自回避的栓塞表面始终是平坦的
Self-avoiding tethered surfaces are always flat
AI总结：
研究显示，即使在无弯曲刚度的情况下，自回避栓塞表面在热力学极限下仍保持平坦，尺寸指数为ν=1。
摘要：
完全柔性的弹性栓塞表面的标度行为已经争论了数十年。一些理论预测，在没有弯曲刚度的情况下，自回避表面会皱褶，而大多数模拟则表明它们会保持平坦。最近对理想膜片带有晶格孔隙的模拟表明，系统性地从膜片上移除表面积可能提供了一种另一种皱褶自回避表面的方法。我们对两种完全柔性的弹性栓塞表面模型进行了广泛的数值模拟，其中自回避可以系统地和连续地调节到理想极限。我们证明，在热力学极限下，这些表面无论是否有膜片孔隙，只要自回避程度有限，其尺寸指数ν=1，保持平坦。
英文摘要：
The scaling behavior of fully flexible elastic tethered surfaces has been debated for decades. Some theories predict that self-avoiding surfaces would crumple in the absence of bending rigidity, while most simulations suggested that they would remain flat. Recent simulations on ideal membranes with lattice perforations suggest that systematically removing surface area from a membrane may provide an alternative way to crumpling self-avoiding surfaces. We perform extensive numerical simulations of two models of fully flexible elastic tethered surfaces in which self-avoidance can be systematically and continuously tuned to the ideal limit. We show that in the thermodynamic limit, these surfaces remain flat with a size exponent $ν=1$ for any finite degree of self-avoidance, with or without membrane perforations.
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