{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T20:10:27Z","timestamp":1783109427637,"version":"3.54.6"},"reference-count":48,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"MHI Inc.","award":["MHI 2108 MEPR"],"award-info":[{"award-number":["MHI 2108 MEPR"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The use of the principle of maximum entropy generation per unit volume is a new approach in materials science that has implications for understanding the morphological evolution during solid\u2013liquid interface growth, including bifurcations with or without diffuseness. A review based on a pre-publication arXiv preprint is first presented. A detailed comparison with experimental observations indicates that the Maximum Entropy Production Rate-density model (MEPR) can correctly predict bifurcations for dilute alloys during solidification. The model predicts a critical diffuseness of the interface at which a plane-front or any other form of diffuse interface will become unstable. A further confidence test for the model is offered in this article by comparing the predicted liquid diffusion coefficients to those obtained experimentally. A comparison of the experimentally determined solute diffusion constant in dilute binary Pb\u2013Sn alloys with those predicted by the various solidification instability models (1953\u20132011) is additionally discussed. A good predictability is noted for the MEPR model when the interface diffuseness is small. In comparison, the more traditional interface break-down models have low predictiveness.<\/jats:p>","DOI":"10.3390\/e22010040","type":"journal-article","created":{"date-parts":[[2019,12,27]],"date-time":"2019-12-27T05:37:08Z","timestamp":1577425028000},"page":"40","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0905-9212","authenticated-orcid":false,"given":"Yaw","family":"Delali Bensah","sequence":"first","affiliation":[{"name":"Department of Materials Science and Engineering, University of Ghana, Legon, Accra P.O. Box LG 77, Ghana"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. A.","family":"Sekhar","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, OH 45221, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"ref_1","unstructured":"Bensah, Y.D., and Sekhar, J.A. (2016). Interfacial instability of a planar Interface and diffuseness at the solid-liquid interface for pure and binary materials. arXiv."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"6172","DOI":"10.1007\/s10853-011-5688-0","article-title":"The description of morphologically stable regimes for steady state solidification based on the maximum entropy production rate postulate","volume":"46","author":"Sekhar","year":"2011","journal-title":"J. Mater. 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