Critical Magnetic Hysteresis Behaviors in a Mixed Spin-1 and Spin-7/2 Blume-Capel Ising System.

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Title: Critical Magnetic Hysteresis Behaviors in a Mixed Spin-1 and Spin-7/2 Blume-Capel Ising System.
Authors: Al-Brihy, Ali Ismael1 (AUTHOR) Ali1999p@yahoo.com, Alturki, Hasan F.2 (AUTHOR) Hssnmugetsu@gmail.com
Source: Journal of Superconductivity & Novel Magnetism. Jun2025, Vol. 38 Issue 3, p1-11. 11p.
Abstract: In this work, we investigate the magnetic properties and hysteresis behavior of a mixed spin-1 and spin-7/2 Blume–Capel (BC) Ising model via the mean field approximation (MFA) method, which is based on the Gibbs–Bogoliubov inequality for free energy. We study the system both in the presence and absence of an external magnetic field (h) and explore the appearance of compensation critical points for different crystal field D values when h = 0. The results indicate that there is a critical point of D B = − 2.0, which promotes the appearance of compensation points, whereas D A influences the value of the compensation points. The thermal behavior of the order parameters is analyzed across various crystal field values under multiple external field strengths at specific temperatures. Our results indicate that the system undergoes a second-order phase transition at h = 0, whereas first-order phase transitions occur for h > − 0.5. Only a single hysteresis loop exists for D = 0 and T < 8; however, triple and double hysteresis loops are observed when the crystal field conditions change, along with the emergence of a superparamagnetic phase at higher temperatures and at lower values of D. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Superconductivity & Novel Magnetism is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Critical Magnetic Hysteresis Behaviors in a Mixed Spin-1 and Spin-7/2 Blume-Capel Ising System.
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  Data: &lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Al-Brihy%2C+Ali+Ismael%22&quot;&gt;Al-Brihy, Ali Ismael&lt;/searchLink&gt;&lt;relatesTo&gt;1&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; Ali1999p@yahoo.com&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Alturki%2C+Hasan+F%2E%22&quot;&gt;Alturki, Hasan F.&lt;/searchLink&gt;&lt;relatesTo&gt;2&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; Hssnmugetsu@gmail.com&lt;/i&gt;
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this work, we investigate the magnetic properties and hysteresis behavior of a mixed spin-1 and spin-7/2 Blume–Capel (BC) Ising model via the mean field approximation (MFA) method, which is based on the Gibbs–Bogoliubov inequality for free energy. We study the system both in the presence and absence of an external magnetic field (h) and explore the appearance of compensation critical points for different crystal field D values when h = 0. The results indicate that there is a critical point of D B = − 2.0, which promotes the appearance of compensation points, whereas D A influences the value of the compensation points. The thermal behavior of the order parameters is analyzed across various crystal field values under multiple external field strengths at specific temperatures. Our results indicate that the system undergoes a second-order phase transition at h = 0, whereas first-order phase transitions occur for h &gt; − 0.5. Only a single hysteresis loop exists for D = 0 and T &lt; 8; however, triple and double hysteresis loops are observed when the crystal field conditions change, along with the emergence of a superparamagnetic phase at higher temperatures and at lower values of D. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: &lt;i&gt;Copyright of Journal of Superconductivity &amp; Novel Magnetism is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10948-025-06985-w
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      – Code: eng
        Text: English
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      – TitleFull: Critical Magnetic Hysteresis Behaviors in a Mixed Spin-1 and Spin-7/2 Blume-Capel Ising System.
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            NameFull: Al-Brihy, Ali Ismael
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              Text: Jun2025
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              Y: 2025
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