Generalized Scaling Theory for Critical Phenomena Including Essential Singularities and Infinite Dimensionality


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/50156

Title:	Generalized Scaling Theory for Critical Phenomena Including Essential Singularities and Infinite Dimensionality
Authors:	Nogawa, Tomoaki Browse this author
	Hasegawa, Takehisa Browse this author
	Nemoto, Koji Browse this author →KAKEN DB
Issue Date:	22-Jun-2012
Publisher:	American Physical Society
Journal Title:	Physical Review Letters
Volume:	108
Issue:	25
Start Page:	255703
Publisher DOI:	10.1103/PhysRevLett.108.255703
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.
Rights:	© 2012 American Physical Society
Type:	article
URI:	http://hdl.handle.net/2115/50156
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 根本幸児

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