• Identifying domain saturation as the key event for symmetry breaking.

Main Results:

• Symmetry breaking and final morphology selection coincide with order parameter saturation within domains.
• Three primary final morphologies are observed: positive order parameter, negative order parameter, and coexisting phases with a flat interface.
• Each morphology accounts for approximately one-third of the observed cases, aligning with prior research.

Conclusions:

• The saturation of the order parameter is a direct indicator of symmetry breaking and final state selection in these 2D systems.
• The observed equal distribution of the three morphologies provides strong support for the theoretical framework.
• The findings may be extendable to 3D systems, suggesting broader applicability.