Monte carlo study of the axial next-nearest-neighbor Ising model.
Abstract
The equilibrium phase behavior of microphase-forming systems is notoriously difficult
to obtain because of the extended metastability of the modulated phases. We develop
a simulation method based on free-energy integration that surmounts this problem and
with which we describe the modulated regime of the canonical three-dimensional axial
next-nearest-neighbor Ising model. Equilibrium order parameters are obtained and the
critical behavior beyond the Lifshitz point is examined. The absence of widely extended
bulging modulated phases illustrates the limitations of various approximation schemes
used to analyze microphase-forming models.
Type
Journal articlePermalink
https://hdl.handle.net/10161/12595Published Version (Please cite this version)
10.1103/PhysRevLett.104.195703Publication Info
Zhang, Kai; & Charbonneau, Patrick (2010). Monte carlo study of the axial next-nearest-neighbor Ising model. Phys Rev Lett, 104(19). pp. 195703. 10.1103/PhysRevLett.104.195703. Retrieved from https://hdl.handle.net/10161/12595.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
Collections
More Info
Show full item recordScholars@Duke
Patrick Charbonneau
Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation
to understand the glass problem, protein crystallization, microphase formation, and colloidal
assembly in external fields.
kai zhang
Assistant Professor of Chemistry at Duke Kunshan University
https://scholar.google.com/citations?user=AwLpbdkAAAAJ&hl=en
Alphabetical list of authors with Scholars@Duke profiles.

Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info