Phenomenological Models of Ferroelastics with a Fully Symmetric Order Parameter: Classification by Methods of Equivariant Catastrophe Theory
Using the methods of the catastrophe theory, which take into account the symmetry of the thermodynamic system, phenomenological models of phase transitions in proper and pseudoproper ferroelastics have been constructed for interacting order parameters, one of which is fully symmetric, invariant with...
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| Veröffentlicht in: | Moscow University physics bulletin 2023-10, Vol.78 (5), p.658-662 |
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| container_title | Moscow University physics bulletin |
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| creator | Pavlov, S. V. |
| description | Using the methods of the catastrophe theory, which take into account the symmetry of the thermodynamic system, phenomenological models of phase transitions in proper and pseudoproper ferroelastics have been constructed for interacting order parameters, one of which is fully symmetric, invariant with respect to all symmetry transformations of the crystal. A classification of models based on the number of control parameters, which depend on external thermodynamic conditions, has been carried out. A phase diagram of one of the models has been constructed, and the theoretical temperature dependence of the heat capacity has been calculated. The comparison of theoretical and experimental data showed satisfactory qualitative agreement. |
| doi_str_mv | 10.3103/S0027134923050144 |
| format | Article |
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V.</creatorcontrib><title>Phenomenological Models of Ferroelastics with a Fully Symmetric Order Parameter: Classification by Methods of Equivariant Catastrophe Theory</title><title>Moscow University physics bulletin</title><addtitle>Moscow Univ. Phys</addtitle><description>Using the methods of the catastrophe theory, which take into account the symmetry of the thermodynamic system, phenomenological models of phase transitions in proper and pseudoproper ferroelastics have been constructed for interacting order parameters, one of which is fully symmetric, invariant with respect to all symmetry transformations of the crystal. A classification of models based on the number of control parameters, which depend on external thermodynamic conditions, has been carried out. A phase diagram of one of the models has been constructed, and the theoretical temperature dependence of the heat capacity has been calculated. The comparison of theoretical and experimental data showed satisfactory qualitative agreement.</description><subject>Catastrophe theory</subject><subject>Classification</subject><subject>Condensed Matter Physics</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical models</subject><subject>Order parameters</subject><subject>Phase diagrams</subject><subject>Phase transitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Qualitative analysis</subject><subject>Symmetry</subject><subject>Temperature dependence</subject><subject>Theoretical</subject><subject>Thermodynamics</subject><issn>0027-1349</issn><issn>1934-8460</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kM1KxDAUhYMoOI4-gLuA62rSdNrGnRRHBQcFdV3S_NhI28zcpErfwYc24wguxMXlwj3nfBcOQqeUnDNK2MUTIWlBWcZTRhaEZtkemlHOsqTMcrKPZls52eqH6Mj7N0IWecr4DH0-tnpwfZzOvVopOrxySnceO4OXGsDpTvhgpccfNrRY4OXYdRN-mvpeB7ASP4DSgB8FiHjQcImrGPDWRFawbsDNhFc6tE59I683o30XYMUQcCVCRINbtxo_t9rBdIwOjOi8PvnZc_SyvH6ubpP7h5u76uo-kZSXIVENTYsyM00hWMMlZ0qlsiBcy4XMCVUijxVIYzQvikxRlppGGFWUOWGFIrlgc3S2467BbUbtQ_3mRhjiyzoteV7GIvMyuujOJcF5D9rUa7C9gKmmpN6WXv8pPWbSXcZH7_Cq4Zf8f-gLov2GTQ</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Pavlov, S. 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V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c198t-db12784fb7a3b9c93dd2c709ec5c601da6050cffe9774d132fbafd786037d06a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Catastrophe theory</topic><topic>Classification</topic><topic>Condensed Matter Physics</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical models</topic><topic>Order parameters</topic><topic>Phase diagrams</topic><topic>Phase transitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Qualitative analysis</topic><topic>Symmetry</topic><topic>Temperature dependence</topic><topic>Theoretical</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pavlov, S. 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Phys</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>78</volume><issue>5</issue><spage>658</spage><epage>662</epage><pages>658-662</pages><issn>0027-1349</issn><eissn>1934-8460</eissn><abstract>Using the methods of the catastrophe theory, which take into account the symmetry of the thermodynamic system, phenomenological models of phase transitions in proper and pseudoproper ferroelastics have been constructed for interacting order parameters, one of which is fully symmetric, invariant with respect to all symmetry transformations of the crystal. A classification of models based on the number of control parameters, which depend on external thermodynamic conditions, has been carried out. A phase diagram of one of the models has been constructed, and the theoretical temperature dependence of the heat capacity has been calculated. The comparison of theoretical and experimental data showed satisfactory qualitative agreement.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S0027134923050144</doi><tpages>5</tpages></addata></record> |
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| subjects | Catastrophe theory Classification Condensed Matter Physics Mathematical and Computational Physics Mathematical models Order parameters Phase diagrams Phase transitions Physics Physics and Astronomy Qualitative analysis Symmetry Temperature dependence Theoretical Thermodynamics |
| title | Phenomenological Models of Ferroelastics with a Fully Symmetric Order Parameter: Classification by Methods of Equivariant Catastrophe Theory |
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