论文标题
在时间依赖的Ginzburg-Landau动力学中，用于动力学模型的模式形成的相位预测方法，没有对域模式的先验假设
A Phase Prediction Method for Pattern Formation in Time-Dependent Ginzburg-Landau Dynamics for Kinetic Ising Model without a priori Assumptions on Domain Patterns
论文作者
论文摘要
我们在单轴二维动力学模型中提出了一种相位预测方法，该方法在时间依赖性的金兹伯格 - 兰道动力学下与偶极 - 偶极相互作用。通过假设沿磁化轴的均匀性来考虑材料厚度的影响，该模型对应于具有远距离排斥相互作用的薄磁性材料。我们提出了一个新的理论基础，以了解材料参数对磁性域模式形成的影响，该方程在平衡状态下的平衡方程式。基于此理论基础，我们提出了一种新方法，通过使用受限的相位空间近似[R. Anzaki，K。Fukushima，Y。Hidaka和T. Oka，Ann。物理。 353，107（2015）]对于$ ϕ^4 $ -MODELS。尽管所提出的方法与实际数值结果没有完美的一致性，但它没有任意参数和功能来调整预测。换句话说，这是一种对域模式没有先验假设的方法。
We propose a phase prediction method for the pattern formation in the uniaxial two-dimensional kinetic Ising model with the dipole-dipole interactions under the time-dependent Ginzburg-Landau dynamics. Taking the effects of the material thickness into account by assuming the uniformness along the magnetization axis, the model corresponds to thin magnetic materials with long-range repulsive interactions. We propose a new theoretical basis to understand the effects of the material parameters on the formation of the magnetic domain patterns in terms of the equation of balance governing the balance between the linear- and nonlinear forces in the equilibrium state. Based on this theoretical basis, we propose a new method to predict the phase in the equilibrium state reached after the time-evolution under the dynamics with a given set of parameters, by approximating the third-order term using the restricted phase-space approximation [R. Anzaki, K. Fukushima, Y. Hidaka, and T. Oka, Ann. Phys. 353, 107 (2015)] for the $ϕ^4$-models. Although the proposed method does not have the perfect concordance with the actual numerical results, it has no arbitrary parameters and functions to tune the prediction. In other words, it is a method with no a priori assumptions on domain patterns.
