一种用于恒温反/铁磁模型的高效几何积分器
An efficient geometric integrator for thermostatted anti-/ferromagnetic models
AI总结：
针对恒温反/铁磁海森堡自旋模型，提出一种高效保结构的几何积分器，解决非线性耗散项模拟中的数值稳定性问题。
摘要：
（反）铁磁海森堡自旋模型源于微磁建模中朗道-利夫希茨模型的离散化。在许多应用中，研究系统在固定温度下的行为至关重要。Bulgac和Kusnetsov给出了恒温自旋动力学的一种表述，该表述包含一个复杂的非线性耗散/驱动项，同时保持自旋长度不变。在模拟中正确建模这一项至关重要，而简化方案会导致较差的数值性能，例如需要过小的时间步长才能实现稳定积分。在本文中，我们提出了一种用于恒温自旋动力学的高效、保结构方法。
英文摘要：
(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for thermostatted spin dynamics was given by Bulgac and Kusnetsov which incorporates a complicated nonlinear dissipation/driving term while preserving spin length. It is essential to properly model this term in simulation, and simplified schemes give poor numerical performance, e.g. requiring an excessively small timestep for stable integration. In this paper we present an efficient, structure-preserving method for thermostatted spin dynamics.
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