This article is cited in 2 papers

Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet

S. V. Semkin, V. P. Smagin

Vladivostok State University, Vladivostok, Russia

Abstract: We consider a one-dimensional Ising model (chain) with the the nearest-neighbor interaction and with a random nonmagnetic dilution. We find the exact free energy of such a chain as a function of the impurity concentration, temperature, and the external magnetic field. In the case of antiferromagnetic interaction in the chain, we find the specific magnetization, the mean value of the product of neighboring spins, and the entropy as functions of these parameters. We study the residual system entropy.

Keywords: Ising model, diluted antiferromagnetic, magnetic frustration.

Received: 29.05.2023
Revised: 28.07.2023

DOI: 10.4213/tmf10555

 English version: Theoretical and Mathematical Physics, 2023, 217:2, 1788–1794

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