摘要翻译:
利用Monte Carlo模拟研究了二聚体在结构有序度不同的二元合金上随机顺序吸附的干扰和渗流过程。利用合金与伊辛模型(守恒序参量)的同构关系,得到了等摩尔混合物作为衬底。然后,混合物的退火温度$T$是一个连续的参数,它表征了不同的衬底组,形成了沉积过程。当合金在Onsager临界温度($t_{c}$)处发生有序-无序相变时,沉积在衬底上的二聚体的干扰和渗滤特性发生了不小的变化。这些都反映在一个密度-温度相图中,该相图有三个明确定义的区域。我们发现,对于$T<T^*=1.22T_{c}$来说,干扰的发生阻止了渗滤团簇的发生,而对于$T>T^{*}$来说,渗滤团簇是可能的。特别的关注集中在$t^{*}$附近,在这里干扰和渗滤之间的相互作用限制了波动,迫使指数似乎不同于标准的渗滤普遍性类别。与热转变类似,我们用{It温度}(在本例中是衬底退火温度)作为控制参数来研究渗流的开始。通过提出热标度分析,我们分析了渗流阈值及其热致涨落的行为。此外,还确定了渗流团簇的分形维数。基于这些测量和优秀的数据崩溃,我们得出结论,标准渗流的普遍性类别对所有温度都保持不变。
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英文标题:
《Interplay between thermal percolation and jamming upon dimer adsorption
on binary alloys》
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作者:
Ernesto S. Loscar, R. A. Borzi, Ezequiel V. Albano
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
Using Monte Carlo simulations we study jamming and percolation processes upon the random sequential adsorption of dimers on binary alloys with different degrees of structural order. We obtain the equimolar mixtures used as substrates by applying the isomorphism between an alloy and the Ising model (conserved order parameter). The annealing temperature $T$ of the mixture then is a continuous parameter that characterizes the different sets of substrates, shaping the deposition process. As the alloy undergoes an order-disorder phase transition at the Onsager critical temperature ($T_{c}$), the jamming and percolating properties of the dimers deposited over the substrate are subjected to non-trivial changes. These are reflected in a density-temperature phase diagram with three well-defined regions. We find that for $T < T^* = 1.22 T_{c}$ the occurrence of jamming prevents the onset of percolating clusters, while percolation is possible for $T > T^{*}$. Particular attention is focused close to $T^{*}$, where the interplay between jamming and percolation restricts fluctuations, forcing exponents seemingly different from the standard percolation universality class. By analogy with a thermal transition, we study the onset of percolation by using the {\it temperature} (in this case, the substrate annealing temperature) as a control parameter. By proposing thermal scaling Ansatzes we analyze the behavior of the percolation threshold and its thermally induced fluctuations. Also, the fractal dimension of the percolating cluster is determined. Based on these measurements and the excellent data collapsing, we conclude that the universality class of standard percolation is preserved for all temperatures.
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PDF链接:
https://arxiv.org/pdf/706.0562


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