{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:37:59Z","timestamp":1760243879815,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2010,1,26]],"date-time":"2010-01-26T00:00:00Z","timestamp":1264464000000},"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 investigate the classical limit of the semiclassical evolution with reference to a well-known model that represents the interaction between matter and a given field. This is done by recourse to a special statistical quantifier called the \u201csymbolic transfer entropy\u201d. We encounter that the quantum-classical transition gets thereby described as the sign-reversal of the dominating direction of the information flow between classical and quantal variables.<\/jats:p>","DOI":"10.3390\/e12010148","type":"journal-article","created":{"date-parts":[[2010,1,26]],"date-time":"2010-01-26T09:15:31Z","timestamp":1264497331000},"page":"148-160","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["The Quantum-Classical Transition as an Information Flow"],"prefix":"10.3390","volume":"12","author":[{"given":"Andres M.","family":"Kowalski","sequence":"first","affiliation":[{"name":"Comisi\u00f3n de Investigaciones Cient\u00edficas (CIC), Argentina"},{"name":"Instituto de F\u00edsica (IFLP-CCT-Conicet), Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria T.","family":"Martin","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica (IFLP-CCT-Conicet), Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina"},{"name":"Argentina\u2019s National Research Council (CONICET), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luciano","family":"Zunino","sequence":"additional","affiliation":[{"name":"Argentina\u2019s National Research Council (CONICET), Argentina"},{"name":"Centro de Investigaciones \u00d3pticas (CONICET La Plata - CIC), C.C. 3, 1897 Gonnet, Argentina"},{"name":"Departamento de Ciencias B\u00e1sicas, Facultad de Ingenier\u00eda, Universidad Nacional de La Plata (UNLP), 1900 La Plata, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Angelo","family":"Plastino","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica (IFLP-CCT-Conicet), Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina"},{"name":"Argentina\u2019s National Research Council (CONICET), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Montserrat","family":"Casas","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2010,1,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Pikovsky, A., Rosenblum, M., and Kurths, J. 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The former parameter plays an important role for the evaluation of the appropriate probability distribution, since D determines the number of accessible states, D!, and tells us about the necessary length N of the time series needed in order to work with a reliable statistics. In particular, Bandt and Pompe [38] suggest for practical purposes to work with 3 \u2264 D \u2264 7. Concerning this last point in all calculations reported here the condition N \u226b D! is satisfied [40]."},{"key":"ref_43","unstructured":"A flow of information takes place in both directions. However, the two flows do not have the same strength, i.e., more information is transferred from the classical to the quantal variables than vice versa. In this sense, we can assert that one variable is influencing the behavior of the other."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/12\/1\/148\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:01:19Z","timestamp":1760220079000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/12\/1\/148"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,26]]},"references-count":43,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1]]}},"alternative-id":["e12010148"],"URL":"https:\/\/doi.org\/10.3390\/e12010148","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2010,1,26]]}}}