Abstract
The existence of "critical" slowing down at the roughening transition in Monte Carlo simulations of both the kinetic solid-on-solid model and discrete Gaussian model is reported. Comparison with critical behavior at the more usual second-order phase transitions shows both similarities and differences that shed light on the nature of the roughening transition. The roughening temperature is found to be kBTR=(1.15±0.05)ε for the solid-on-solid model.

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