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Hypotheses in phase transition theories: “What is ‘liquid’?”

dc.contributor.authorMaguire, John F.
dc.contributor.authorWoodcock, Leslie
dc.date.accessioned2023-06-26T13:40:34Z
dc.date.available2023-06-26T13:40:34Z
dc.date.issued2023
dc.description.abstractTheories predicting thermodynamic properties that describe liquid phase transitions and critical phenomena have resulted in the award of three Nobel prizes in physics: (i) “Continuity of Gaseous and Liquid States” hypothesis of van der Waals [1910], (ii) “Critical Point Universality” hypothesis embodied in the renormalization group (RG) theory of Wilson [1982], and (iii) “Topological Defect Melting” hypothesis that 2D-crystal-liquid states exhibit ‘hexatic’ phases in KTHNY theory [Kosterlitz et al. 2016]. All three hypotheses are invalidated by the reality of experimental results and raise a fundamental question first posed by Barker and Henderson in 1976: “What is liquid”. A single Gibbs phase, that includes triple-point (Tt) liquid, extends over the whole fluid density range to temperatures above the Boyle temperature (TB). Below TB, above the critical temperature Tc, predominantly gas- and liquid-like states are bounded by a narrow colloidal ‘supercritical mesophase’ with constant rigidity (ω = (dp/dρ)T). The liquid phase also becomes colloidal at the onset of pre-freezing growth and percolation of crystallites in a narrow density range below freezing density for all T > Tt. Whereas the Boyle line (RT = p/ρ) defines a crystalline ground state, a rigidity line, RT = ω, interpolates to an amorphous ground-state akin to random close packing (RCP) at T = 0. All states of gas, liquid, and crystals, are present in the stable ‘liquid phase’ and, are represented in thermodynamic p-T states all along the rigidity line. For 2D liquid–crystal coexistence in constrained computer models, the KTHNY theory describes a non-equilibrium fracture process. Hetero-phase fluctuations, leading to percolation transitions, have been misconstrued as “hexatic” in 2D, as also have 2-phase coexistence states, that are homogeneous in the absence of gravity.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.molliq.2023.121199pt_PT
dc.identifier.issn0167-7322
dc.identifier.urihttp://hdl.handle.net/10400.1/19755
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.subjectLiquid phasept_PT
dc.subjectvan der Waalspt_PT
dc.subjectCritical pointpt_PT
dc.subjectContinuity hypothesispt_PT
dc.subjectUniversality hypothesispt_PT
dc.subjectKTHNY-hypothesispt_PT
dc.subjectBoyle linept_PT
dc.subjectRigidity linept_PT
dc.titleHypotheses in phase transition theories: “What is ‘liquid’?”pt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.startPage121199pt_PT
oaire.citation.titleJournal of Molecular Liquidspt_PT
oaire.citation.volume373pt_PT
person.familyNameWoodcock
person.givenNameLeslie
person.identifier.orcid0000-0003-2350-559X
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb550a18f-b4d3-4d68-8b8d-84f3373024aa
relation.isAuthorOfPublication.latestForDiscoveryb550a18f-b4d3-4d68-8b8d-84f3373024aa

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