Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation
Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of L × L = N ( L = 9–48) on a triangular latt...
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| Veröffentlicht in: | Physics of the solid state 2016-10, Vol.58 (10), p.2074-2077 |
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| container_issue | 10 |
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| container_title | Physics of the solid state |
| container_volume | 58 |
| creator | Babaev, A. B. Murtazaev, A. K. Suleimanov, E. M. Rizvanova, T. R. |
| description | Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of
L
×
L
=
N
(
L
= 9–48) on a triangular lattice have been considered. It has been shown that in the case of
J
1
> 0 and
J
2
< 0 frustrations appear in the spin system within the interval of 0.5 ≤ |
r
| ≤ 1.0. The model undergoes a phase transition outside this region. |
| doi_str_mv | 10.1134/S106378341610005X |
| format | Article |
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L
×
L
=
N
(
L
= 9–48) on a triangular lattice have been considered. It has been shown that in the case of
J
1
> 0 and
J
2
< 0 frustrations appear in the spin system within the interval of 0.5 ≤ |
r
| ≤ 1.0. The model undergoes a phase transition outside this region.</description><identifier>ISSN: 1063-7834</identifier><identifier>EISSN: 1090-6460</identifier><identifier>DOI: 10.1134/S106378341610005X</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Analysis ; Computer simulation ; Monte Carlo methods ; Monte Carlo simulation ; Phase Transitions ; Physics ; Physics and Astronomy ; Solid State Physics ; Thermodynamic properties ; Thermodynamics ; Two dimensional models</subject><ispartof>Physics of the solid state, 2016-10, Vol.58 (10), p.2074-2077</ispartof><rights>Pleiades Publishing, Ltd. 2016</rights><rights>COPYRIGHT 2016 Springer</rights><rights>Copyright Springer Science & Business Media 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-a0d8b6d56d5ded12d136437d92507a783904fd4cee6a4d1a63c36cfe023749f3</citedby><cites>FETCH-LOGICAL-c389t-a0d8b6d56d5ded12d136437d92507a783904fd4cee6a4d1a63c36cfe023749f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S106378341610005X$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S106378341610005X$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Babaev, A. B.</creatorcontrib><creatorcontrib>Murtazaev, A. K.</creatorcontrib><creatorcontrib>Suleimanov, E. M.</creatorcontrib><creatorcontrib>Rizvanova, T. R.</creatorcontrib><title>Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation</title><title>Physics of the solid state</title><addtitle>Phys. Solid State</addtitle><description>Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of
L
×
L
=
N
(
L
= 9–48) on a triangular lattice have been considered. It has been shown that in the case of
J
1
> 0 and
J
2
< 0 frustrations appear in the spin system within the interval of 0.5 ≤ |
r
| ≤ 1.0. The model undergoes a phase transition outside this region.</description><subject>Analysis</subject><subject>Computer simulation</subject><subject>Monte Carlo methods</subject><subject>Monte Carlo simulation</subject><subject>Phase Transitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Solid State Physics</subject><subject>Thermodynamic properties</subject><subject>Thermodynamics</subject><subject>Two dimensional models</subject><issn>1063-7834</issn><issn>1090-6460</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kcFu3CAQhq2qlZqmfYDekHLqwSljMLaPUdSkK0Vq1eTQm0Vg2BLZsGGwklVfvribQ6KqAgRivh_-mamqj8BPAYT8fA1cia4XEhRwztufr6oj4AOvlVT89XpWol7jb6t3RHecA0A7HFW_N8FNCwaDLDrm0kI56exjIBYDy79wXWmOdh_07A3bpbjDlD3Syq_xKT7U1s8YqKj0xL7HnIkVBU6M8mI9Wna7ZybOuyVjYuTnZfr7xfvqjdMT4Yen_bi6ufhyc_61vvp2uTk_u6qN6Idca277W2XbMi1aaCwIJUVnh6blnS45DVw6Kw2i0tKCVsIIZRzyRnRycOK4Ojk8W7zfL0h5vItLKlZphL7nfduUYhTq9EBt9YSjDy6WQpgyLJa8Y0Dny_2ZHNqugU7KIvj0QlCYjI95qxeicXP94yULB9akSJTQjbvkZ532I_Bx7d_4T_-KpjloqLBhi-mZ7f-K_gBmyZ4c</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Babaev, A. B.</creator><creator>Murtazaev, A. K.</creator><creator>Suleimanov, E. M.</creator><creator>Rizvanova, T. R.</creator><general>Pleiades Publishing</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20161001</creationdate><title>Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation</title><author>Babaev, A. B. ; Murtazaev, A. K. ; Suleimanov, E. M. ; Rizvanova, T. R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-a0d8b6d56d5ded12d136437d92507a783904fd4cee6a4d1a63c36cfe023749f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Analysis</topic><topic>Computer simulation</topic><topic>Monte Carlo methods</topic><topic>Monte Carlo simulation</topic><topic>Phase Transitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Solid State Physics</topic><topic>Thermodynamic properties</topic><topic>Thermodynamics</topic><topic>Two dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Babaev, A. B.</creatorcontrib><creatorcontrib>Murtazaev, A. K.</creatorcontrib><creatorcontrib>Suleimanov, E. M.</creatorcontrib><creatorcontrib>Rizvanova, T. R.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Physics of the solid state</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Babaev, A. B.</au><au>Murtazaev, A. K.</au><au>Suleimanov, E. M.</au><au>Rizvanova, T. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation</atitle><jtitle>Physics of the solid state</jtitle><stitle>Phys. Solid State</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>58</volume><issue>10</issue><spage>2074</spage><epage>2077</epage><pages>2074-2077</pages><issn>1063-7834</issn><eissn>1090-6460</eissn><abstract>Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of
L
×
L
=
N
(
L
= 9–48) on a triangular lattice have been considered. It has been shown that in the case of
J
1
> 0 and
J
2
< 0 frustrations appear in the spin system within the interval of 0.5 ≤ |
r
| ≤ 1.0. The model undergoes a phase transition outside this region.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S106378341610005X</doi><tpages>4</tpages></addata></record> |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Analysis Computer simulation Monte Carlo methods Monte Carlo simulation Phase Transitions Physics Physics and Astronomy Solid State Physics Thermodynamic properties Thermodynamics Two dimensional models |
| title | Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation |
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