Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices
The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic Q -s...
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| Veröffentlicht in: | JETP letters 2011-09, Vol.94 (1), p.39-43 |
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| creator | Ananikian, N. S. Ananikyan, L. N. Chakhmakhchyan, L. A. |
| description | The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic
Q
-state Potts model on the Bethe lattice (at
Q
< 2) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems. |
| doi_str_mv | 10.1134/S0021364011130030 |
| format | Article |
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Q
-state Potts model on the Bethe lattice (at
Q
< 2) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems.</description><identifier>ISSN: 0021-3640</identifier><identifier>EISSN: 1090-6487</identifier><identifier>DOI: 10.1134/S0021364011130030</identifier><language>eng</language><publisher>Dordrecht: SP MAIK Nauka/Interperiodica</publisher><subject>Atomic ; Biological and Medical Physics ; Biophysics ; Molecular ; Optical and Plasma Physics ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Information Technology ; Solid State Physics ; Spintronics</subject><ispartof>JETP letters, 2011-09, Vol.94 (1), p.39-43</ispartof><rights>Pleiades Publishing, Ltd. 2011</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c331t-33e5338264dea2749ea4fe246e7d80f2c9188a8b3c1dece9e267d8b88acd18eb3</citedby><cites>FETCH-LOGICAL-c331t-33e5338264dea2749ea4fe246e7d80f2c9188a8b3c1dece9e267d8b88acd18eb3</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/S0021364011130030$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021364011130030$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Ananikian, N. S.</creatorcontrib><creatorcontrib>Ananikyan, L. N.</creatorcontrib><creatorcontrib>Chakhmakhchyan, L. A.</creatorcontrib><title>Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices</title><title>JETP letters</title><addtitle>Jetp Lett</addtitle><description>The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic
Q
-state Potts model on the Bethe lattice (at
Q
< 2) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems.</description><subject>Atomic</subject><subject>Biological and Medical Physics</subject><subject>Biophysics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information Technology</subject><subject>Solid State Physics</subject><subject>Spintronics</subject><issn>0021-3640</issn><issn>1090-6487</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LxDAQxYMouK5-AG_5AtUkE9v0KIt_FhY8qOCtpMm0ZGmTJem67Lc3Zb0JnoZ57_eG4RFyy9kd5yDv3xkTHErJeF4ZA3ZGFpzVrCilqs7JYraL2b8kVyltWeYUVAvytTqawRm6w-iCLYAenLfhQJ2n2k-uwxjDqHuP0wyFaUpZt3SdnO_pGCwOiQZPI5p9TO4b6aCnjGK6JhedHhLe_M4l-Xx--li9Fpu3l_XqcVMYAD4VAPgAoEQpLWpRyRq17FDIEiurWCdMzZXSqgXDLRqsUZTZaLNmLFfYwpLw010TQ0oRu2YX3ajjseGsmatp_lSTM-KUSZn1PcZmG_bR5zf_Cf0Af3lmtQ</recordid><startdate>20110901</startdate><enddate>20110901</enddate><creator>Ananikian, N. S.</creator><creator>Ananikyan, L. N.</creator><creator>Chakhmakhchyan, L. A.</creator><general>SP MAIK Nauka/Interperiodica</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20110901</creationdate><title>Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices</title><author>Ananikian, N. S. ; Ananikyan, L. N. ; Chakhmakhchyan, L. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-33e5338264dea2749ea4fe246e7d80f2c9188a8b3c1dece9e267d8b88acd18eb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Atomic</topic><topic>Biological and Medical Physics</topic><topic>Biophysics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information Technology</topic><topic>Solid State Physics</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ananikian, N. S.</creatorcontrib><creatorcontrib>Ananikyan, L. N.</creatorcontrib><creatorcontrib>Chakhmakhchyan, L. A.</creatorcontrib><collection>CrossRef</collection><jtitle>JETP letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ananikian, N. S.</au><au>Ananikyan, L. N.</au><au>Chakhmakhchyan, L. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices</atitle><jtitle>JETP letters</jtitle><stitle>Jetp Lett</stitle><date>2011-09-01</date><risdate>2011</risdate><volume>94</volume><issue>1</issue><spage>39</spage><epage>43</epage><pages>39-43</pages><issn>0021-3640</issn><eissn>1090-6487</eissn><abstract>The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic
Q
-state Potts model on the Bethe lattice (at
Q
< 2) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems.</abstract><cop>Dordrecht</cop><pub>SP MAIK Nauka/Interperiodica</pub><doi>10.1134/S0021364011130030</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Atomic Biological and Medical Physics Biophysics Molecular Optical and Plasma Physics Particle and Nuclear Physics Physics Physics and Astronomy Quantum Information Technology Solid State Physics Spintronics |
| title | Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices |
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