倾斜序对固定连接面模型相变的可能影响
Possible effects of tilt order on phase transitions of a fixed connectivity surface model
摘要：
我们研究的相位结构的幻影拴系表面模型上的内部自由度（IDOF），这对应于三维棒状结构的脂质分子的光。所谓的倾斜阶被假定为表面模型上的IDOF。该模型是由传统的球面模型和XY模型相结合，它不仅描述了脂质之间的相互作用，而且脂质和表面之间的相互作用定义。IDOF和表面之间的相互作用强度根据IDOF变量之间的相互作用强度而变化。我们知道，没有IDOF的模型经历了表面涨落的一级跃迁和一级坍缩跃迁。我们观察到，在本文中的顺序从一阶到二阶和更高阶的变化与IDOF变量之间的相互作用的强度。相反，崩溃过渡的顺序仍然是一阶的，并不受IDOF的存在。
英文摘要：
We study the phase structure of a phantom tethered surface model shedding light on the internal degrees of freedom (IDOF), which correspond to the three-dimensional rod like structure of the lipid molecules. The so-called tilt order is assumed as IDOF on the surface model. The model is defined by combining the conventional spherical surface model and the XY model, which describes not only the interaction between lipids but also the interaction between the lipids and the surface. The interaction strength between IDOF and the surface varies depending on the interaction strength between the variables of IDOF. We know that the model without IDOF undergoes a first-order transition of surface fluctuations and a first-order collapsing transition. We observe in this paper that the order of the surface fluctuation transition changes from first-order to second-order and to higher-order with increasing strength of the interaction between IDOF variables. On the contrary, the order of collapsing transition remains first-order and is not influenced by the presence of IDOF.
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