Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter
In this paper, the nonlinear and chaotic responses of bulk antiferroelectrics are elaborated phenomenologically and numerically. The first ordered phase of bulk antiferroelectrics is formulated by applying calculus of variations to Landau free energy density expansions of bulk antiferroelectrics. W...
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| Format: | Article |
| Language: | English |
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Herzen State Pedagogical University of Russia
2022-09-01
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| Series: | Physics of Complex Systems |
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| Online Access: | https://www.physcomsys.ru/index.php/physcomsys/article/view/95 |
| _version_ | 1817986355853000704 |
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| author | Сью-Чу Лим |
| author_facet | Сью-Чу Лим |
| author_sort | Сью-Чу Лим |
| collection | DOAJ |
| description |
In this paper, the nonlinear and chaotic responses of bulk antiferroelectrics are elaborated phenomenologically and numerically. The first ordered phase of bulk antiferroelectrics is formulated by applying calculus of variations to Landau free energy density expansions of bulk antiferroelectrics. With applied time-dependent electric field, the antiferroelectrics dynamic responses are obtained by Landau–Khalatnikov equation of motion. The resulting dynamical equations are two nonlinearly-coupled second order differential equations corresponding to two inter-penetrating sub-lattices of antiferroelectrics, and these are solved numerically using forth-order Runge–Kutta methods and ammonium dihydrogen phosphate parameters in its first ordered phase. These calculated results are presented graphically for various frequencies and amplitudes in the applied electric fields.
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| first_indexed | 2024-04-14T00:08:08Z |
| format | Article |
| id | doaj.art-ed9e063c80dc4680bea5621744e703d9 |
| institution | Directory Open Access Journal |
| issn | 2687-153X |
| language | English |
| last_indexed | 2024-04-14T00:08:08Z |
| publishDate | 2022-09-01 |
| publisher | Herzen State Pedagogical University of Russia |
| record_format | Article |
| series | Physics of Complex Systems |
| spelling | doaj.art-ed9e063c80dc4680bea5621744e703d92022-12-22T02:23:27ZengHerzen State Pedagogical University of RussiaPhysics of Complex Systems2687-153X2022-09-0133Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameterСью-Чу Лим0Universiti Sains Malaysia In this paper, the nonlinear and chaotic responses of bulk antiferroelectrics are elaborated phenomenologically and numerically. The first ordered phase of bulk antiferroelectrics is formulated by applying calculus of variations to Landau free energy density expansions of bulk antiferroelectrics. With applied time-dependent electric field, the antiferroelectrics dynamic responses are obtained by Landau–Khalatnikov equation of motion. The resulting dynamical equations are two nonlinearly-coupled second order differential equations corresponding to two inter-penetrating sub-lattices of antiferroelectrics, and these are solved numerically using forth-order Runge–Kutta methods and ammonium dihydrogen phosphate parameters in its first ordered phase. These calculated results are presented graphically for various frequencies and amplitudes in the applied electric fields. https://www.physcomsys.ru/index.php/physcomsys/article/view/95antiferroelectricsammonium dihydrogen phosphatechaosLandau free energy densitynonlinearPoincare Sections |
| spellingShingle | Сью-Чу Лим Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter Physics of Complex Systems antiferroelectrics ammonium dihydrogen phosphate chaos Landau free energy density nonlinear Poincare Sections |
| title | Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| title_full | Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| title_fullStr | Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| title_full_unstemmed | Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| title_short | Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| title_sort | numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter |
| topic | antiferroelectrics ammonium dihydrogen phosphate chaos Landau free energy density nonlinear Poincare Sections |
| url | https://www.physcomsys.ru/index.php/physcomsys/article/view/95 |
| work_keys_str_mv | AT sʹûčulim numericalsimulationsofnonlinearandchaoticorderparameterresponsesinbulkantiferroelectricsusingammoniumdihydrogenphosphateparameter |