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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
Citation:
S. V. Semkin, V. P. Smagin, “Free energy, entropy, and magnetization of a one-dimensional
Ising model of a diluted magnet”, TMF, 217:2 (2023), 430–437; Theoret. and Math. Phys., 217:2 (2023), 1788–1794
Linking options:
https://www.mathnet.ru/eng/tmf10555https://doi.org/10.4213/tmf10555 https://www.mathnet.ru/eng/tmf/v217/i2/p430
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Abstract page: | 192 | Full-text PDF : | 7 | Russian version HTML: | 30 | References: | 35 | First page: | 13 |
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