TY - JOUR AU - Frielinghaus, Henrich TI - On the glass transition and correlation functions JO - Colloid & polymer science VL - 298 SN - 1435-1536 CY - Heidelberg PB - Springer M1 - FZJ-2020-02354 SP - 1159–1168 PY - 2020 AB - Correlation 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. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000541320000001 DO - DOI:10.1007/s00396-020-04674-9 UR - https://juser.fz-juelich.de/record/877639 ER -