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arXiv · 0910.5071

Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions

Ken-Ichi Aoki·Tamao Kobayashi·Hiroshi Tomita
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Abstract

We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its exponent for the logarithm of the susceptibility. We find criticality in the form of a zeta function singularity. As an example, we present results for a long-range Ising model.

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Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita. 2009-10-29. Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions. https://doi.org/10.1143/ptp.119.509

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