Liquid pair correlations in four spatial dimensions: Theory versus   simulation
  Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the Ornstein-Zernike equation, by comparing the results to computer simulation data. Our results are of relevance to understand crystal and glass formation in high-dimensional systems. 
M. Heinen, J. Horbach and H. L\"owen
cond-mat.soft