{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:40:38Z","timestamp":1760244038621,"version":"build-2065373602"},"reference-count":12,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2008,6,24]],"date-time":"2008-06-24T00:00:00Z","timestamp":1214265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We show that, to generate the statistical operator appropriate for a given system, and as an alternative to Jaynes\u2019 MaxEnt approach, that refers to the entropy S, one can use instead the increments \u00b1S in S. To such an effect, one uses the macroscopic thermodynamic relation that links \u00b1S to changes in i) the internal energy E and ii) the remaining M relevant extensive quantities Ai, i = 1; : : : ;M; that characterize the context one is working with.<\/jats:p>","DOI":"10.3390\/entropy-e10020124","type":"journal-article","created":{"date-parts":[[2008,6,24]],"date-time":"2008-06-24T11:55:54Z","timestamp":1214308554000},"page":"124-130","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Incremental Entropy Relation as an Alternative to MaxEnt"],"prefix":"10.3390","volume":"10","author":[{"given":"Angelo","family":"Plastino","sequence":"first","affiliation":[{"name":"Exact Sciences Faculty, National University La Plata (UNLP), IFLP-CCT-CONICET, Argentina"}]},{"given":"Angel R.","family":"Plastino","sequence":"additional","affiliation":[{"name":"CREG-UNLP and Conicet, Argentina; Department of Physics, University of Pretoria, South Africa; Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, Spain"}]},{"given":"Evaldo M. F.","family":"Curado","sequence":"additional","affiliation":[{"name":"CBPF, Rio de Janeiro, Brazil"}]},{"given":"Montse","family":"Casas","sequence":"additional","affiliation":[{"name":"Departament de Fisica and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2008,6,24]]},"reference":[{"key":"ref_1","unstructured":"Rosenkrantz, R.D. (1987). Papers on probability, statistics and statistical physics, Reidel."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Grandy, W.T., and Milonni, P.W. (1993). Physics and Probability. Essays in Honor of Edwin T. Jaynes, Cambridge University Press.","DOI":"10.1017\/CBO9780511524448"},{"key":"ref_3","unstructured":"Desloge, E.A. (1968). Thermal physics, Holt, Rhinehart and Winston."},{"key":"ref_4","unstructured":"The MaxEnt treatment assumes that these macrocopic parameters are the expectation values of appropiate operators."},{"key":"ref_5","unstructured":"Lindley, D. (2001). Boltzmann\u2019s atom, The Free Press."},{"key":"ref_6","unstructured":"Katz, A. (1967). Principles of Statistical Mechanics. The information Theory Approach, Freeman and Co."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell System Technol. J."},{"key":"ref_8","unstructured":"Cover, T.M., and Thomas, J.A. (1991). Elements of information theory, J. Wiley Sons."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Gell-Mann, M., and Tsallis, C. (2004). Nonextensive Entropy: Interdisciplinary applications, Oxford University Press.","DOI":"10.1093\/oso\/9780195159769.001.0001"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ferri, G.L., Martinez, S., and Plastino, A. (2005). Equivalence of the four versions of Tsallis\u2019s statistics. Journal of Statistical Mechanics.","DOI":"10.1088\/1742-5468\/2005\/04\/P04009"},{"key":"ref_11","first-page":"047103:1","article-title":"Equivalence between maximum entropy principle and enforcing dU=TdS","volume":"72","author":"Curado","year":"2005","journal-title":"Phys. Rev. E"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.physa.2006.01.022","article-title":"Generating statistical distributions without maximizing the entropy","volume":"365","author":"Curado","year":"2006","journal-title":"Physica A"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/10\/2\/124\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:20:50Z","timestamp":1760221250000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/10\/2\/124"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6,24]]},"references-count":12,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2008,6]]}},"alternative-id":["e10020124"],"URL":"https:\/\/doi.org\/10.3390\/entropy-e10020124","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2008,6,24]]}}}