在薄膜铁电材料中探索单离子溶液和混乱分析
Peng Guo1, Guangyang Wang1, Jianming Qi1
1School of Business, Shanghai DianJi University, Shanghai 201306, People's Republic of China.
Chaos (Woodbury, N.Y.)
|March 19, 2025
概括
本研究使用分数计算分析了薄膜铁电材料方程 (TFFEME). 发现了各种各样的单离子解决方案,提高了对先进设备应用的铁电薄膜的理解.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 材料科学 材料科学 材料科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 铁电薄膜对于非易失性记忆,传感器和执行器至关重要.
- 薄膜铁电材料方程 (TFFEME) 建模了它们的行为,指导了设备的优化.
- 了解内部物理过程是提高设备性能的关键.
研究的目的:
- 通过使用分数计算来导出TFFEME的多种单子解.
- 分析铁电薄膜中的极化动态和混乱.
- 调查物理参数和分数衍生形式对单子传播的影响.
主要方法:
- 用修改的 (G'G2) 扩展方法应用β分数导数.
- 将TFFEME转换为用于平面动力学分析的哈密尔顿结构.
- 切比舍夫节点的巴里中心拉格朗日插值方法用于精确的数值解决方案.
主要成果:
- 为了TFFEME,成功地获得了多种单离子溶液.
- 获得了对极化动态和混乱分析的洞察力.
- 研究了物理参数和微分衍生形式对单子传播的影响.
结论:
- 该研究扩大了对TFFEME解决方案框架的理解.
- 这些发现为改善铁电材料性能和设备设计提供了基础.
- 数字解决方案验证模型,指导未来的铁电薄膜应用中的实验.
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