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Two-Spin Correlation Functions of an Ising Model with Continuous Exponents

1980; American Physical Society; Volume: 44; Issue: 13 Linguagem: Inglês

10.1103/physrevlett.44.840

1092-0145

Barry M. McCoy, Jacques H. H. Perk,

Opinion Dynamics and Social Influence

An Ising model on a square lattice is studied, where one row of horizontal bonds has an energy ${{E}_{1}}^{\ensuremath{'}}$ different from all other horizontal bonds. The correlation of two spins is calculated in this row, resulting in exponents $\ensuremath{\beta}$ and $\ensuremath{\eta}$ which depend on ${{E}_{1}}^{\ensuremath{'}}$. The long-distance behavior of the correlation for fixed $T\ensuremath{\ne}{T}_{c}$ is found to have different forms depending upon the value of ${{E}_{1}}^{\ensuremath{'}}$.