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Blume-Capel model analysis with a microcanonical population annealing method
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2024. Vol. 109. No. 4. Article 045306.
Vyacheslav Mozolenko, Shchur L.
We present a modification of the Rose-Machta algorithm [N. Rose and J. Machta, Phys. Rev. E 100, 063304 (2019)] and estimate the density of states for a two-dimensional Blume-Capel model, simulating 105 replicas in parallel for each set of parameters. We perform a finite-size analysis of the specific heat and Binder cumulant, determine the critical temperature along the critical line, and evaluate the critical exponents. The obtained results are in good agreement with those previously obtained using various methods—Markov chain Monte Carlo simulation, Wang-Landau simulation, transfer matrix, and series expansion. The simulation results clearly illustrate the typical behavior of specific heat along the critical lines and through the tricritical point.
Language:
English
Seul: PMLR, 2026.
Added: June 4, 2026
Das A., Hazarika A. P., Das S. K. et al., Physica B: Condensed Matter 2026 Vol. 738
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Ceramic superconductors exhibit remarkable properties, including zero electrical resistance and potent magnetic behavior, operating at temperatures as high as the boiling points of liquid nitrogen (77 K) and liquid hydrogen (20 K). These characteristics position them as key enablers for sustainable technologies spanning electric propulsion, lossless energy transmission, advanced medical imaging, and quantum computation. This review presents ...
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Brain-computer interfaces (BCIs) represent a promising technology for restoring lower limb motor functions and gait after stroke. The application of BCIs in this field is supported by a limited number of studies. The objective of the review was to systematically and critically evaluate the current evidence on the use of BCIs for lower limb function ...
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D.D. Sukhoverkhova, L.N. Shchur, , in: Параллельные вычислительные технологии – XIX всероссийская конференция с международным участием, ПаВТ'2025. Короткие статьи и описания плакатов.: Издательский центр ЮУрГУ, 2025. P. 82–89.
We apply supervised deep machine learning techniques to extract properties of the anisotropic Ising model. We consider two cases of anisotropy: orthogonal and diagonal. From the predictions of the neural network, we obtained phase probability functions, from which we measured two quantities: the critical temperature and the critical exponent of the correlation length. We estimated ...
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Sukhoverkhova D., Vyacheslav Mozolenko, Shchur L., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2025 Vol. 112 No. 4 Article 044128
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Added: November 21, 2024
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We present a modification of the Rose-Machta algorithm (Phys. Rev. E 100 (2019) 063304) and estimate the density of states for a two-dimensional Blume-Capel model, simulating 10^5 replicas in parallel for each set of parameters. We perform a finite-size analysis of the specific heat and Binder cumulant, determine the critical temperature along the critical line, ...
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The transition from the molecular state to the atomic state in warm dense hydrogen fluid has been actively studied in the past few decades. The use of various experimental techniques has not yet led to reliable results consistent with each other. Despite numerous attempts, theoretical methods have not yet explained existing discrepancies in the experimental ...
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