D S Gaunt and C Domb 1968 J. Phys. C: Solid State Phys. 1 1038 doi:10.1088/0022-3719/1/4/322
The specific heat of the three-dimensional Ising model below Tc
D S Gaunt and C Domb
Show affiliationsA representation for the specific heat below Tc of a three-dimensional Ising ferromagnet (or fluid) is constructed. On expansion, it yields the first twelve terms of the exact low-temperature series for the tetrahedral lattice, and behaves asymptotically as
where αprime = fraction one-eighth, A- = 0
20 and B- = 013. However, such behaviour is only becoming evident at t identical with 1 - T/Tc similar, equals 10-4. Indeed, from t similar, equals 4 × 10-2 to 4 × 10-4, CH appears to be increasing roughly logarithmically.
The specific heat of the Ising model is compared directly with experimental results for four `classical' fluids and three Ising-like antiferromagnets. Difficulties in establishing experimental values for the critical exponent αprime are discussed.
A simple explanation is proposed of why the `rounding-off', observed in most magnetic transitions, is often more pronounced below Tc.
- PACS
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75.10.Hk Classical spin models
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
- Subjects
- Dates
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Issue 4 (August 1968)
Received 15 February 1968
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The specific heat of the three-dimensional Ising model below Tc
D S Gaunt and C Domb 1968 J. Phys. C: Solid State Phys. 1 1038
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