Physica A Statistical Mechanics and its Applications

Comments on the critical behavior of isotropic spin systems with long- and short-range interactions

Y. Yamazaki

Published Jul 1, 1978• 8 citations

Publisher

DOI: 10.1016/0378-4371(78)90143-7

Related papers

Critical behaviour of isotropic spin systems with long- and short-range interactions

Y. Yamazaki

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fieldsJan 1, 19806 citations

Critical exponent η of isotropic spin systems with long and short-range interactions

Yoshitake Yamazaki

Physics Letters AMay 1, 197714 citations

Critical behavior of anisotropic cubic systems with long- and short-range interactions

Yoshitake Yamazaki, Arno Holz

Physica A Statistical Mechanics and its ApplicationsDec 1, 19812 citations

Critical behavior in random-spin systems with long-range interactions

Yoshitake Yamazaki

Physica A Statistical Mechanics and its ApplicationsMar 1, 19787 citations

Phase Transitions in Long-Range Ferromagnetic Chains

J. Michael Kosterlitz

Physical Review LettersDec 6, 1976244 citations

Critical behavior of an isotropic spin system

Anthony John Guttmann, G S Joyce, Colin J. Thompson

Physics Letters AFeb 1, 197212 citations

Physica A Statistical Mechanics and its Applications

Comments on the critical behavior of isotropic spin systems with long- and short-range interactions

Y. Yamazaki

Published Jul 1, 1978• 8 citations

Publisher

DOI: 10.1016/0378-4371(78)90143-7

Related papers

Critical behaviour of isotropic spin systems with long- and short-range interactions

Y. Yamazaki

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fieldsJan 1, 19806 citations

Critical exponent η of isotropic spin systems with long and short-range interactions

Yoshitake Yamazaki

Physics Letters AMay 1, 197714 citations

Critical behavior of anisotropic cubic systems with long- and short-range interactions

Yoshitake Yamazaki, Arno Holz

Physica A Statistical Mechanics and its ApplicationsDec 1, 19812 citations

Critical behavior in random-spin systems with long-range interactions

Yoshitake Yamazaki

Physica A Statistical Mechanics and its ApplicationsMar 1, 19787 citations

Phase Transitions in Long-Range Ferromagnetic Chains

J. Michael Kosterlitz

The critical behavior of one-dimensional ferromagnetic chains with isotropic long-range interactions between $n$ -component spins is investigated near the critical range of ${r}^{\ensuremath{-}2}$. Different formulations of the renormalization group are used for $n>1$ and $n=1$ . It is shown that the behavior is quite different in the two cases, with very close analogies to the short-range problem near two dimensions. Critical exponents are calculated to first order.The critical behavior of one-dimensional ferromagnetic chains with isotropic long-range interactions between $n$-component spins is investigated near the critical range of ${r}^{\ensuremath{-}2}$. Different formulations of the renormalization group are used for $n>1$ and $n=1$. It is shown that the behavior is quite different in the two cases, with very close analogies to the short-range problem near two dimensions. Critical exponents are calculated to first order.

Physical Review LettersDec 6, 1976244 citations

Critical behavior of an isotropic spin system

Anthony John Guttmann, G S Joyce, Colin J. Thompson

Physics Letters AFeb 1, 197212 citations

The critical behavior of one-dimensional ferromagnetic chains with isotropic long-range interactions between

n

-component spins is investigated near the critical range of ${r}^{\ensuremath{-}2}$. Different formulations of the renormalization group are used for

n>1

and

n=1

. It is shown that the behavior is quite different in the two cases, with very close analogies to the short-range problem near two dimensions. Critical exponents are calculated to first order.