Files
curriculum-project-hub/examples/TH-141/segments/固液界面能的物理图像/textbook.typ
T
sjfhsjfh c73a2c903f feat(examples): migrate TH-141 sample to declarative layout (WU-6)
Real-content fixture for the end-to-end pipeline. TH-141 (39 parts: 22 segment,
15 lemma, 2 example) migrated from the prototype's typst `#let parts` manifest
to ADR-0008: declarative manifest.toml (project+info+ordered parts+targets) +
per-element element.toml (kind + scalars; examples carry `source`). Content .typ
files copied byte-identical (no math corruption); per-element main.typ + meta.toml
dropped (wiring is now generated). Part order matches source exactly; 5 lemmas
have no proof.typ (optional); no cross-file imports / paralearn refs / figs.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-22 01:33:40 +08:00

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Typst

把固体与液体贴在一起形成固液界面时,固体表面原子损失部分同种近邻(固–固键),同时获得异种近邻(固–液相互作用)。$gamma_(S L)$ 是这两个效应的净结果:若异种作用恰好补偿同种损失,则 $gamma_(S L) = 0$;若异种作用很弱,则 $gamma_(S L)$ 大。
仅有缺键模型 @缺键一般式 已不够用——它只算了"损失同种键"那一半,没算"获得异种键"那一半。固液界面建模真正的难点在于异种相互作用怎么估。下面用 Dupré 关系把 $gamma_(S L)$ 改写为粘附功 $W_(S L)$,再用 Berthelot 规则估 $W_(S L)$,从而绕过对异种相互作用的直接计算。