中文版:软物质物理课程笔记

These notes are split by teaching unit. Each page keeps the relevant instructor, core concepts, formulas, and exam cues together instead of placing the whole course into one long page.

Units

Topic Instructor Notes
Introduction: The Challenges, Relevance and Fun of Soft Matter Zhang Hepeng English / 中文
Fluid dynamics Zhang Hepeng English / 中文
Elasticity Zhang Jie English / 中文
Brownian Motion, Thermal Fluctuations and Diffusion Cao Xin English / 中文
Soft Matter Phases Cao Xin English / 中文
Polymers Xu Heng English / 中文
Liquid Crystals Yao Zhenwei English / 中文
Interfaces, Surfaces and Membranes Yao Zhenwei English / 中文

Suggested Review Order

  1. Start with Introduction for the shared language: k_B T, mesoscopic scale, entropy, and fluctuations.
  2. Read Fluid dynamics and Brownian Motion together to connect low-Reynolds-number flow, damping, and diffusion.
  3. Use Elasticity, Polymers, and Liquid Crystals for solid deformation, chain conformation, and orientational order.
  4. Use Soft Matter Phases and Interfaces/Membranes for phase behavior, self-assembly, surfaces, and curved membranes.

Shared Formula Thread

thermal=kBTk_B T sets the fluctuation scale
viscous=σij=−pδij+η(∂ivj+∂jvi)\sigma_{ij}=-p\delta_{ij}+\eta(\partial_i v_j+\partial_j v_i)
elastic=Sij=2μeij+λekkδijS_{ij}=2\mu e_{ij}+\lambda e_{kk}\delta_{ij}
diffusion=⟨Δr2⟩=2dDt\langle\Delta r^2\rangle=2dDt
interfaces=Δp=γ(1R1+1R2)\Delta p=\gamma\left(\frac{1}{R_1}+\frac{1}{R_2}\right)