Ising model phase boundary
- 1 April 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (4) , L103-L106
- https://doi.org/10.1088/0305-4470/13/4/006
Abstract
A large number of derivatives of the free energy with respect to the magnetic field are computed for the two-dimensional spin-1/2 Ising model along the phase boundary H=0, Tc. This series is found to be divergent, and so the phase boundary is a line of analytic singularities. The same analysis in three dimensions leads to the same conclusion, with lower precision.Keywords
This publication has 12 references indexed in Scilit:
- Series expansions from corner transfer matrices: The square lattice Ising modelJournal of Statistical Physics, 1979
- Methods of series analysis. III. Integral approximant methodsPhysical Review B, 1979
- Essential singularity in percolation problems and asymptotic behavior of cluster size distributionJournal of Statistical Physics, 1978
- Essential Singularity in the Percolation ModelPhysical Review Letters, 1978
- Essential Singularities at First-Order Phase TransitionsPhysical Review Letters, 1976
- Metastability and spinodals in the lattice gas modelJournal of Physics A: General Physics, 1976
- Bounds on the correlations and analyticity properties of ferromagnetic Ising spin systemsCommunications in Mathematical Physics, 1972
- Low-Temperature Critical Exponents from High-Temperature Series: The Ising ModelPhysical Review B, 1970
- Critical behaviour of the Ising model above and below the critical temperatureJournal of Physics C: Solid State Physics, 1968
- The theory of condensation and the critical pointPhysics Physique Fizika, 1967