Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Magnetic Entropic Forces Emerging in the System of Elementary Magnets Exposed to the Magnetic Field

Version 1 : Received: 3 February 2022 / Approved: 4 February 2022 / Online: 4 February 2022 (10:43:15 CET)

A peer-reviewed article of this Preprint also exists.

Bormashenko, E. Magnetic Entropic Forces Emerging in the System of Elementary Magnets Exposed to the Magnetic Field. Entropy 2022, 24, 299. Bormashenko, E. Magnetic Entropic Forces Emerging in the System of Elementary Magnets Exposed to the Magnetic Field. Entropy 2022, 24, 299.

Abstract

Temperature dependent entropic force acting between the straight direct current I and the linear system (string with length of L) of N elementary non-interacting magnets/spins μ is reported. The system of elementary magnets is supposed to be in the thermal equilibrium with the infinite thermal bath T. The entropic force at large distance from the current is given by Fmagnen=Nμ02μ2I24π2kBTr3 , where r is the distance between the edge of the string and the current I, and kB is the Boltzmann constant; (r≫L is adopted). The entropic magnetic force is the repulsion force. The entropic magnetic force scales as Fmagnen~1T , which is unusual for entropic forces. The effect of “entropic pressure” is predicted for the situation when the source of the magnetic field is embedded into the continuous media, comprising elementary magnets/spins.

Keywords

entropic force; magnetic field; linear system of elementary magnets; ordering; temperature; repulsion force.

Subject

Physical Sciences, Condensed Matter Physics

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