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Entropy, Information, and Symmetry; Ordered Is Symmetrical, II: System of Spins in the Magnetic Field

Department of Chemical Engineering, Ariel University, Ariel 407000, Israel
Entropy 2020, 22(2), 235; https://doi.org/10.3390/e22020235
Received: 19 January 2020 / Revised: 16 February 2020 / Accepted: 17 February 2020 / Published: 19 February 2020
(This article belongs to the Section Statistical Physics)
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 “chaos” or “disorder”. However, the notions of “chaos” and “disorder” 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 “ordering” 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 . 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. View Full-Text
Keywords: entropy; symmetry; ordering; elementary magnets; magnetic field; j-fold symmetry entropy; symmetry; ordering; elementary magnets; magnetic field; j-fold symmetry
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Bormashenko, E. Entropy, Information, and Symmetry; Ordered Is Symmetrical, II: System of Spins in the Magnetic Field. Entropy 2020, 22, 235.

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