The roughening transition of the three-dimensional Ising interface: A Monte Carlo study

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02174211· OSTI ID:441460

Hasenbusch, M ^[1]; Meyer, S; Puetz, M ^[2]

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1. DAMTP, Cambridge (United Kingdom)
2. Universitaet Kaiserslautern (Germany)

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite-size scaling method. The particular method has recently been proposed and successfully tested for various solid-on-solid models. The basic idea is the matching of the renormalization-groupflow of the interface with that of the exactly solvable body-centered cubic solid-on-solid model. We unambiguously confirm the Kosterlitz-Thouless nature of the roughening transition of the Ising interface. Our result for the inverse transition temperature K{sub R} = 0.40754(5) is almost two orders of magnitude more accurate than the estimate of Mon, Landau, and Stauffer.

• Sponsoring Organization: USDOE
• OSTI ID: 441460
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 3-4 Vol. 85; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
INTERFACES
ISING MODEL
MONTE CARLO METHOD
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
THREE-DIMENSIONAL CALCULATIONS