论文标题
蒙特卡洛研究Blume-Capel模型的界面吸附
Monte Carlo study of the interfacial adsorption of the Blume-Capel model
论文作者
论文摘要
我们使用Monte Carlo模拟研究了二维Blume-Capel模型的界面吸附的尺度。特别是，我们研究了纯模型在其一阶和二阶过渡方案以及三范围点附近的界面吸附的有限尺寸缩放行为。我们的分析受益于当前现有的相关（TRI）关键点位置的非常准确的估计。在所有研究的情况下，数值结果均验证了高精度的水平，预期的场景来自分析自由能缩放参数。我们还研究了在最初的一阶转变状态（障碍诱导的连续过渡）和系统的相关自我平均特性下，在存在淬灭键随机性下的界面吸附的大小依赖性。对于显示出强瞬态效应存在的前一阶制度，我们的发现支持了非发散缩放的场景，类似于纯模型的原始二阶过渡方案中发现的情况。
We investigate the scaling of the interfacial adsorption of the two-dimensional Blume-Capel model using Monte Carlo simulations. In particular, we study the finite-size scaling behavior of the interfacial adsorption of the pure model at both its first- and second-order transition regimes, as well as at the vicinity of the tricritical point. Our analysis benefits from the currently existing quite accurate estimates of the relevant (tri)critical-point locations. In all studied cases, the numerical results verify to a level of high accuracy the expected scenarios derived from analytic free-energy scaling arguments. We also investigate the size dependence of the interfacial adsorption under the presence of quenched bond randomness at the originally first-order transition regime (disorder-induced continuous transition) and the relevant self-averaging properties of the system. For this ex-first-order regime, where strong transient effects are shown to be present, our findings support the scenario of a non-divergent scaling, similar to that found in the original second-order transition regime of the pure model.
