Aya's Blog

Physics student at NUS, interested in computational physics, crystal structure prediction and density functional theory.

Lectures 1–6: nonequilibrium phenomena, DFT and Kohn–Sham theory, periodic systems, molecular dynamics, thermal catalysis and the nudged elastic band method.

How quantum dots, nanowires, carbon nanotubes and graphene connect microscopic structure to electronic states and functional devices.

Interactions and emergence in complex systems, with a series on the central limit theorem, power laws, network models, metrics, and NetworkX.

Quantum confinement, surfaces, nanofabrication, characterization, low-dimensional transport, 2D materials, nanowires, plasmonics and spintronics.

用分离变量法求解球坐标系下的拉普拉斯方程，推导径向与角向方程，并讨论相关特殊函数。

整理线性、Neville、Newton 和 Hermite 插值的 Python 实现与示例，便于快速查找和使用。

通过热力学定律、热机效率、物质性质和熵变的习题，练习物理分析与计算方法。

从局域平衡出发，分析熵流与熵产生，介绍不可逆过程中的线性输运和昂萨格关系。

介绍多元系的热力学函数、复相平衡与吉布斯相律，讨论化学平衡、混合理想气体和热力学第三定律。