We analytically calculate some thermodynamic quantities of an ideal g-on gas obeying generalized exclusion statistics. We show that the specific heat of a g-on gas (g 6= 0) vanishes linearly in any dimension as T → 0 when the particle number is conserved and exhibits an interesting dual symmetry that relates the particle-statistics at g to the hole-statistics at 1/g at low temperatures. We deri...

We determine the second and third virial coefficients B2 and B3 for the Gaussian charge polarizable model (GCPM) as a function of temperature over the range 210-723 K. The overlap sampling implementation of Mayer sampling molecular simulation is applied to calculate the values, obtaining results to a precision that ranges from 0.1% for B2 to an average of 1% for B3. These calculated values comp...

An extended corresponding-states model is developed that is capable of correlating and predicting the third virial coefficients for a wide range of substances. The present method only requires substance-dependent parameters, such as the critical temperature, critical volume, acentric factor, and aspherical factor, which are based on the simple extended corresponding-states principle. Comparison...

The available virial coefficients for the two-dimensional hard-disks model are transformed into a matrix representation of the thermodynamic potentials, which allows for an accurate description of the whole fluid phase, up to the phase transition. We find that the fluid phase terminates at the transition point, implying a second-order phase transition in accordance with the Kosterlitz-Thouless-...

Important progress has been made in recent years toward developing a molecular-level understanding of protein phase behavior in terms of the osmotic second virial coefficient, a thermodynamic parameter that characterizes pairwise protein interactions. Yet there has been little practical application of this knowledge to the field of protein crystallization, largely because of the difficult and t...