Accurate prediction of hard-sphere virial coefficients B6 to B12 from a compressibility-based equation of state

Integration through transients approach to the μ(I) rheology

This work generalizes the granular integration through transients formalism introduced by Kranz et al. [Phys. Rev. Lett. 121, 148002 (2018)10.1103/PhysRevLett.121.148002] to the determination of the pressure. We focus on the Bagnold regime and provide theoretical support to the empirical μ(I) rheology laws that have been successfully applied in many granular flow problems. In particular, we confirm that the interparticle friction is irrelevant in the regime where the μ(I) laws apply.

Equations of the state of hard sphere fluids based on recent accurate virial coefficients B5–B12

A review on the numerical virial coefficients, compressibility factor, fluid–solid phase transition point and equations of the state of hard sphere fluids.

A note on Lee-Yang zeros in the negative half-plane

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 find no direct connection between the positivity of the virial coefficients and the negativity of the L-Y zeros, and provide examples of either one or both properties holding. An explicit calculation of the partition function of the monomer-dimer system on two rows shows that there are at most a finite number of negative virial coefficients in this case.