{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T01:00:24Z","timestamp":1778806824467,"version":"3.51.4"},"reference-count":20,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,7,26]],"date-time":"2023-07-26T00:00:00Z","timestamp":1690329600000},"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>We propose to re-express Nernst law in terms of a suitable information measure (IM) parameter. This is achieved by dwelling on the idea of adapting the notion of purity in the case of a thermal Gibbs environment, yielding what we might call the \u201cpurity\u201d indicator (which we denote by the symbol D in the text). We find it interesting to define an extension of this D\u2212IM indicator in a classical context. This generalization turns out to have useful conceptual consequences when used in conjunction with the classical Shannon entropy S. Implications for the Nernst law are discussed.<\/jats:p>","DOI":"10.3390\/e25081113","type":"journal-article","created":{"date-parts":[[2023,7,27]],"date-time":"2023-07-27T01:27:46Z","timestamp":1690421266000},"page":"1113","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Quantum Purity as an Information Measure and Nernst Law"],"prefix":"10.3390","volume":"25","author":[{"given":"F.","family":"Pennini","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidad Cat\u00f3lica del Norte, Av. Angamos 0610, Antofagasta 1270709, Chile"},{"name":"Departamento de F\u00edsica, Facultad de Ingenier\u00eda, Universidad Nacional de Mar del Plata (UNMDP), CONICET, Mar del Plata 10850, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5934-2783","authenticated-orcid":false,"given":"A.","family":"Plastino","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica La Plata\u2014CCT-CONICET, Universidad Nacional de La Plata, C.C. 727, La Plata 1900, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1927","DOI":"10.1016\/j.physleta.2010.02.040","article-title":"Thermal effects in quantum phase-space distributions","volume":"374","author":"Pennini","year":"2010","journal-title":"Phys. Lett. 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