论文标题
几何，边界条件和动力规则对Ising Ferromagnet的磁性松弛的影响
Effects of geometry, boundary condition and dynamical rules on the magnetic relaxation of Ising ferromagnet
论文作者
论文摘要
我们研究了蒙特卡洛模拟的二维ISING Ferromagnet的磁性松弛行为。我们的主要目标是研究系统几何形状（保存区域），边界条件和动态规则对放松行为的影响。格劳伯和大都市的动态规则已采用。研究了具有周期性和开放边界条件的系统。主要发现是指数式放松和放松时间（$τ$）对纵横比$ r $（固定面积的宽度比宽度）的依赖。已经观察到较大的纵横比值（$ r $）的功率定律依赖性（$τ\ sim r^{ - s} $）。已发现指数（$ s $）在系统的温度（$ t $）上线性依赖（$ s = at+b $）。已经研究了表面和大量/核心的自旋叉密度的瞬态行为。表面和大体/核心的饱和自旋光密度的尺寸依赖性显着差异。发现饱和的散装/核心和饱和的表面自旋窗户密度遵循对数依赖性$ f_d = a + b〜log（l）$，具有系统大小。对于动态规则的任何形式的开放边界条件，观察到更快的松弛。同样，大都市算法可为边界条件的任何类型（开放/周期性）产生更快的放松。
We have studied the magnetic relaxation behavior of a two-dimensional Ising ferromagnet by Monte Carlo simulation. Our primary goal is to investigate the effects of the system's geometry (area preserving) , boundary conditions, and dynamical rules on the relaxation behavior. The Glauber and Metropolis dynamical rules have been employed. The systems with periodic and open boundary conditions are studied. The major findings are the exponential relaxation and the dependence of relaxation time ($τ$) on the aspect ratio $R$ (length over breadth having fixed area). A power law dependence ($τ\sim R^{-s}$) has been observed for larger values of aspect ratio ($R$). The exponent ($s$) has been found to depend linearly ($s=aT+b$) on the system's temperature ($T$). The transient behaviours of the spin-flip density have been investigated for both surface and bulk/core. The size dependencies of saturated spin-flip density significantly differ for the surface and the bulk/core. Both the saturated bulk/core and saturated surface spin-flip density was found to follow the logarithmic dependence $f_d = a + b~log(L)$ with the system size. The faster relaxation was observed for open boundary condition with any kind (Metropolis/Glauber) of dynamical rule. Similarly, Metropolis algorithm yields faster relaxation for any kind (open/periodic) of boundary condition.
