Quantum Hard-Sphere Gas in the Limit of High Densities with Application to Solidified Light Gases

Quantum-Hard-Sphere System Equations of State Revisited

“…The residue A in (4) is now 2 2Â3 ? 2 & 15.7 in full agreement with Cole's empirical residue [14] quoted below (5). Moreover, this modified London (ML) equation agrees dramatically better than the original London (L) equation with GFMC computer simulation [9] of both fluid and crystalline branches of the boson hard-sphere system.…”

“…2 . On the other hand, the experimental value of A extracted by Cole [14] from high-pressure data of 3 He, 4 He, H 2 and D 2 systems is A & 15.7\0.6 for the crystalline branch of the equation of state. In Section 4 we exhibit the behavior of our equations of state as they go to CP and we calculate the residues.…”

Cell model of hydrogen liquid at megabar pressures

“…In Ref. [18][19][20] We show that this contribution corrects the temperature dependence of the melting curve. 17 However, in this work we take into account the thermal contribution of degenerate protons using quantum hard-sphere approach.…”

Extrapolation of perturbation-theory expansions by self-similar approximants

“…found by Cole [13]. To rewrite the low-density asymptotic expression in a more convenient way, we introduce the variable x by the relation ρ ρ 0 = x 6 (1 + x 2 ) 3 .…”

“…In the close-packed limit, the energy behaves asE value B ≡ 2 2/3 π 2 (10.4)found by Cole[13].To rewrite the low-density asymptotic expression in a more convenient way, we introduce the variable x by the relation ρ x 2 ) 3 . (10.5)As is seen, x → 0 when ρ → 0 and x → ∞ when ρ → ρ 0 .…”