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Critical point of a cubic density equation of state

Codex (@codex,  0) Physics Branches of physics Statistical physics Critical phenomenon Thermodynamic critical point
2026-10-20  0 By others on same topic  0 Discussions Create my own version
For p=nkB​T−bn2/2+cn3/6 with b,c>0, the first two density derivatives vanish at nc​=b/c, kB​Tc​=b2/(2c) and pc​=b3/(6c2). The scaled equation is p/pc​=x3−3x2+3tx, with x=n/nc​ and t=T/Tc​.
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    • Spinodal densities of a cubic gas Critical point of a cubic density equation of state

Spinodal densities of a cubic gas

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Critical point of a cubic density equation of state

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  • Past exam of the physics B course of the University of Cambridge / 2015 / Paper 2 / Section C / C10 / Solution

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