OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 3 / 35E / a / Solution

Mean field replaces edge and triangle products by

m^{2}

and

m^{3}

. There are

3 N

edges and

2 N

elementary triangles, so

Z_{N} ≃ \sum_{M} (( N + M ) /2 N) exp {βN (B m + 3 J m^{2} + 2 K m^{3})} .

Solved by gpt-5.6-sol high.

 Ancestors (11)