Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field
The transverse Ising model with bimodal random bond dilution and trimodal random longitudinal magnetic field was studied in terms of the effective-field theory (EFT) with correlations for a finite-cluster. The nearest-neighbor spins are assumed to be interacting randomly either ferromagnetically wit...
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| Veröffentlicht in: | European physical journal plus 2022-12, Vol.137 (12), p.1377, Article 1377 |
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| creator | Kple, J. Albayrak, E. Oke, T. D. Hontinfinde, F. |
| description | The transverse Ising model with bimodal random bond dilution and trimodal random longitudinal magnetic field was studied in terms of the effective-field theory (EFT) with correlations for a finite-cluster. The nearest-neighbor spins are assumed to be interacting randomly either ferromagnetically with probability
p
or the interaction between them are turned off with probability
(
1
-
p
)
. It is also assumed that half of the spins are under the influence of longitudinal magnetic field with equal probability t/2 along
z
-axis having the values of
+
H
and
-
H
while the other half of spins is free of
H
with probability
1
-
t
. The effects of changing the probabilities
p
and
t
, and the magnitudes of transverse and longitudinal magnetic fields for the magnetization components under temperature variations were examined in detail to obtain the possible phase diagrams of the model. It was obtained that the model exhibits both second- and first-order phase transitions, in addition to the tricritical points and reentrant behaviors for the first- and second-order phase transition temperature lines. |
| doi_str_mv | 10.1140/epjp/s13360-022-03610-w |
| format | Article |
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p
or the interaction between them are turned off with probability
(
1
-
p
)
. It is also assumed that half of the spins are under the influence of longitudinal magnetic field with equal probability t/2 along
z
-axis having the values of
+
H
and
-
H
while the other half of spins is free of
H
with probability
1
-
t
. The effects of changing the probabilities
p
and
t
, and the magnitudes of transverse and longitudinal magnetic fields for the magnetization components under temperature variations were examined in detail to obtain the possible phase diagrams of the model. It was obtained that the model exhibits both second- and first-order phase transitions, in addition to the tricritical points and reentrant behaviors for the first- and second-order phase transition temperature lines.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-022-03610-w</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Approximation ; Atomic ; Complex Systems ; Condensed Matter Physics ; Dilution ; Electrons ; Ferromagnetism ; Field theory ; Ising model ; Magnetic fields ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Phase diagrams ; Phase transitions ; Physics ; Physics and Astronomy ; Probability ; Probability distribution ; Regular Article ; Temperature ; Theoretical ; Transition temperature ; Transition temperatures</subject><ispartof>European physical journal plus, 2022-12, Vol.137 (12), p.1377, Article 1377</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c210t-1b4f38f010010a1de18b5ef860b6c79d2e96fd9571439e75d6228da7e73154a93</cites><orcidid>0000-0003-2695-0912</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/s13360-022-03610-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919598826?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>315,782,786,21395,27931,27932,33751,41495,42564,43812,51326,64392,64396,72476</link.rule.ids></links><search><creatorcontrib>Kple, J.</creatorcontrib><creatorcontrib>Albayrak, E.</creatorcontrib><creatorcontrib>Oke, T. D.</creatorcontrib><creatorcontrib>Hontinfinde, F.</creatorcontrib><title>Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>The transverse Ising model with bimodal random bond dilution and trimodal random longitudinal magnetic field was studied in terms of the effective-field theory (EFT) with correlations for a finite-cluster. The nearest-neighbor spins are assumed to be interacting randomly either ferromagnetically with probability
p
or the interaction between them are turned off with probability
(
1
-
p
)
. It is also assumed that half of the spins are under the influence of longitudinal magnetic field with equal probability t/2 along
z
-axis having the values of
+
H
and
-
H
while the other half of spins is free of
H
with probability
1
-
t
. The effects of changing the probabilities
p
and
t
, and the magnitudes of transverse and longitudinal magnetic fields for the magnetization components under temperature variations were examined in detail to obtain the possible phase diagrams of the model. It was obtained that the model exhibits both second- and first-order phase transitions, in addition to the tricritical points and reentrant behaviors for the first- and second-order phase transition temperature lines.</description><subject>Applied and Technical Physics</subject><subject>Approximation</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Dilution</subject><subject>Electrons</subject><subject>Ferromagnetism</subject><subject>Field theory</subject><subject>Ising model</subject><subject>Magnetic fields</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Phase diagrams</subject><subject>Phase transitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Probability</subject><subject>Probability distribution</subject><subject>Regular Article</subject><subject>Temperature</subject><subject>Theoretical</subject><subject>Transition temperature</subject><subject>Transition temperatures</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkFtLAzEQhRdRsNT-BgM-r2ay2UsepXgpFHzR55DdTLZZtpuabFv896auom8OAzMD5xyGL0mugd4CcHqHu253FyDLCppSxlKaFUDT41kyYyBomnPOz__sl8kihI7G4gK44LOkW3o72kb1pMaNOljnA3GGjF4N4YA-IFkFO7TEoPduq9oBR3K044ZEgXZbUrtBk7j-3L0bWjvutR1i5KS3DTEWe32VXBjVB1x8z3ny9vjwunxO1y9Pq-X9Om0Y0DGFmpusMhRobAUaoapzNFVB66IphWYoCqNFXgLPBJa5LhirtCqxzCDnSmTz5GbK3Xn3vscwys7tffwnSCZA5KKqWBFV5aRqvAvBo5E7b7fKf0ig8sRWntjKia2MbOUXW3mMzmpyhugYWvS_-f9ZPwFiWYH0</recordid><startdate>20221227</startdate><enddate>20221227</enddate><creator>Kple, J.</creator><creator>Albayrak, E.</creator><creator>Oke, T. D.</creator><creator>Hontinfinde, F.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><orcidid>https://orcid.org/0000-0003-2695-0912</orcidid></search><sort><creationdate>20221227</creationdate><title>Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field</title><author>Kple, J. ; Albayrak, E. ; Oke, T. D. ; Hontinfinde, F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c210t-1b4f38f010010a1de18b5ef860b6c79d2e96fd9571439e75d6228da7e73154a93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applied and Technical Physics</topic><topic>Approximation</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Dilution</topic><topic>Electrons</topic><topic>Ferromagnetism</topic><topic>Field theory</topic><topic>Ising model</topic><topic>Magnetic fields</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Phase diagrams</topic><topic>Phase transitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Probability</topic><topic>Probability distribution</topic><topic>Regular Article</topic><topic>Temperature</topic><topic>Theoretical</topic><topic>Transition temperature</topic><topic>Transition temperatures</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kple, J.</creatorcontrib><creatorcontrib>Albayrak, E.</creatorcontrib><creatorcontrib>Oke, T. D.</creatorcontrib><creatorcontrib>Hontinfinde, F.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kple, J.</au><au>Albayrak, E.</au><au>Oke, T. D.</au><au>Hontinfinde, F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2022-12-27</date><risdate>2022</risdate><volume>137</volume><issue>12</issue><spage>1377</spage><pages>1377-</pages><artnum>1377</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>The transverse Ising model with bimodal random bond dilution and trimodal random longitudinal magnetic field was studied in terms of the effective-field theory (EFT) with correlations for a finite-cluster. The nearest-neighbor spins are assumed to be interacting randomly either ferromagnetically with probability
p
or the interaction between them are turned off with probability
(
1
-
p
)
. It is also assumed that half of the spins are under the influence of longitudinal magnetic field with equal probability t/2 along
z
-axis having the values of
+
H
and
-
H
while the other half of spins is free of
H
with probability
1
-
t
. The effects of changing the probabilities
p
and
t
, and the magnitudes of transverse and longitudinal magnetic fields for the magnetization components under temperature variations were examined in detail to obtain the possible phase diagrams of the model. It was obtained that the model exhibits both second- and first-order phase transitions, in addition to the tricritical points and reentrant behaviors for the first- and second-order phase transition temperature lines.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-022-03610-w</doi><orcidid>https://orcid.org/0000-0003-2695-0912</orcidid></addata></record> |
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| subjects | Applied and Technical Physics Approximation Atomic Complex Systems Condensed Matter Physics Dilution Electrons Ferromagnetism Field theory Ising model Magnetic fields Mathematical and Computational Physics Molecular Optical and Plasma Physics Phase diagrams Phase transitions Physics Physics and Astronomy Probability Probability distribution Regular Article Temperature Theoretical Transition temperature Transition temperatures |
| title | Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field |
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