The charge dependent hard-sphere model: Polycrystals as low-energy configurations

arXiv:2609.21508 · cond-mat.stat-mech, cond-mat.mes-hall, math-ph, math.MP · Submitted 2026-09-18 · Read on arXiv

cond-mat.stat-mech, cond-mat.mes-hall, math-ph, math.MP

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Homogeneity — 2× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Homogenization — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Phase-field approximation of sharp-interface energies accounting for lattice symmetry
• Crystallization in the Winterbottom shape and sharp fluctuation laws
• An Energy Estimate for Dislocation Configurations and the Emergence of Cosserat-Type Structures in Metal Plasticity
• Emergence of rigid Polycrystals from atomistic Systems with general Interactions

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