A quasi-exact formula for Ising critical temperatures on hypercubic lattices

✍ Scribed by Serge Galam; Alain Mauger

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 169 KB
• Volume: 235
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(96)00353-6

✦ Synopsis

We report a quasi-exact power law behavior for Ising critical temperatures on hypercubes. It reads J/ksT~=Ko[(1-1/d)(q-1 )]a where K0=0.6260356, a=0.8633747, d is the space dimension, q the coordination number (q = 2d), J the coupling constant, ks the Boltzman constant and Tc the critical temperature. Absolute errors from available exact estimates (d=2-7) are always less than 0.0005. Extension to other lattices is discussed.