3 papers
math-ph2025
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 and Lieb (1979), which consists of a system of dimers on the square lattice at chemical potential ,…
math-ph2025
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…
math.PR2025
Upper bounds for the connective constant of weighted self-avoiding walks
Qidong He
Building on a work by Alm, we consider a model of weighted self-avoiding walks on a lattice and develop a method for computing upper bounds on the corresponding weighted connective…