Albano Ezequiel V, Luque Luciana, Trobo Marta L, Binder Kurt
Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), CCT-CONICET La Plata, UNLP, Calle 59 Nro. 789, (1900) La Plata, Argentina and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Argentina.
Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), CCT-CONICET La Plata, UNLP, Calle 59 Nro. 789, (1900) La Plata, Argentina and Departamento de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata, Argentina.
Phys Rev E. 2017 Feb;95(2-1):022801. doi: 10.1103/PhysRevE.95.022801. Epub 2017 Feb 1.
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)PRLTAO0031-900710.1103/PhysRevLett.109.036101] establishes that the average magnetization of the sample, with critical exponent β, is the proper order parameter for the study of wetting. While the hyperscaling relationship given by γ+2β=ν_{∥}+ν_{⊥} requires β=1/2 (γ=4, ν_{∥}=3, and ν_{⊥}=2), the thermodynamic scaling establishes that Δ_{s}=γ+β, which in contrast requires β=0 (Δ_{s}=4), where γ, ν_{∥}, ν_{⊥}, and Δ_{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., β=0) and a direct measurement of the susceptibility critical exponent γ/ν_{⊥}=2.0±0.2, in agreement with theoretical results for the strong fluctuation regime of wetting transitions with quenched noise.
我们对处于有竞争表面场作用的壁之间的随机键伊辛模型进行了广泛模拟。通过恰当地取热力学极限，我们明确确定了系统的润湿转变点，作为由各自场驱动的不同取向畴之间界面的局域化 - 非局域化转变的外推。具有短程场的润湿有限尺寸标度理论[E. V. 阿尔巴诺和K. 宾德，《物理评论快报》109, 036101 (2012年)PRLTAO0031 - 900710.1103/PhysRevLett.109.036101]表明，具有临界指数β的样品平均磁化强度是研究润湿的合适序参量。虽然由γ + 2β = ν∥ + ν⊥给出的超标度关系要求β = 1/2(γ = 4, ν∥ = 3, 且ν⊥ = 2)，但热力学标度表明Δs = γ + β，这反而要求β = 0(Δs = 4)，其中γ、ν∥、ν⊥和Δs分别是磁化率、平行和垂直于界面的关联长度以及能隙指数的临界指数。因此，我们制定了一个无超标度的润湿有限尺寸标度理论，并进行了数值模拟，这些模拟提供了超标度违反(即β = 0)的有力证据以及磁化率临界指数γ/ν⊥ = 2.0±0.2的直接测量结果，这与具有淬火噪声的润湿转变强涨落 regime的理论结果一致。
