{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:23:04Z","timestamp":1772252584705,"version":"3.50.1"},"reference-count":14,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,2,19]],"date-time":"2020-02-19T00:00:00Z","timestamp":1582070400000},"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>The second part of this paper develops an approach suggested in Entropy 2020, 22(1), 11; which relates ordering in physical systems to symmetrizing. Entropy is frequently interpreted as a quantitative measure of \u201cchaos\u201d or \u201cdisorder\u201d. However, the notions of \u201cchaos\u201d and \u201cdisorder\u201d are vague and subjective, to a great extent. This leads to numerous misinterpretations of entropy. We propose that the disorder is viewed as an absence of symmetry and identify \u201cordering\u201d with symmetrizing of a physical system; in other words, introducing the elements of symmetry into an initially disordered physical system. We explore the initially disordered system of elementary magnets exerted to the external magnetic field     H \u2192    . Imposing symmetry restrictions diminishes the entropy of the system and decreases its temperature. The general case of the system of elementary magnets demonstrating j-fold symmetry is studied. The      T j  =  T j      interrelation takes place, where T and      T j      are the temperatures of non-symmetrized and j-fold-symmetrized systems of the magnets, correspondingly.<\/jats:p>","DOI":"10.3390\/e22020235","type":"journal-article","created":{"date-parts":[[2020,2,21]],"date-time":"2020-02-21T08:59:47Z","timestamp":1582275587000},"page":"235","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Entropy, Information, and Symmetry; Ordered Is Symmetrical, II: System of Spins in the Magnetic Field"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1356-2486","authenticated-orcid":false,"given":"Edward","family":"Bormashenko","sequence":"first","affiliation":[{"name":"Department of Chemical Engineering, Ariel University, Ariel 407000, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,2,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4863","DOI":"10.3390\/e17074863","article-title":"Entropy, information and complexity or which aims the arrow of time?","volume":"17","author":"Mikhailovsky","year":"2015","journal-title":"Entropy"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Mikhailovsky, G. (2018). From Identity to uniqueness: The Emergence of increasingly higher levels of hierarchy in the process of the matter evolution. Entropy, 20.","DOI":"10.3390\/e20070533"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1016\/j.progpolymsci.2013.08.006","article-title":"Towards hierarchically ordered functional porous polymeric surfaces prepared by the breath figures approach","volume":"39","year":"2014","journal-title":"Prog. Polym. Sci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1550030","DOI":"10.1142\/S0218127415500303","article-title":"Actin automata: Phenomenology and localizations","volume":"25","author":"Adamatzky","year":"2015","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1250085","DOI":"10.1142\/S0129183112500854","article-title":"On diversity of configurations generated by excitable cellular automata with dynamical excitation interval","volume":"23","author":"Adamatzky","year":"2012","journal-title":"Int. J. Mod. Phys. C"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.3390\/e12061345","article-title":"Entropy in tribology: In the search for applications","volume":"12","author":"Nosonovsky","year":"2010","journal-title":"Entropy"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1088\/0143-0807\/6\/2\/009","article-title":"Entropy, a resurrection of caloric-a look at the history of thermodynamics","volume":"6","author":"Falk","year":"1985","journal-title":"Eur. J. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1186\/1936-6434-6-30","article-title":"Removing the entropy from the definition of entropy: Clarifying the relationship between evolution, entropy, and the second law of thermodynamics","volume":"6","author":"Martin","year":"2013","journal-title":"Evol. Educ. Outreach"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Gaudenzi, R. (2019). Entropy? Exercices de Style. Entropy, 21.","DOI":"10.3390\/e21080742"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1080\/00107517008202196","article-title":"Entropy and disorder","volume":"11","author":"Wright","year":"1970","journal-title":"Contemp. Phys."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Bormashenko, E.D. (2020). Entropy, information, and symmetry: Ordered is symmetrical. Entropy, 22.","DOI":"10.3390\/e22020235"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Baierlein, R. (1999). Thermal Physics, Cambridge University Press.","DOI":"10.1017\/CBO9780511840227"},{"key":"ref_13","unstructured":"Landau, L.D., and Lifshitz, E.M. (2011). Statistical Physics, Course of Theoretical Physics; Elsevier. [3rd ed.]."},{"key":"ref_14","unstructured":"Kittel, C.H. (1969). Thermal Physics, John and Wiley & Sons."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/2\/235\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:59:14Z","timestamp":1760173154000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/2\/235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,19]]},"references-count":14,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,2]]}},"alternative-id":["e22020235"],"URL":"https:\/\/doi.org\/10.3390\/e22020235","relation":{"has-preprint":[{"id-type":"doi","id":"10.20944\/preprints202001.0215.v1","asserted-by":"object"}]},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,19]]}}}