A Renormalization Scheme and Skewness of Height Fluctuations in (1+1)-dimensional VLDS Dynamics
Singha, Tapas · Nandy, Malay K.
Original · EN
We study the (1+1)-dimensional Villain, Lai, and Das Sarma (VLDS) equation driven by a Gaussian white noise and implement a renormalization scheme without rescaling at one-loop order. Using a diagrammatic method, we calculate the renormalized second and third moments in the large-scale and long-time limits. The ensuing skewness value is S=-0.0441. This (negative) value is consistent with the numerical prediction of Das Sarma et al. [Phys. Rev. E 53 359 (1996)].
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