Analysis of the Effect of Different Initial States and Structural Defects on the Characteristics of the Nonequilibrium Critical Behavior of the 3D Ising Model
The effect of different initial values m 0 of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibilit...
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| Veröffentlicht in: | Journal of experimental and theoretical physics 2017-12, Vol.125 (6), p.1102-1115 |
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| creator | Prudnikov, V. V. Prudnikov, P. V. Malyarenko, P. N. |
| description | The effect of different initial values
m
0
of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initial states on the aging effects that are characterized by anomalous retardation of relaxation and correlation in the system upon an increase in the waiting time. We have studied the violations of the fluctuation–dissipation theorem and calculated the limiting fluctuation–dissipation ratio. It is shown that in the nonequilibrium critical behavior of the 3D Ising model, two universality subclasses corresponding to the evolution of the system from the high-temperature (with
m
0
= 0) and low-temperature (with
m
0
= 1) initial states with the values of the limiting fluctuation–dissipation ratio typical of these states can be singled out. |
| doi_str_mv | 10.1134/S1063776117120196 |
| format | Article |
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m
0
of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initial states on the aging effects that are characterized by anomalous retardation of relaxation and correlation in the system upon an increase in the waiting time. We have studied the violations of the fluctuation–dissipation theorem and calculated the limiting fluctuation–dissipation ratio. It is shown that in the nonequilibrium critical behavior of the 3D Ising model, two universality subclasses corresponding to the evolution of the system from the high-temperature (with
m
0
= 0) and low-temperature (with
m
0
= 1) initial states with the values of the limiting fluctuation–dissipation ratio typical of these states can be singled out.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S1063776117120196</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Autocorrelation functions ; Classical and Quantum Gravitation ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Computer simulation ; Constraining ; Defects ; Disorder ; Dissipation ; Elementary Particles ; ISING MODEL ; Magnetization ; MATHEMATICAL EVOLUTION ; Mathematical models ; Microstructure ; MONTE CARLO METHOD ; Monte Carlo methods ; Monte Carlo simulation ; Order ; Particle and Nuclear Physics ; Phase Transition in Condensed System ; Physics ; Physics and Astronomy ; Quantum Field Theory ; RARE EARTHS ; Relativity Theory ; RESOURCES ; Solid State Physics ; TEMPERATURE RANGE 0400-1000 K ; Three dimensional models ; THREE-DIMENSIONAL CALCULATIONS ; Variation</subject><ispartof>Journal of experimental and theoretical physics, 2017-12, Vol.125 (6), p.1102-1115</ispartof><rights>Pleiades Publishing, Inc. 2017</rights><rights>COPYRIGHT 2017 Springer</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c417t-8d5fb4f1095441177d770bb6105c486a23a9b273833bfa9df48e0fab18b1a1f13</citedby><cites>FETCH-LOGICAL-c417t-8d5fb4f1095441177d770bb6105c486a23a9b273833bfa9df48e0fab18b1a1f13</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/S1063776117120196$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063776117120196$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22756159$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Prudnikov, V. V.</creatorcontrib><creatorcontrib>Prudnikov, P. V.</creatorcontrib><creatorcontrib>Malyarenko, P. N.</creatorcontrib><title>Analysis of the Effect of Different Initial States and Structural Defects on the Characteristics of the Nonequilibrium Critical Behavior of the 3D Ising Model</title><title>Journal of experimental and theoretical physics</title><addtitle>J. Exp. Theor. Phys</addtitle><description>The effect of different initial values
m
0
of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initial states on the aging effects that are characterized by anomalous retardation of relaxation and correlation in the system upon an increase in the waiting time. We have studied the violations of the fluctuation–dissipation theorem and calculated the limiting fluctuation–dissipation ratio. It is shown that in the nonequilibrium critical behavior of the 3D Ising model, two universality subclasses corresponding to the evolution of the system from the high-temperature (with
m
0
= 0) and low-temperature (with
m
0
= 1) initial states with the values of the limiting fluctuation–dissipation ratio typical of these states can be singled out.</description><subject>Autocorrelation functions</subject><subject>Classical and Quantum Gravitation</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Computer simulation</subject><subject>Constraining</subject><subject>Defects</subject><subject>Disorder</subject><subject>Dissipation</subject><subject>Elementary Particles</subject><subject>ISING MODEL</subject><subject>Magnetization</subject><subject>MATHEMATICAL EVOLUTION</subject><subject>Mathematical models</subject><subject>Microstructure</subject><subject>MONTE CARLO METHOD</subject><subject>Monte Carlo methods</subject><subject>Monte Carlo simulation</subject><subject>Order</subject><subject>Particle and Nuclear Physics</subject><subject>Phase Transition in Condensed System</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>RARE EARTHS</subject><subject>Relativity Theory</subject><subject>RESOURCES</subject><subject>Solid State Physics</subject><subject>TEMPERATURE RANGE 0400-1000 K</subject><subject>Three dimensional models</subject><subject>THREE-DIMENSIONAL CALCULATIONS</subject><subject>Variation</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1ksFu1DAQhiMEEqXwANwiceKwxWMnTnJcdgtdqYDEwtlynPGuq6zd2k5FX4Zn7YQFqgohHzwef_-vmbGL4jWwMwBRvdsCk6JpJEADnEEnnxQnwDq2kDXrns6xFIv5_nnxIqUrxljLWXdS_Fx6Pd4ll8pgy7zH8txaNHk-rR2FEX0uN95lp8dym3XGVGo_UBgnk6dI2TXOCjLwvwxWex21yRhdys789f0cPN5MbnR9dNOhXEWyNKR-j3t960L8w4l1uUnO78pPYcDxZfHM6jHhq9_7afH9w_m31cXi8svHzWp5uTAVNHnRDrXtK0sN11VFI2iGpmF9L4HVpmql5kJ3PW9EK0RvdTfYqkVmdQ9tDxosiNPizdE3UNEqGZfR7E3wnjpTnDe1hLp7oK5juJkwZXUVpkgDTIoz1nFZA5dEnR2pnR5ROW9DpoHQGvDgyBOto_yyFvQEHZMtCd4-EhCT8Ufe6Skltdl-fczCkTUxpBTRquvoDjreKWBq_gnqn59AGn7UJGL9DuND2f8X3QN8YLPg</recordid><startdate>20171201</startdate><enddate>20171201</enddate><creator>Prudnikov, V. V.</creator><creator>Prudnikov, P. V.</creator><creator>Malyarenko, P. N.</creator><general>Pleiades Publishing</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope><scope>OTOTI</scope></search><sort><creationdate>20171201</creationdate><title>Analysis of the Effect of Different Initial States and Structural Defects on the Characteristics of the Nonequilibrium Critical Behavior of the 3D Ising Model</title><author>Prudnikov, V. V. ; Prudnikov, P. V. ; Malyarenko, P. N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c417t-8d5fb4f1095441177d770bb6105c486a23a9b273833bfa9df48e0fab18b1a1f13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Autocorrelation functions</topic><topic>Classical and Quantum Gravitation</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Computer simulation</topic><topic>Constraining</topic><topic>Defects</topic><topic>Disorder</topic><topic>Dissipation</topic><topic>Elementary Particles</topic><topic>ISING MODEL</topic><topic>Magnetization</topic><topic>MATHEMATICAL EVOLUTION</topic><topic>Mathematical models</topic><topic>Microstructure</topic><topic>MONTE CARLO METHOD</topic><topic>Monte Carlo methods</topic><topic>Monte Carlo simulation</topic><topic>Order</topic><topic>Particle and Nuclear Physics</topic><topic>Phase Transition in Condensed System</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>RARE EARTHS</topic><topic>Relativity Theory</topic><topic>RESOURCES</topic><topic>Solid State Physics</topic><topic>TEMPERATURE RANGE 0400-1000 K</topic><topic>Three dimensional models</topic><topic>THREE-DIMENSIONAL CALCULATIONS</topic><topic>Variation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Prudnikov, V. V.</creatorcontrib><creatorcontrib>Prudnikov, P. V.</creatorcontrib><creatorcontrib>Malyarenko, P. N.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><collection>OSTI.GOV</collection><jtitle>Journal of experimental and theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Prudnikov, V. V.</au><au>Prudnikov, P. V.</au><au>Malyarenko, P. N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of the Effect of Different Initial States and Structural Defects on the Characteristics of the Nonequilibrium Critical Behavior of the 3D Ising Model</atitle><jtitle>Journal of experimental and theoretical physics</jtitle><stitle>J. Exp. Theor. Phys</stitle><date>2017-12-01</date><risdate>2017</risdate><volume>125</volume><issue>6</issue><spage>1102</spage><epage>1115</epage><pages>1102-1115</pages><issn>1063-7761</issn><eissn>1090-6509</eissn><abstract>The effect of different initial values
m
0
of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initial states on the aging effects that are characterized by anomalous retardation of relaxation and correlation in the system upon an increase in the waiting time. We have studied the violations of the fluctuation–dissipation theorem and calculated the limiting fluctuation–dissipation ratio. It is shown that in the nonequilibrium critical behavior of the 3D Ising model, two universality subclasses corresponding to the evolution of the system from the high-temperature (with
m
0
= 0) and low-temperature (with
m
0
= 1) initial states with the values of the limiting fluctuation–dissipation ratio typical of these states can be singled out.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063776117120196</doi><tpages>14</tpages></addata></record> |
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| subjects | Autocorrelation functions Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computer simulation Constraining Defects Disorder Dissipation Elementary Particles ISING MODEL Magnetization MATHEMATICAL EVOLUTION Mathematical models Microstructure MONTE CARLO METHOD Monte Carlo methods Monte Carlo simulation Order Particle and Nuclear Physics Phase Transition in Condensed System Physics Physics and Astronomy Quantum Field Theory RARE EARTHS Relativity Theory RESOURCES Solid State Physics TEMPERATURE RANGE 0400-1000 K Three dimensional models THREE-DIMENSIONAL CALCULATIONS Variation |
| title | Analysis of the Effect of Different Initial States and Structural Defects on the Characteristics of the Nonequilibrium Critical Behavior of the 3D Ising Model |
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