Derivation of High Temperature Series Expansions: Ising Model

1982 ◽  
pp. 247-270
Author(s):  
Sati McKenzie
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Temperature Series ◽  
Series Expansions

Computer-aided generation of high-temperature series expansions for mixed-spin Ising model ferrimagnets

1995 ◽  
Vol 140-144 ◽  
pp. 1513-1514 ◽  
Author(s):  
G.J.A. Hunter ◽  
C.W. Evans ◽  
R.C.L. Jenkins ◽  
C.J. Tinsley ◽  
E.W. Wynn
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Temperature Series ◽  
Series Expansions ◽  
Mixed Spin ◽  
Computer Aided

scholarly journals The bulk, surface and corner free energies of the anisotropic triangular Ising model

2020 ◽  
Vol 476 (2234) ◽  
pp. 20190713
Author(s):  
Rodney J. Baxter
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Partition Function ◽  
Temperature Series ◽  
Isotropic Case ◽  
Series Expansions ◽  
Exact Results ◽  
Free Energies ◽  
Bulk Surface ◽  
Bulk Free Energy

We consider the anisotropic Ising model on the triangular lattice with finite boundaries, and use Kaufman’s spinor method to calculate low-temperature series expansions for the partition function to high order. From these, we can obtain 108-term series expansions for the bulk, surface and corner free energies. We extrapolate these to all terms and thereby conjecture the exact results for each. Our results agree with the exactly known bulk-free energy and with Cardy and Peschel’s conformal invariance predictions for the dominant behaviour at criticality. For the isotropic case, they also agree with Vernier and Jacobsen’s conjecture for the 60 ° corners.

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