The main idea of magnetic hyperthermia is to increase locally the temperature of the human body by means of injected superparamagnetic nanoparticles. They absorb energy from a time-dependent external magnetic field and transfer it into their environment. In the so-called superlocalization, the combination of an applied oscillating and a static magnetic field gradient provides even more focused heating since for large enough static field the dissipation is considerably reduced. Similar effect was found in the deterministic study of the rotating field combined with a static field gradient. Here we study theoretically the influence of thermal effects on superlocalization and on heating efficiency. We demonstrate that when time-dependent steady state motions of the magnetization vector are present in the zero temperature limit, then deterministic and stochastic results are very similar to each other. We also show that when steady state motions are absent, the superlocalization is severely reduced by thermal effects. Our most important finding is that in the low frequency range ($\omega \to 0$) suitable for hyperthermia, the oscillating applied field is shown to result in two times larger intrinsic loss power and specific absorption rate then the rotating one with identical superlocalization ability which has importance in technical realization.

磁热疗的主要思想是通过注射超顺磁性纳米粒子局部升高人体温度。它们从与时间相关的外部磁场中吸收能量并将其转移到环境中。在所谓的超定位中，施加的振荡和静磁场梯度的组合提供了更加集中的加热，因为对于足够大的静磁场，耗散显着减少。在结合静态场梯度的旋转场的确定性研究中发现了类似的效果。在这里，我们从理论上研究了热效应对超定域化和加热效率的影响。我们证明，当磁化矢量的时间相关稳态运动存在于零温度极限时，确定性和随机性结果彼此非常相似。我们还表明，当不存在稳态运动时，热效应会严重降低超定位。我们最重要的发现是在低频范围内（$\omega \to 0$) 适用于热疗，振荡外加场显示出比具有相同超定位能力的旋转场大两倍的固有损耗功率和比吸收率，这在技术实现上具有重要意义。