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1、JournalofPhysicsA:MathematicalandTheoreticalLETTER•OPENACCESSUniversalityoftheweakpushed-to-pulledtransitioninsystemswithrepulsiveinteractionsTocitethisarticle:FabioDeelanCundenetal2018J.Phys.A:Math.Theor.5135LT01Viewthearticleonlineforupdatesandenhancements.Thiscontentwasdownloadedf
2、romIPaddress117.165.42.169on20/08/2018at15:45IOPJournalofPhysicsA:MathematicalandTheoreticalJ.Phys.A:Math.Theor.JournalofPhysicsA:MathematicalandTheoreticalJ.Phys.A:Math.Theor.51(2018)35LT01(11pp)https://doi.org/10.1088/1751-8121/aad14751Letter2018Universalityoftheweakpushed-to-pulle
3、d©2018IOPPublishingLtdtransitioninsystemswithrepulsiveJPHAC5interactions35LT01Fabio DeelanCunden1,6,Paolo Facchi2,3,Marilena Ligabò4andPierpaolo Vivo5FDCundenetal1SchoolofMathematicsandStatistics,UniversityCollegeDublin,Belfield,Dublin4,IrelandUniversalityoftheweakpushed-to-pulledtra
4、nsition2DipartimentodiFisicaandMECENAS,UniversitàdiBari,I-70126Bari,Italy3IstitutoNazionalediFisicaNucleare(INFN),SezionediBari,I-70126Bari,Italy4DipartimentodiMatematica,UniversitàdiBari,I-70125Bari,ItalyPrintedintheUK5DepartmentofMathematics,King’sCollegeLondon,Strand,LondonWC2R2LS
5、,UnitedKingdomJPAE-mail:fabio.cunden@ucd.ie10.1088/1751-8121/aad147Received29May2018Acceptedforpublication5July2018Published20July2018AbstractWeconsiderad-dimensionalgasincanonicalequilibriumunderpairwise1751-8121screenedCoulombrepulsionandexternalconfinement,andsubjecttoavolumeconst
6、raint(hardwalls).Weshowthatitsexcessfreeenergydisplaysathird-ordersingularityseparatingthepushedandpulledphases,irrespectiveofrangeofthepairwiseinteraction,dimensionanddetailsoftheconfiningpotential.TheexplicitexpressionoftheexcessfreeenergyisuniversalandinterpolatesbetweentheCoulomb
7、(long-range)andthedelta(zero-range)interaction.Theorderparameterofthetransition—theelectrostaticpressuregeneratedbythesurfaceexcesscharge—isdeterminedbyinvokingafundamentalenergyconservationargument.Keywords:classicalphasetransitions,randommatrices,potentialtheory,largedeviationtheor
8、y(Somefigure
