TY - JOUR
T1 - Computational study of a multistep height model
AU - Drake, Matthew
AU - MacHta, Jonathan
AU - Deng, Youjin
AU - Abraham, Douglas
AU - Newman, Charles
PY - 2012/6/4
Y1 - 2012/6/4
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.85.061104
DO - 10.1103/PhysRevE.85.061104
M3 - Article
AN - SCOPUS:84862199542
SN - 1539-3755
VL - 85
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 061104
ER -