Monte Carlo critical isotherms for Ising lattices

Details Monte Carlo critical isotherms for Ising lattices Monte Carlo critical isotherms for Ising lattices

2003-04-02

arxiv.org/abs/cond-mat/0304056v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures. Sent to Europhysics Letters

Scientific paper

10.1016/S0378-4371(03)00362-5

Monte Carlo investigations of magnetization versus field, $M_c(H)$, at the critical temperature provide direct accurate results on the critical exponent $\delta^{-1}$ for one, two, three and four-dimensional lattices: $\delta_{1D}^{-1}$=0, $\delta_{2D}^{-1}$=0.0666(2)$\simeq$1/15, $\delta_{3D}^{-1}$=0.1997(4)$\simeq$1/5, $\delta_{4D}^{-1}$=0.332(5)$\simeq$1/3. This type of Monte Carlo data on $\delta$, which is not easily found in studies of Ising lattices in the current literature, as far as we know, defines extremely well the numerical value of this exponent within very stringent limits.

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