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.

• Publication year

  2014

• Venue

  Molecular Physics

• Publication date

  2014-11-06

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1080/00268976.2014.993736arXiv 1411.1666
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Theory Of Simple Liquids

  2016influential reference
• Freezing lines of colloidal Yukawa spheres. II. Local structure and characteristic lengths.

  2014cited by this paper
• Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions

  2013cited by this paper
• Structure and short-time dynamics in concentrated suspensions of charged colloids.

  2012cited by this paper
• Complex Plasmas and Colloidal Dispersions: Particle-Resolved Studies of Classical Liquids and Solids

  2012cited by this paper
• Glass transition and random close packing above three dimensions.

  2011cited by this paper
• Pair structure of the hard-sphere Yukawa fluid: an improved analytic method versus simulations, Rogers-Young scheme, and experiment.

  2011cited by this paper
• Helicity in cylindrically confined Yukawa systems

  2011cited by this paper
• Glass transition of hard spheres in high dimensions.

  2010cited by this paper
• Liquids and Structural Glasses Special Feature: Spatial dimension and the dynamics of supercooled liquids

  2009cited by this paper
• Crystal nuclei and structural correlations in two-dimensional colloidal mixtures: experiment versus simulation

  2009cited by this paper
• Hard-sphere crystallization gets rarer with increasing dimension.

  2009cited by this paper
• Twenty years of confined colloids: from confinement-induced freezing to giant breathing

  2009cited by this paper
• Numerical and theoretical study of a monodisperse hard-sphere glass former.

  2009cited by this paper
• Glass transitions in one-, two-, three-, and four-dimensional binary Lennard-Jones systems

  2009cited by this paper
• Thermodynamically consistent integral equation for soft repulsive spheres.

  2008cited by this paper
• Solution of the Percus-Yevick equation for hard hyperspheres in even dimensions.

  2008cited by this paper
• Structural precursor to freezing: an integral equation study.

  2008cited by this paper
• Structure of hard-hypersphere fluids in odd dimensions.

  2007cited by this paper
• Short-range order of stable and undercooled liquid titanium

  2007cited by this paper
• Packing hyperspheres in high-dimensional Euclidean spaces.

  2006cited by this paper
• Effects of confinement on freezing and melting

  2006cited by this paper
• Critical fluctuations and breakdown of the Stokes–Einstein relation in the mode-coupling theory of glasses

  2006cited by this paper
• Re-entrant melting and freezing in a model system of charged colloids.

  2005cited by this paper
• A consistent integral equation theory for hard spheres.

  2004cited by this paper
• Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition

  2004cited by this paper
• Equation of state of a seven-dimensional hard-sphere fluid. Percus-Yevick theory and molecular-dynamics simulations.

  2003cited by this paper
• Icosahedral short-range order in deeply undercooled metallic melts.

  2002cited by this paper
• Equation of state and structure of binary mixtures of hard d-dimensional hyperspheres

  2001cited by this paper
• Freezing transition of hard hyperspheres.

  2001cited by this paper
• Uncorrelated modes of the non-linear power spectrum

  1999cited by this paper
• Two-stage melting of paramagnetic colloidal crystals in two dimensions

  1999cited by this paper
• PHASE DIAGRAM OF HARD SPHERES CONFINED BETWEEN TWO PARALLEL PLATES

  1997cited by this paper
• On the dynamics and structure of charge-stabilized suspensions

  1996cited by this paper
• Integral equation theory description of phase equilibria in classical fluids

  1996cited by this paper
• Liquid state theories and critical phenomena

  1995cited by this paper
• Static structure of strongly interacting colloidal particles

  1992cited by this paper
• Computer Simulation of Liquids

  1988cited by this paper
• Thermodynamics and structure of a fluid of hard rods, disks, spheres, or hyperspheres from rescaled virial expansions.

  1987cited by this paper
• Self‐consistent integral equations for fluid pair distribution functions: Another attempt

  1986cited by this paper
• New, thermodynamically consistent, integral equation for simple fluids

  1984cited by this paper
• A rescaled MSA structure factor for dilute charged colloidal dispersions

  1982cited by this paper
• Accurate solutions to integral equations describing weakly screened ionic systems

  1980cited by this paper
• Numerical Fourier and Bessel transforms in logarithmic variables

  1978cited by this paper
• Solution of the Yukawa closure of the Ornstein-Zernike equation

  1977cited by this paper
• Hypernetted chain solutions for the classical one‐component plasma up to Γ=7000

  1974cited by this paper
• Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids

  1971cited by this paper
• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

  1958cited by this paper
• Theory of Classical Fluids: Hyper-Netted Chain Approximation, I Formulation for a One-Component System

  1958cited by this paper

• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures

  2020cites this paper
• Calculating particle pair potentials from fluid‐state pair correlations: Iterative ornstein–zernike inversion

  2017cites this paper
• Short-time diffusion in concentrated bidisperse hard-sphere suspensions.

  2014cites this paper
• SHORT-TIME DIFFUSION OF COLLOIDAL SUSPENSIONS

  year unknowncites this paper