We present new results for the virial coefficients Bk with k ≤ 10 for hard spheres in dimensions D = 2, · · · , 8.

The recently discovered attractive force between hydrophobic surfaces is incorporated in a theory of polyelectrolyte solutions. Ita influence on the second and third virial coefficients is estimated. Binary collisions between two polyions are virtually unaffected by attractive forces of long range whereas the impact on the third virial coefficient is enormous. The theoretical coefficients are c...

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...