论文标题
微观间隙位移对二聚体系统间隙相关的影响
The effect of microscopic gap displacement on the correlation of gaps in dimer systems
论文作者
论文摘要
在较早的工作中，我们表明，在批量上，六角形晶格上二聚体系统中的间隙的相关性在良好的网格限制下，由库仑定律用于2D静电。我们还证明，平均瓷砖方向的离散场$ {\ BOLD F} $的缩放限量最多是乘法常数，即由与间隙相对应的2D电荷系统产生的电场。 In this paper we show that in the bulk, the relative change $T_{\al,\be}$ in correlation caused by displacing a hole by a fixed vector $(\al,\be)$ is, in the fine mesh limit, the projection on $(\al,\be)$ of a new field ${\bold T}$, which is also equal up to a multiplicative constant to the electric field of the corresponding system of指控。我们还讨论了字段$ {\ BOLD T} $和$ {\ BOLD F} $之间的差异，并在具有边界的二聚体系统的更一般情况下，以其细分网格限制的命名。新的字段$ {\ BOLD T} $可以看作是捕获周围二聚体波动海中每个间隙的瞬时拉动。从平行与物理的角度来看，静电力是作为熵力出现的。
In earlier work we showed that in the bulk, the correlation of gaps in dimer systems on the hexagonal lattice is governed, in the fine mesh limit, by Coulomb's law for 2D electrostatics. We also proved that the scaling limit of the discrete field ${\bold F}$ of average tile orientations is, up to a multiplicative constant, the electric field produced by a 2D system of charges corresponding to the gaps. In this paper we show that in the bulk, the relative change $T_{\al,\be}$ in correlation caused by displacing a hole by a fixed vector $(\al,\be)$ is, in the fine mesh limit, the projection on $(\al,\be)$ of a new field ${\bold T}$, which is also equal up to a multiplicative constant to the electric field of the corresponding system of charges. We also discuss the differences between the fields ${\bold T}$ and ${\bold F}$ and present conjectures for their fine mesh limits in the more general case of a dimer system with boundary. The new field ${\bold T}$ can be viewed as capturing the instantaneous pull on each gap in the surrounding fluctuating sea of dimers. From the point of view of the parallel to physics, the electrostatic force emerges then as an entropic force.
