Entropy, Vol. 22, Pages 235: Entropy, Information, and Symmetry; Ordered is Symmetrical, II: System of Spins in the Magnetic Field (Entropy)

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 Tj=Tj interrelation takes place, where T and Tj are the temperatures of non-symmetrized and j-fold-symmetrized systems of the magnets, correspondingly.