Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Magnetism and Magnetic Materials

One-dimensional Ising chain with generalized molecular field

GERALD J. IAFRATE, Arthur D. Ballato, Michael I. Bell

Published Jun 1, 1979• 3 citations
Publisher
DOI
10.1016/0304-8853(79)90008-8

Related papers

Geometric phase of the one-dimensional Ising chain in a longitudinal field

Yi Liao, Ping‐Xing Chen

arXiv:1809.02976•Physica A Statistical Mechanics and its Applications•Oct 16, 2019•2 citations

From the Classical One-Dimensional Ising Model to the Quantum Ising Chain

Civan Yildirim, Ege Özgün

•Jan 1, 2026•0 citations

One-dimensional Ising system with arbitrary interactions

Norikiyo Uryû, Mitsuru Tanimura

Journal of Magnetism and Magnetic Materials•Feb 1, 1986•0 citations

Generalization of Mean-Field Approximations by the Feynman Inequality and Application to Long-Range Ising Chain

Minoru Takahashi

Mean-field approximations such as molecular field approximation for spin system, Hartree-Fock approximation and BCS approximation for electron system are universally formulated by the Feynman inequality: -β -1 ln Tr exp (-β H ) ≤-β -1 ln Tr exp (-β H 0 )+Tr exp (-β H 0 )( H - H 0 )/Tr exp (-β H 0 ). The method of generalization of mean-field approximation is given. This is applied to the problem of one-dimensional long-range Ising model.

Journal of the Physical Society of Japan•Jun 1, 1981•19 citations

The spectrum of the one-dimensional Ising chain

S A Pirogov

Russian Mathematical Surveys•Dec 31, 1998•0 citations

Pseudo-one-dimensional kinetic Ising model

SLOBODAN ŽUMER

A simple kinetic model of the weakly coupled linear Ising chains is treated. The $\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}$-dependent dynamical susceptibility is obtained, introducing the interchain molecular field into exact one-dimensional solutions. The usual molecular-field-type critical slowing down as $T\ensuremath{\rightarrow}{T}_{c}$ is accompanied by an additional noncritical, highly anisotropic slowing down due to high-intrachain short-range order. For the $\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}=0$ mode the factor of the one-dimensional slowing down goes with decreasing temperature as the square of the one-dimensional correlation length. In the case of a strong anisotropy (${J}_{\ensuremath{\parallel}}\ensuremath{\gg}{J}_{\ensuremath{\perp}}$), this factor surpasses the value of the ratio $\frac{{J}_{\ensuremath{\parallel}}}{{J}_{\ensuremath{\perp}}}$ already well above ${T}_{c}$.

Physical review. B, Condensed matter•Feb 1, 1980•58 citations
A simple kinetic model of the weakly coupled linear Ising chains is treated. The $\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}$-dependent dynamical susceptibility is obtained, introducing the interchain molecular field into exact one-dimensional solutions. The usual molecular-field-type critical slowing down as $T\ensuremath{\rightarrow}{T}_{c}$ is accompanied by an additional noncritical, highly anisotropic slowing down due to high-intrachain short-range order. For the $\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}=0$ mode the factor of the one-dimensional slowing down goes with decreasing temperature as the square of the one-dimensional correlation length. In the case of a strong anisotropy (${J}_{\ensuremath{\parallel}}\ensuremath{\gg}{J}_{\ensuremath{\perp}}$), this factor surpasses the value of the ratio $\frac{{J}_{\ensuremath{\parallel}}}{{J}_{\ensuremath{\perp}}}$ already well above Tc{T}_{c}Tc​.