Scaling and width distributions of parity-conserving interfaces.

Area of Science:

• Statistical Physics
• Condensed Matter Physics
• Theoretical Physics

Background:

• Interface dynamics are crucial in various physical phenomena.
• Previous models often struggle with subdiffusive behavior in finite systems.
• Understanding equilibrium and near-equilibrium properties is key.

Purpose of the Study:

• To develop an alternative finite-size approach for parity-conserving interfaces.
• To analyze attachment, dissociation, and detachment processes of extended objects.
• To investigate universal scaling functions and dynamic exponents.

Main Methods:

• Utilizing a nonlocal construct by Barma and Dhar.
• Assembling states from smaller, numerically accessible scales.
• Employing finite-size scaling of evolution operator spectrum gaps.

Main Results:

• Successfully circumvented subdiffusive dynamics.
• Evaluated roughening exponents, height correlations, and width distributions.
• Identified universal scaling functions for interfaces grown from dimers and trimers.
• Studied dynamic exponents through spectrum gap analysis.

Conclusions:

• The proposed finite-size approach is effective for studying interface dynamics.
• The method provides insights into universal scaling behavior near equilibrium.
• This work offers a new perspective on analyzing complex interface phenomena.