A two-dimensional $n$ -component spin model with cubic or isotropic symmetry is mapped onto a solid-on-solid model. Subject to some plausible assumptions this leads to an analytic calculation of the critical point and some critical indices for $\ensuremath{-}2<~n<~2$.A two-dimensional $n$-component spin model with cubic or isotropic symmetry is mapped onto a solid-on-solid model. Subject to some plausible assumptions this leads to an analytic calculation of the critical point and some critical indices for $\ensuremath{-}2<~n<~2$.

Physical Review LettersOct 11, 19821,010 citations

PHASE TRANSITIONS IN THE TWO-DIMENSIONAL O(3) MODEL

Henk W. J. Blöte, Wenan Guo

APCTP-Nankai Joint Symposium on Lattice Statistics and Mathematical PhysicsNov 1, 20020 citations

Kadanoff block transformation by the Monte Carlo technique

Zvi Friedman, J. Felsteiner

A program combining the Monte Carlo technique and the Kadanoff block transformation is carried out for the Ising model in two and three dimensions, and the critical point and the critical indices $\ensuremath{\nu}$ and $\ensuremath{\delta}$ are obtained. A sequence of approximations seems to converge to the exact Onsager result in two dimensions, although the convergence of $\ensuremath{\nu}$ is rather slow. In three dimensions, the numbers obtained seem to tend towards the results from exact series expansions.A program combining the Monte Carlo technique and the Kadanoff block transformation is carried out for the Ising model in two and three dimensions, and the critical point and the critical indices $\ensuremath{\nu}$ and $\ensuremath{\delta}$ are obtained. A sequence of approximations seems to converge to the exact Onsager result in two dimensions, although the convergence of $\ensuremath{\nu}$ is rather slow. In three dimensions, the numbers obtained seem to tend towards the results from exact series expansions.

Physical review. B, Solid stateJun 1, 197742 citations

Non-equilibrium critical behavior of O(n)-symmetric systems

Uwe Claus Täuber, J.E. Santos, Zoltàn Ràcz

The European Physical Journal BJan 1, 199917 citations

A two-dimensional

n

-component spin model with cubic or isotropic symmetry is mapped onto a solid-on-solid model. Subject to some plausible assumptions this leads to an analytic calculation of the critical point and some critical indices for $\ensuremath{-}2<~n<~2$.