Colligative properties of solutions: I. Fixed concentrations

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dc.creatorAlexander, Kenneth
dc.creatorBiskup, Marek
dc.creatorChayes, Lincoln
dc.date2004-07-16
dc.date2005-01-09
dc.date.accessioned2026-07-07T06:18:06Z
dc.date.available2026-07-07T06:18:06Z
dc.descriptionUsing the formalism of rigorous statistical mechanics, we study the phenomena of phase separation and freezing-point depression upon freezing of solutions. Specifically, we devise an Ising-based model of a solvent-solute system and show that, in the ensemble with a fixed amount of solute, a macroscopic phase separation occurs in an interval of values of the chemical potential of the solvent. The boundaries of the phase separation domain in the phase diagram are characterized and shown to asymptotically agree with the formulas used in heuristic analyses of freezing point depression. The limit of infinitesimal concentrations is described in a subsequent paper.
dc.description28 pages, 1 fig; see also math-ph/0407035 (both to appear in JSP)
dc.identifierhttps://arxiv.org/abs/math-ph/0407034
dc.identifierhttp://arxiv.org/abs/math-ph/0407034
dc.identifierJ. Statist. Phys. 119 (2005), no. 3-4, 479-507
dc.identifierdoi:10.1007/s10955-005-3016-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94622
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.subjectChemical Physics
dc.subject82B05; 82B20; 60F10
dc.titleColligative properties of solutions: I. Fixed concentrations
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