000877639 001__ 877639 000877639 005__ 20220930130243.0 000877639 0247_ $$2doi$$a10.1007/s00396-020-04674-9 000877639 0247_ $$2ISSN$$a0023-2904 000877639 0247_ $$2ISSN$$a0303-402X 000877639 0247_ $$2ISSN$$a0368-6590 000877639 0247_ $$2ISSN$$a0372-820X 000877639 0247_ $$2ISSN$$a1435-1536 000877639 0247_ $$2Handle$$a2128/25470 000877639 0247_ $$2WOS$$aWOS:000541320000001 000877639 037__ $$aFZJ-2020-02354 000877639 041__ $$aEnglish 000877639 082__ $$a540 000877639 1001_ $$0P:(DE-Juel1)130646$$aFrielinghaus, Henrich$$b0$$eCorresponding author 000877639 245__ $$aOn the glass transition and correlation functions 000877639 260__ $$aHeidelberg$$bSpringer$$c2020 000877639 3367_ $$2DRIVER$$aarticle 000877639 3367_ $$2DataCite$$aOutput Types/Journal article 000877639 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1617218370_1361 000877639 3367_ $$2BibTeX$$aARTICLE 000877639 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000877639 3367_ $$00$$2EndNote$$aJournal Article 000877639 520__ $$aCorrelation functions are the basis for the understanding of many thermodynamic systems that can be directly observed by scattering experiments. In this manuscript, the correlation functions include the steric repulsion of atoms that also leads to distinct shells of neighbors. A free energy is derived on the basis of these assumptions, and in the following the temperature dependence of the density (or specific volume), the typical time scale of the α-relaxation, and the heat capacity. From this, I argue that the glass transition is dominated by the vicinity of a first-order phase transition. While the correlation length stays rather constant in the vicinity of the glass transition, the intensity of the fluctuations is considerably increasing. The scattering amplitude is connected to the cluster size, also introduced in the cooperativity argument. Additionally, correlations of loops are discussed. The additional correlations describe rather small structures. Applying this to scattering intensities, a correlation peak was described that may be connected to the “Boson Peak” or a “cooperativity length.” The new concept of correlation functions on sterically repulsive atoms may find more attention in the wider field of physics. 000877639 536__ $$0G:(DE-HGF)POF3-6G4$$a6G4 - Jülich Centre for Neutron Research (JCNS) (POF3-623)$$cPOF3-623$$fPOF III$$x0 000877639 536__ $$0G:(DE-HGF)POF3-6G15$$a6G15 - FRM II / MLZ (POF3-6G15)$$cPOF3-6G15$$fPOF III$$x1 000877639 588__ $$aDataset connected to CrossRef 000877639 65027 $$0V:(DE-MLZ)SciArea-210$$2V:(DE-HGF)$$aSoft Condensed Matter$$x0 000877639 65017 $$0V:(DE-MLZ)GC-1602-2016$$2V:(DE-HGF)$$aPolymers, Soft Nano Particles and Proteins$$x0 000877639 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000877639 773__ $$0PERI:(DE-600)1462029-7$$a10.1007/s00396-020-04674-9$$p1159–1168$$tColloid & polymer science$$v298$$x1435-1536$$y2020 000877639 8564_ $$uhttps://juser.fz-juelich.de/record/877639/files/Frielinghaus2020_Article_OnTheGlassTransitionAndCorrela.pdf$$yOpenAccess 000877639 8564_ $$uhttps://juser.fz-juelich.de/record/877639/files/Frielinghaus2020_Article_OnTheGlassTransitionAndCorrela.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000877639 8767_ $$d2020-05-15$$eHybrid-OA$$jDEAL$$lDEAL: Springer$$pCPS-2020-0135.R1$$zapproved im dashboard 000877639 909CO $$ooai:juser.fz-juelich.de:877639$$pVDB$$pVDB:MLZ$$pdriver$$pOpenAPC_DEAL$$popen_access$$popenaire$$popenCost$$pdnbdelivery 000877639 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130646$$aForschungszentrum Jülich$$b0$$kFZJ 000877639 9131_ $$0G:(DE-HGF)POF3-623$$1G:(DE-HGF)POF3-620$$2G:(DE-HGF)POF3-600$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$9G:(DE-HGF)POF3-6G4$$aDE-HGF$$bForschungsbereich Materie$$lVon Materie zu Materialien und Leben$$vFacility topic: Neutrons for Research on Condensed Matter$$x0 000877639 9131_ $$0G:(DE-HGF)POF3-6G15$$1G:(DE-HGF)POF3-6G0$$2G:(DE-HGF)POF3-600$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bForschungsbereich Materie$$lGroßgeräte: Materie$$vFRM II / MLZ$$x1 000877639 9132_ $$0G:(DE-HGF)POF4-899$$1G:(DE-HGF)POF4-890$$2G:(DE-HGF)POF4-800$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bProgrammungebundene Forschung$$lohne Programm$$vohne Topic$$x0 000877639 9141_ $$y2020 000877639 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2020-01-09 000877639 915__ $$0LIC:(DE-HGF)CCBY4$$2HGFVOC$$aCreative Commons Attribution CC BY 4.0 000877639 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bCOLLOID POLYM SCI : 2018$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)3002$$2StatID$$aDEAL Springer$$d2020-01-09$$wger 000877639 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000877639 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline$$d2020-01-09 000877639 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz$$d2020-01-09$$wger 000877639 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List$$d2020-01-09 000877639 920__ $$lyes 000877639 9201_ $$0I:(DE-Juel1)JCNS-FRM-II-20110218$$kJCNS-FRM-II$$lJCNS-FRM-II$$x0 000877639 9201_ $$0I:(DE-Juel1)JCNS-1-20110106$$kJCNS-1$$lNeutronenstreuung$$x1 000877639 9201_ $$0I:(DE-588b)4597118-3$$kMLZ$$lHeinz Maier-Leibnitz Zentrum$$x2 000877639 980__ $$ajournal 000877639 980__ $$aVDB 000877639 980__ $$aI:(DE-Juel1)JCNS-FRM-II-20110218 000877639 980__ $$aI:(DE-Juel1)JCNS-1-20110106 000877639 980__ $$aI:(DE-588b)4597118-3 000877639 980__ $$aAPC 000877639 980__ $$aUNRESTRICTED 000877639 9801_ $$aAPC 000877639 9801_ $$aFullTexts