{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T11:43:03Z","timestamp":1773920583197,"version":"3.50.1"},"reference-count":85,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T00:00:00Z","timestamp":1698278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In the theoretical treatment of crystallization, it is commonly assumed that the relaxation processes of a liquid proceed quickly as compared to crystal nucleation and growth processes. Actually, it is supposed that a liquid is always located in the metastable state corresponding to the current values of pressure and temperature. However, near and below the glass transition temperature, Tg, this condition is commonly not fulfilled. In such cases, in the treatment of crystallization, deviations in the state of the liquid from the respective metastable equilibrium state have to be accounted for when determining the kinetic coefficients governing the crystallization kinetics, the thermodynamic driving force of crystallization, and the surface tension of the aggregates of the newly evolving crystal phase including the surface tension of critical clusters considerably affecting the crystal nucleation rate. These factors may greatly influence the course of the overall crystallization process. A theoretical analysis of the resulting effects is given in the present paper by numerical solutions of the J(ohnson)\u2013M(ehl)\u2013A(vrami)\u2013K(olmogorov) equation employed as the tool to model the overall crystallization kinetics and by analytical estimates of the crystallization peak temperatures in terms of the dependence on cooling and heating rates. The results are shown to be in good agreement with the experimental data. Possible extensions of the theory are anticipated and will be explored in future analysis.<\/jats:p>","DOI":"10.3390\/e25111485","type":"journal-article","created":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T03:33:51Z","timestamp":1698377631000},"page":"1485","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Effects of Structural Relaxation of Glass-Forming Melts on the Overall Crystallization Kinetics in Cooling and Heating"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5414-6860","authenticated-orcid":false,"given":"J\u00fcrn W. P.","family":"Schmelzer","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Physik, Universit\u00e4t Rostock, Albert-Einstein-Strasse 23-25, 18059 Rostock, Germany"},{"name":"Competence Centre CALOR, Faculty of Interdisciplinary Research, University of Rostock, Albert-Einstein-Str. 25, 18051 Rostock, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3605-1937","authenticated-orcid":false,"given":"Timur V.","family":"Tropin","sequence":"additional","affiliation":[{"name":"BCMaterials, Basque Center for Materials, Applications and Nanostructures, UPV\/EHU Science Park, 48940 Leioa, Spain"},{"name":"Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, ul. Joliot-Curie 6, 141980 Dubna, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6736-5491","authenticated-orcid":false,"given":"Christoph","family":"Schick","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Physik, Universit\u00e4t Rostock, Albert-Einstein-Strasse 23-25, 18059 Rostock, Germany"},{"name":"Competence Centre CALOR, Faculty of Interdisciplinary Research, University of Rostock, Albert-Einstein-Str. 25, 18051 Rostock, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0022-3093(83)90069-8","article-title":"Applications of thermoanalytical techniques to the study of crystallization kinetics in glass-forming liquids, Part 1: Theory","volume":"54","author":"Yinnon","year":"1983","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Schick, C., and Mathot, V. (2016). 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