The Solid-on-Solid Surface Width Around the Roughening Transition

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dc.creatorEvertz, H. G.
dc.creatorHasenbusch, M.
dc.creatorMarcu, M.
dc.creatorPinn, K.
dc.date1993-05-24
dc.date.accessioned2026-07-07T03:06:51Z
dc.date.available2026-07-07T03:06:51Z
dc.descriptionWe investigate the surface width $W$ of solid-on-solid surfaces in the vicinity of the roughening temperature $T_r$. Above $T_r$, $W^2$ is expected to diverge with the system size $L$ like $\ln L$. However, close to $T_r$ a clean $\ln{L}$ behavior can only be seen on extremely large lattices. Starting from the Kosterlitz-Thouless renormalization group, we derive an improved formula that describes the small $L$ behavior on both sides of $T_r$. For the Discrete Gaussian model, we used the valleys-to-mountains-reflections cluster algorithm in order to simulate the fluctuating solid-on-solid surface. The base plane above which the surface is defined is an $L \times L$ square lattice. In the simulation we took $8\leq L\leq 256$. The improved formula fits the numerical results very well. {}From the analysis, we estimate the roughening temperature to be $T_r = 0.755(3)$.
dc.description9 pages, LaTeX (no figures), FSU-SCRI-93-67, CERN-TH.6893/93
dc.identifierhttps://arxiv.org/abs/cond-mat/9305029
dc.identifierhttp://arxiv.org/abs/cond-mat/9305029
dc.identifierPhysica A199 (1993) 31-39
dc.identifierdoi:10.1016/0378-4371(93)90094-K
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26964
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.titleThe Solid-on-Solid Surface Width Around the Roughening Transition
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