We obtain lower bounds on the inverse compressibility of systems whose Lee-Yang zeros of the grand-canonical partition function lie in the left half of the complex fugacity plane. This includes in particular systems whose zeros lie on the negative real axis such as the monomer-dimer system on a lattice. We also study the virial expansion of the pressure in powers of the density for such systems...

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...

Cluster integrals are evaluated for the coefficients of the combined temperature- and density-expansion of pressure: Z = 1 + B2(β) η + B3(β) η(2) + B4(β) η(3) + ⋯, where Z is the compressibility factor, η is the packing fraction, and the B(i)(β) coefficients are expanded as a power series in reciprocal temperature, β, about β = 0. The methodology is demonstrated for square-well spheres with λ =...

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...

Measurements of liquid-liquid phase transition temperatures (cloud points) of mixtures of a protein (lysozyme) and a polymer, poly(ethylene glycol) (PEG) show that the addition of low molecular weight PEG stabilizes the mixture whereas high molecular weight PEG was destabilizing. We demonstrate that this behavior is inconsistent with an entropic lysozyme-PEG depletion interaction and suggest th...