Disordered ground states in one-dimensional exactly solvable fluids

One-dimensional fluids of classical hard-core particles of diameter $a$, interacting in pairs via a soft repulsive (monotonically decreasing) potential of finite range $φ(x)=\varepsilon \left[ (a'-x)/(a'-a)\right]^{1/ν}$ $(a\le x\le a')$ with real positive parameters $\varepsilon$ and $ν$, are studi