Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 19 January 2020 / Approved: 19 January 2020 / Online: 19 January 2020 (14:21:50 CET)

A peer-reviewed article of this Preprint also exists.

Bormashenko, E. Entropy, Information, and Symmetry; Ordered is Symmetrical, II: System of Spins in the Magnetic Field. Entropy 2020, 22, 235. Bormashenko, E. Entropy, Information, and Symmetry; Ordered is Symmetrical, II: System of Spins in the Magnetic Field. Entropy 2020, 22, 235.

Journal reference: Entropy 2020, 22, 235
DOI: 10.3390/e22020235

Abstract

Abstract: The second part of the paper develops the approach, suggested in the Entropy 2020, 22(1), 11; https://doi.org/10.3390/e22010011 , which relates ordering in physical systems to their 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 much extent. This leads to numerous misinterpretations of entropy. We propose to see the disorder as an absence of symmetry and to 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 the j-fold symmetry is treated. The interrelation T_j=T/j takes place, where T and T_j are the temperatures of non-symmetrized and j-fold-symmetrized systems of the magnets correspondingly.

Subject Areas

entropy; symmetry; ordering; elementary magnets; magnetic field; j-fold symmetry

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