1998/01/15 by Miguel Cárdenas, Miguel Cardenas, Silvio Franz +1 · 101 citations
Agricultural and Biological Sciences · Materials Science · Mathematics · Physics and Astronomy · #Boltzmann constant #Chain (unit) #Class (philosophy) #Computer science #Condensed matter physics #Glass transition #Material Dynamics and Properties #Materials science #Mathematics #Mean field theory #Measure (data warehouse) #Monte Carlo method #Physics #Polymer #Quantum mechanics #Range (aeronautics) #Sensory Analysis and Statistical Methods #Simple (philosophy) #Spin glass #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.478028
published in The Journal of Chemical Physics 110(3), 1726-1734 (American Institute of Physics) · 16 pages, 11 eps figures
arxiv created 1998/01/15 · openalex publication_date 1999/01/15 · arxiv updated 2009/11/30 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05
By means of an effective potential associated with a constrained equilibrium measure and apt to study frozen systems, we investigate glassy freezing in simple liquids in the hypernetted chain (HNC) approximation. Unlike other classical approximations of liquid theory, freezing is naturally embedded in the HNC approximation. We give a detailed description of the freezing transition that is analogous to the one given in a large class of mean-field long range spin glass. We compare our findings with Monte Carlo simulations of the same system and conclude that many of the qualitative features of the transition are captured by the approximated theory.