3 citations · 4 across the 10 of their papers we have counts for
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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…
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…
Extended regime of nematic order in an interacting monomer-dimer model of Heilmann and Lieb
Qidong He
We revisit a two-dimensional model of liquid crystals introduced by Heilmann--Lieb (1979), which consists of dimers on the square lattice at chemical potential , interacting via…
Liquid-vapor transition in a model of a continuum particle system with finite-range modified Kac pair potential
Qidong He, Ian Jauslin, Joel Lebowitz +1
We prove the existence of a phase transition in dimension in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of r…
Analyticity for locally stable hard-core gases via recursion
Qidong He
In their recent works [Comm. Math. Phys. 399:1 (2023)] and [arXiv:2109.01094], Michelen and Perkins proved that the pressure of a system of particles with repulsive pair interactio…
High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
Qidong He, Ian Jauslin
In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in arbitrary dimensions. We establish a criterion…