论文标题
Potts模型中的冻结与平衡动力学
Freezing vs. equilibration dynamics in the Potts model
论文作者
论文摘要
我们研究了不同的BI/三维晶格拓扑上的$ Q $ POTTS模型的淬火动力。特别是我们对瞬时淬火感兴趣，从$ t_i \ rightarrow \ infty $到$ t \ t \ leq t_s $，其中$ t_s $是（pseudo）spinodal温度。目的是解释为什么在较大的$ q $限制中，低温动力学在某些晶格上冻结，而在其他晶格上，很容易达到平衡配置。详细分析了立方体（$ 3D $）和三角形（$ 2D $）的格子。我们表明，当晶格具有无环\ textit {统一结构}时，动力学会在系统循环时进入平衡时，无论特定考虑的晶格的配位数（$ z $）。
We study the quench dynamics of the $q$ Potts model on different bi/tri-dimensional lattice topologies. In particular we are interested in instantaneous quenches from $T_i \rightarrow \infty$ to $T \leq T_s$, where $T_s$ is the (pseudo)-spinodal temperature. The goal is to explain why, in the large-$q$ limit, the low-temperature dynamics freezes on some lattices while, on others, the equilibrium configuration is easily reached. The cubic ($3d$) and the triangular ($2d$) lattices are analysed in detail. We show that the dynamics blocks when lattices have acyclic \textit{unitary structures} while the system goes to the equilibrium when these are cyclic, no matter the coordination number ($z$) of the particular considered lattice.
