Abstract The Phase Field Method requires continuous functions to control interface energies between phases. We have developed a method for phase field modeling where interface energies are described by spherical gaussians, a set of continuous functions which can simulate a wide variety of complex anisotropies. We demonstrate the use of the technique to produce a wide array of crystal geometries, including rods, hexagonal rods, cubes, and cubic dendrites, using the native properties of spherical gaussians to create specific interface energies throughout the full solid angle of an energy surface. Parameters controlling the sharpness of minima are shown to have a significant effect on morphology.

中文翻译：

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球面高斯：一种直观的方法，用于为相场方法创建复杂的界面能各向异性

摘要 相场法需要连续函数来控制相间的界面能量。我们开发了一种相场建模方法，其中界面能量由球面高斯函数描述，这是一组可以模拟各种复杂各向异性的连续函数。我们演示了使用该技术生产各种晶体几何形状，包括棒状、六边形棒状、立方体和立方枝晶，利用球面高斯的本机特性在能量表面的整个立体角中创建特定的界面能量。显示控制最小值锐度的参数对形态有显着影响。