{"paper":{"title":"Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A logarithmic-grid spectral solver extends hypernetted-chain calculations to ionic mixtures with size and charge ratios exceeding one thousand.","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Elshad Allahyarov, Hartmut L\\\"owen, Marco Heinen","submitted_at":"2013-07-16T08:56:12Z","abstract_excerpt":"The pair-correlation functions for fluid ionic mixtures in arbitrary spatial dimensions are computed in hypernetted chain (HNC) approximation. In the primitive model, all ions are approximated as non-overlapping hyperspheres with Coulomb interactions. Our spectral HNC solver is based on a Fourier-Bessel transform introduced by Talman [J. Comput. Phys., 29, 35 (1978)], with logarithmically spaced computational grids. Numeric efficiency for arbitrary spatial dimensions is a commonly exploited virtue of this transform method. Here, we highlight another advantage of logarithmic grids, consisting i"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For three-dimensional fluids, ion size- and charge-ratios larger than one thousand can be treated, corresponding to hitherto computationally not accessed micrometer-sized colloidal spheres in 1-1 electrolyte.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The hypernetted-chain closure remains sufficiently accurate for the extreme asymmetries that the new solver can now reach; the abstract provides only moderate-asymmetry MD comparisons.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"HNC approximation with logarithmic-grid Fourier-Bessel transforms yields pair correlations for primitive-model electrolytes at ion size- and charge-asymmetries larger than 1000 in any spatial dimension.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A logarithmic-grid spectral solver extends hypernetted-chain calculations to ionic mixtures with size and charge ratios exceeding one thousand.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c3ff267f95040ca343f59599bc058cbb9e4abde74da0526abb9f31515225c826"},"source":{"id":"1307.4200","kind":"arxiv","version":1},"verdict":{"id":"eba1f7ca-1734-483b-a895-c05b0feec6d7","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T20:29:21.993736Z","strongest_claim":"For three-dimensional fluids, ion size- and charge-ratios larger than one thousand can be treated, corresponding to hitherto computationally not accessed micrometer-sized colloidal spheres in 1-1 electrolyte.","one_line_summary":"HNC approximation with logarithmic-grid Fourier-Bessel transforms yields pair correlations for primitive-model electrolytes at ion size- and charge-asymmetries larger than 1000 in any spatial dimension.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The hypernetted-chain closure remains sufficiently accurate for the extreme asymmetries that the new solver can now reach; the abstract provides only moderate-asymmetry MD comparisons.","pith_extraction_headline":"A logarithmic-grid spectral solver extends hypernetted-chain calculations to ionic mixtures with size and charge ratios exceeding one thousand."},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"11b17dd95cc91a4534aba4b60ff8339d508046916f731ef5b38a83b8854b0bba"},"author_claims":{"count":1,"strong_count":1,"snapshot_sha256":"5e3b23b793a24ad44d50f012bed3c12f7c9e9c566d826ad85b79440943422c6c"},"builder_version":"pith-number-builder-2026-05-17-v1"}