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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2025 Volume 25, Number 1, Pages 90–101 (Mi dvmg561)

Fluctuations of magnetic moments on the Apamea lattice

V. S. Stronginab, V. O. Trukhinab, E. I. Prokhorova, È. A. Lobanovaab, А. I. Anisicha, M. D. Cherkasova, V. I. Belokonab, K. V. Nefedevab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: Experimental images obtained by X-ray magnetic circular dichroism were digitized. The interaction energy of nanoparticles in the point dipole model was calculated. Particles having gray contrast in most cases have zero energy. Numerical calculations of the energy and heat capacity for the Apamea lattice were performed using the Metropolis algorithm in the limited radius dipole interaction model. The contribution of quantum fluctuations in the form of the Bose condensation temperature was calculated.

Key words: Ising model, XMCD images, GPU and CPU high performance calculations, statistical thermodynamics.

UDC: 519.17, 519.11, 519.684, 519.683

MSC: Primary 68R10; Secondary 82B30, 65Y05

Received: 17.03.2025
Accepted: 26.05.2025

DOI: 10.47910/FEMJ202508



© Steklov Math. Inst. of RAS, 2025