Universität zu Köln

Dashti-Naserabadi, Hor, Saberi, Abbas Ali ORCID: 0000-0001-8864-4748, Rahbari, S. H. E. and Park, Hyunggyu ORCID: 0000-0002-0263-9153 (2019). Two-dimensional super-roughening in the three-dimensional Ising model. Phys. Rev. E, 100 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

We present a random-interface representation of the three-dimensional (3D) Ising model based on thermal fluctuations of a uniquely defined geometric spin cluster in the 3D model and its 2D cross section. Extensive simulations have been carried out to measure the global interfacial width as a function of temperature for different lattice sizes which is shown to signal the criticality of the model at T-c by forming a size-independent cusp in 3D, along with an emergent super-roughening at its 2D cross section. We find that the super-rough state is accompanied by an intrinsic anomalous scaling behavior in the local properties characterized by a set of geometric exponents which are the same as those for a pure 2D Ising model.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Dashti-Naserabadi, Hor UNSPECIFIED UNSPECIFIED UNSPECIFIED Saberi, Abbas Ali UNSPECIFIED orcid.org/0000-0001-8864-4748 UNSPECIFIED Rahbari, S. H. E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Park, Hyunggyu UNSPECIFIED orcid.org/0000-0002-0263-9153 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-124441
DOI:	10.1103/PhysRevE.100.060101
Journal or Publication Title:	Phys. Rev. E
Volume:	100
Number:	6
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PHASE-SEPARATION LINE; MONTE-CARLO; ROUGHENING TRANSITION; 3 DIMENSIONS; INTERFACE; PERCOLATION; GROWTH Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12444