Computational study of a multistep height model

Matthew Drake, Jonathan MacHta, Youjin Deng, Douglas Abraham, Charles Newman

Research output: Contribution to journalArticle

Abstract

An equilibrium random surface multistep height model proposed in is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter, the Coulomb gas coupling, to the exponents of the O(n) loop model on the honeycomb lattice with n≤1.

Original languageEnglish (US)
Article number061104
JournalPhysical Review E
Volume85
Issue number6
DOIs
StatePublished - Jun 4 2012

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exponents
Critical Exponents
Ising model
Ising Model
Coulomb Gas
Random Surfaces
worms
Worm
Honeycomb
Critical Temperature
Model
critical temperature
Exponent
estimates
gases
Estimate

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Computational study of a multistep height model. / Drake, Matthew; MacHta, Jonathan; Deng, Youjin; Abraham, Douglas; Newman, Charles.

In: Physical Review E, Vol. 85, No. 6, 061104, 04.06.2012.

Research output: Contribution to journalArticle

Drake, Matthew ; MacHta, Jonathan ; Deng, Youjin ; Abraham, Douglas ; Newman, Charles. / Computational study of a multistep height model. In: Physical Review E. 2012 ; Vol. 85, No. 6.
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