Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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2012-03-18

Physics

Condensed Matter

Statistical Mechanics

13 pages, 6 figures

Scientific paper

An equilibrium random surface multistep height model proposed in [Abraham and Newman, EPL, 86, 16002 (2009)] 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.

**Abraham Douglas**

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientist

**Deng Youjin**

Physics – Condensed Matter – Statistical Mechanics

Scientist

**Drake Matthew**

Physics – Condensed Matter – Statistical Mechanics

Scientist

**Machta Jon**

Physics – Popular Physics

Scientist

**Newman Charles**

Mathematics – Probability

Scientist

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