Zeroth-Order Nucleation Transition under Nanoscale Phase Separation
Materials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phase configurations, a renormalized Hamiltonian is derived describing the coexisting phases. The system is characterized by...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/12/2379 |
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| author | Vyacheslav I. Yukalov Elizaveta P. Yukalova |
| author_facet | Vyacheslav I. Yukalov Elizaveta P. Yukalova |
| author_sort | Vyacheslav I. Yukalov |
| collection | DOAJ |
| description | Materials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phase configurations, a renormalized Hamiltonian is derived describing the coexisting phases. The system is characterized by direct and exchange interactions and an external magnetic field. The properties of the system are studied numerically. The stability conditions define the stable state of the system. At a temperature of zero, the system is in a pure ferromagnetic state. However, at finite temperature, for some interaction parameters, the system can exhibit a zeroth-order nucleation transition between the pure ferromagnetic phase and the mixed state with coexisting ferromagnetic and paramagnetic phases. At the nucleation transition, the finite concentration of the paramagnetic phase appears via a jump. |
| first_indexed | 2024-03-10T03:59:37Z |
| format | Article |
| id | doaj.art-0edf49ad8bf74d69a8473d0c516745ef |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T03:59:37Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0edf49ad8bf74d69a8473d0c516745ef2023-11-23T10:46:21ZengMDPI AGSymmetry2073-89942021-12-011312237910.3390/sym13122379Zeroth-Order Nucleation Transition under Nanoscale Phase SeparationVyacheslav I. Yukalov0Elizaveta P. Yukalova1Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, RussiaLaboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, RussiaMaterials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phase configurations, a renormalized Hamiltonian is derived describing the coexisting phases. The system is characterized by direct and exchange interactions and an external magnetic field. The properties of the system are studied numerically. The stability conditions define the stable state of the system. At a temperature of zero, the system is in a pure ferromagnetic state. However, at finite temperature, for some interaction parameters, the system can exhibit a zeroth-order nucleation transition between the pure ferromagnetic phase and the mixed state with coexisting ferromagnetic and paramagnetic phases. At the nucleation transition, the finite concentration of the paramagnetic phase appears via a jump.https://www.mdpi.com/2073-8994/13/12/2379nanoscale phase separationquasi-equilibrium systemheterophase mixturezeroth-order transitionnucleation point |
| spellingShingle | Vyacheslav I. Yukalov Elizaveta P. Yukalova Zeroth-Order Nucleation Transition under Nanoscale Phase Separation Symmetry nanoscale phase separation quasi-equilibrium system heterophase mixture zeroth-order transition nucleation point |
| title | Zeroth-Order Nucleation Transition under Nanoscale Phase Separation |
| title_full | Zeroth-Order Nucleation Transition under Nanoscale Phase Separation |
| title_fullStr | Zeroth-Order Nucleation Transition under Nanoscale Phase Separation |
| title_full_unstemmed | Zeroth-Order Nucleation Transition under Nanoscale Phase Separation |
| title_short | Zeroth-Order Nucleation Transition under Nanoscale Phase Separation |
| title_sort | zeroth order nucleation transition under nanoscale phase separation |
| topic | nanoscale phase separation quasi-equilibrium system heterophase mixture zeroth-order transition nucleation point |
| url | https://www.mdpi.com/2073-8994/13/12/2379 |
| work_keys_str_mv | AT vyacheslaviyukalov zerothordernucleationtransitionundernanoscalephaseseparation AT elizavetapyukalova zerothordernucleationtransitionundernanoscalephaseseparation |