Virial coefficients and demixing in the Asakura–Oosawa model

Virial coefficients and demixing in the Asakura-Oosawa model.

The problem of demixing in the Asakura-Oosawa colloid-polymer model is considered. The critical constants are computed using truncated virial expansions up to fifth order. While the exact analytical results for the second and third virial coefficients are known for any size ratio, analytical results for the fourth virial coefficient are provided here, and fifth virial coefficients are obtained ...

Erratum: "Virial coefficients and demixing in the Asakura-Oosawa model" [J. Chem. Phys. 142, 014902 (2015)].

Virial coefficients of model alkanes.

We report the results from Mayer-sampling Monte Carlo calculations of the virial coefficients of the united-atom TraPPE-UA model of normal alkanes. For alkane chain lengths from n=2 to 20 (where n is the number of carbon atoms), results are given for the virial coefficients B(2), B(3), and B(4); results for B(5) are given for chains up to length n=12; and results for B(6) are given for chains o...

Eighth to sixteenth virial coefficients of the Lennard-Jones model.

We calculated virial coefficients BN, 8 ≤ N ≤ 16, of the Lennard-Jones (LJ) model using both the Mayer-sampling Monte Carlo method and direct generation of configurations, with Wheatley's algorithm for summation of clusters. For N = 8, 24 values are reported, and for N = 9, 12 values are reported, both for temperatures T in the range 0.6 ≤ T ≤ 40.0 (in LJ units). For each N in 10 ≤ N ≤ 16, one ...

Virial Coefficients of Multispecies Anyons

A path integral formalism for multispecies anyons is introduced, whereby partition functions are expressed in terms of generating functions of winding number probability distributions. In a certain approximation, the equation of state for exclusion statistics follows. By Monte Carlo simulation, third-order cluster and virial coefficients are found numerically.