{
  "abstract": "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 studied in an isothermal-isobaric ensemble. If $a'\\le 2a$, the pairwise interactions are reduced to nearest-neighbour interactions, which allows for an exact solution of the thermal equilibrium. We focus on the $T\\to 0$ ground states, specifically on the equation of state for the mean distance between nearest neighbours $l_0$ and the pair correlation function $g_0(x)$. If $φ(x)$ is concave $(ν\\ge 1)$, there exists an ``incompressibility'' pressure $p_i=\\varepsilon/(a'-a)$ such that the ground state is an equidistant chain of particles with spacing $l_0=a'$ for $0<p<p_i$ and with spacing $l_0=a$ for $p>p_i$. If $ν>1$ (strict concavity), the ground state at $p=p_i$ is disordered with $l_0=\\left[ νa +(ν-1)a'\\right]/(2ν-1)$ and $g_0(x)$ being a superposition of weighted Dirac delta functions over discrete positions. If $ν=1$ (linear ramp), the ground state at $p=p_i$ is disordered with $l_0=(a+a')/2$ and the continuous $g_0(x)$ is a superposition of Heaviside step functions multiplied by polynomials in $x$. The isothermal susceptibility at $T=0$ is nonzero for concave $φ(x)$ ($ν\\ge 1$) at $p=p_i$ and, therefore, the corresponding disordered ground states are non-hyperuniform, i.e., they resemble disordered fluids at nonzero temperatures. It turns out that pair correlation functions of disordered ground states, which occur only at a single pressure $p_i$, extend their predictive power to thermodynamic states at nonzero temperatures over a wider range of pressures around $p_i$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Phys. A: Math. Theor. 59, 365001 (2026)",
  "arxiv": "2609.11394",
  "author_total": 2,
  "authors": [
    {
      "name": "Igor Travěnec"
    },
    {
      "name": "Ladislav Šamaj"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dbccz5nap7ph9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11394",
  "fulltext_url": null,
  "id": "dbccz5nap7ph9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11394",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.11394",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dbccz5nap7ph9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11394",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11394"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Disordered ground states in one-dimensional exactly solvable fluids",
  "title_text": "Disordered ground states in one-dimensional exactly solvable fluids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/dbccz5nap7ph9",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1751-8121/ae9e6f",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}