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• W2585935040 abstract "We performed extensive simulations of the random-bond Ising model confined between walls where competitive surface fields act. By properly taking the thermodynamic limit we unambiguously determined wetting transition points of the system, as extrapolation of localization-delocalization transitions of the interface between domains of different orientation driven by the respective fields. The finite-size scaling theory for wetting with short-range fields [E. V. Albano and K. Binder, Phys. Rev. Lett. 109, 036101 (2012)] establishes that the average magnetization of the sample, with critical exponent $ensuremath{beta}$, is the proper order parameter for the study of wetting. While the hyperscaling relationship given by $ensuremath{gamma}+2ensuremath{beta}={ensuremath{nu}}_{ensuremath{parallel}}+{ensuremath{nu}}_{ensuremath{perp}}$ requires $ensuremath{beta}=1/2$ ($ensuremath{gamma}=4, {ensuremath{nu}}_{ensuremath{parallel}}=3$, and ${ensuremath{nu}}_{ensuremath{perp}}=2$), the thermodynamic scaling establishes that ${mathrm{ensuremath{Delta}}}_{s}=ensuremath{gamma}+ensuremath{beta}$, which in contrast requires $ensuremath{beta}=0$ (${mathrm{ensuremath{Delta}}}_{s}=4$), where $ensuremath{gamma}, {ensuremath{nu}}_{ensuremath{parallel}}, {ensuremath{nu}}_{ensuremath{perp}}$, and ${mathrm{ensuremath{Delta}}}_{s}$ are the critical exponents of the susceptibility, the correlation lengths parallel and perpendicular to the interface, and the gap exponent, respectively. So, we formulate a finite-size scaling theory for wetting without hyperscaling and perform numerical simulations that provide strong evidence of hyperscaling violation (i.e., $ensuremath{beta}=0$) and a direct measurement of the susceptibility critical exponent $ensuremath{gamma}/{ensuremath{nu}}_{ensuremath{perp}}=2.0ifmmodepmelsetextpmfi{}0.2$, in agreement with theoretical results for the strong fluctuation regime of wetting transitions with quenched noise." @default.
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• W2585935040 date "2017-02-01" @default.
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• W2585935040 title "Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model ind=2dimensions" @default.
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• W2585935040 doi "https://doi.org/10.1103/physreve.95.022801" @default.
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