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arXiv · 1206.5062

Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality

Tomoaki Nogawa·Takehisa Hasegawa·Koji Nemoto
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Abstract

We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network, where a saddle-node bifurcation of the renormalization-group fixed point governs the essential singularity.

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Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto. 2012-06-22. Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality. https://doi.org/10.1103/physrevlett.108.255703

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