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math-ph2026
Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on
Qidong He
We prove the existence of a nematic phase in a model of hard rectangles on the square lattice with two allowed orientations and a large aspect ratio . The proof…
math-ph2026
Unified criteria for crystallization in hard-core lattice systems with applications to polyomino fluids and multi-component mixtures
Qidong He
We present a unified extension of two sets of criteria for high-fugacity crystallization in hard-core lattice systems developed previously by Jauslin, Lebowitz, and the author. Our…