Analytic calculation of B4 for hard spheres in even dimensions
arXiv:cond-mat/0303098 · doi:10.1023/B:JOSS.0000013959.30878.d2
Abstract
We exactly calculate the fourth virial coefficient for hard spheres in even dimensions for D=4,6,8,10, and 12.
12 pages, 10 figures. Some typos corrected. Final version, to appear in the Journal of Statistical Physics
Cited by in corpus (28)
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
- Hard sphere crystallization gets rarer with increasing dimension
- Simulation-based equation of state of the hard disk fluid and prediction of higher-order virial coefficients
- New results for virial coefficients of hard spheres in D dimensions
- Structure of hard-hypersphere fluids in odd dimensions
- Solution of the Percus-Yevick equation for hard hyperspheres in even dimensions
- Hard Discs on the Hyperbolic Plane
- The fourth virial coefficient of a fluid of hard spheres in odd dimensions
- Equation of state of a seven-dimensional hard-sphere fluid. Percus-Yevick theory and molecular dynamics simulations
- Virial series for fluids of hard hyperspheres in odd dimensions
- Geometrical Frustration in Two Dimensions: Idealizations and Realizations of a Hard Disc Fluid in Negative Curvature
- Percus-Yevick theory for the structural properties of the seven-dimensional hard-sphere fluid
- A branch-point approximant for the equation of state of hard spheres
- On the relation between virial coefficients and the close-packing of hard disks and hard spheres
- Three-body interactions in complex fluids: virial coefficients from simulation finite-size effects
- Multicomponent fluids of hard hyperspheres in odd dimensions
- Additivity, density fluctuations, and nonequilibrium thermodynamics for active Brownian particles
- Demixing can occur in binary hard-sphere mixtures with negative non-additivity
- Quantifying the effects of neglecting many-body interactions in coarse-grained models of complex fluids
- Radial distribution function for hard spheres in fractal dimensions: A heuristic approximation
- Statistical Mechanics of Two Hard Spheres in a Spherical Pore, Exact Analytic Results in D Dimension
- Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
- Fourth virial coefficient of additive hard-sphere mixtures in the Percus-Yevick and hypernetted-chain approximations
- The fourth virial coefficient for hard spheres in even dimension
- Extension of the Uhlenbeck-Ford Model with an Attraction
- Virial Equation of State for a Granular System
- Equation of state for five-dimensional hyperspheres from the chemical-potential route