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On "phase"-equilibria in molecules
entropy/information principles
information theory
horizontal variational rules
molecular equilibria
quantum information descriptors
phase equilibria
vertical variational principles
Information theory (IT) is applied to explore electronic phase-equilibria in molecules. The modulus and phase parts of electronic states, giving rise to the particle probability and current densities, respectively, delineate two basic degrees-of-freedom in the generalized (quantum) IT treatment of molecular states. The classical and non-classical contributions to the resultant information content are accounted for in the complementary Shannon and Fisher measures. These quantum descriptors are then applied in the “vertical” information principles, which determine the density-constrained molecular equilibria. A close parallelism between the vertical maximum-entropy and minimum-energy principles of quantum mechanics and their thermodynamic analogs is emphasized. The relation between the probability and phase distributions in the “horizontal” (probability-unconstrained) equilibria is examined and solutions of the (energy-unconstrained) orbital variational rules for the extremum entropy/information are shown to involve the spatial phase related to electron density. Selected properties of such molecular equilibrium states are explored.
cris.lastimport.wos | 2024-04-09T22:39:41Z | |
dc.abstract.en | Information theory (IT) is applied to explore electronic phase-equilibria in molecules. The modulus and phase parts of electronic states, giving rise to the particle probability and current densities, respectively, delineate two basic degrees-of-freedom in the generalized (quantum) IT treatment of molecular states. The classical and non-classical contributions to the resultant information content are accounted for in the complementary Shannon and Fisher measures. These quantum descriptors are then applied in the “vertical” information principles, which determine the density-constrained molecular equilibria. A close parallelism between the vertical maximum-entropy and minimum-energy principles of quantum mechanics and their thermodynamic analogs is emphasized. The relation between the probability and phase distributions in the “horizontal” (probability-unconstrained) equilibria is examined and solutions of the (energy-unconstrained) orbital variational rules for the extremum entropy/information are shown to involve the spatial phase related to electron density. Selected properties of such molecular equilibrium states are explored. | pl |
dc.affiliation | Wydział Chemii : Zakład Chemii Teoretycznej im. K. Gumińskiego | pl |
dc.contributor.author | Nalewajski, Roman - 130874 | pl |
dc.date.accession | 2019-02-14 | pl |
dc.date.accessioned | 2015-05-22T12:45:23Z | |
dc.date.available | 2015-05-22T12:45:23Z | |
dc.date.issued | 2014 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 2 | pl |
dc.description.physical | 588-612 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 52 | pl |
dc.identifier.doi | 10.1007/s10910-013-0280-2 | pl |
dc.identifier.eissn | 1572-8897 | pl |
dc.identifier.issn | 0259-9791 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/7829 | |
dc.identifier.weblink | https://link.springer.com/content/pdf/10.1007%2Fs10910-013-0280-2.pdf | pl |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subject.en | entropy/information principles | pl |
dc.subject.en | information theory | pl |
dc.subject.en | horizontal variational rules | pl |
dc.subject.en | molecular equilibria | pl |
dc.subject.en | quantum information descriptors | pl |
dc.subject.en | phase equilibria | pl |
dc.subject.en | vertical variational principles | pl |
dc.subtype | Article | pl |
dc.title | On "phase"-equilibria in molecules | pl |
dc.title.journal | Journal of Mathematical Chemistry | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence