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

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

2009-10-27

arxiv.org/abs/0910.5071v2

Prog. Theor. Phys. 119-3 (2008), 509-514

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

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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