2003/01/28 by Mark A. Miller, Daan Frenkel · 144 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Adhesive #Checkerboard #Condensed matter physics #Critical exponent #Critical point (mathematics) #Electrical resistivity and conductivity #Geometry #Hard spheres #Ising model #Material Dynamics and Properties #Materials science #Mathematics #Monte Carlo method #Nanotechnology #Percolation (cognitive psychology) #Percolation threshold #Phase (matter) #Phase Equilibria and Thermodynamics #Phase diagram #Phase transition #Physics #Quantum mechanics #Renormalization group #SPHERES #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.90.135702
published in Physical Review Letters 90(13), 135702 (American Physical Society) · 4 pages, 3 figures
arxiv created 2003/01/28 · openalex publication_date 2003/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a combination of Monte Carlo techniques, we locate the liquid-vapor critical point of adhesive hard spheres. We find that the critical point lies deep inside the gel region of the phase diagram. The (reduced) critical temperature and density are tau(c)=0.1133+/-0.0005 and rho(c)=0.508+/-0.01. We compare these results with the available theoretical predictions. Using a finite-size scaling analysis, we verify that the critical behavior of the adhesive hard sphere model is consistent with that of the 3D Ising universality class, the default for systems with short-range attractive forces.