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arXiv 1007.2009cond-mat.mtrl-sciphysics.med-ph
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动态磁滞回线计算的简单模型:应用于热疗优化

Simple models for dynamic hysteresis loops calculation: Application to hyperthermia optimization

J. Carrey, B. Mehdaoui, M. Respaud

摘要:

为了优化磁性纳米粒子在磁热疗应用中的加热性能,需要计算其在交变磁场中的磁滞回线面积。三种类型的理论适用于描述的磁滞回线的MNPs和数值模拟:平衡功能,Stoner-Wohlfarth模型为基础的理论(SWMBTs)和线性响应理论(LRT)。从SWMBTs和数值模拟中推导出计算主循环滞后面积的合适公式;明确研究了解析公式的有效性域。在小循环的情况下,滞后面积计算基于LRT。一个完美的协议之间的LRT和数值模拟的磁滞回线。域的有效性的LRT明确研究。提出了适用于任何各向异性的MNP的低场磁滞面积计算公式。数值模拟的磁场依赖的面积表明,它遵循幂律与大范围的指数。然后,从LRT和SWMBTs导出的解析表达式用于磁热疗的理论研究。结果表明,LRT仅适用于各向异性强的MNP,SWMBTs适用于各向异性弱的MNP。磁热疗的最佳体积的MNP作为材料和实验参数的函数。可实现的最大比吸收率(SAR)相对于MNP各向异性进行计算。结果表明,最佳的各向异性增加了SAR,并减少了尺寸分布的不利影响。最佳的各向异性是简单的计算和依赖于磁场中使用的热疗实验和上的MNP磁化。理论上的最佳参数进行了比较,几种磁性材料之一。

英文摘要:

To optimize the heating properties of magnetic nanoparticles (MNPs) in magnetic hyperthermia applications, it is necessary to calculate the area of their hysteresis loops in an alternating magnetic field. The three types of theories suitable for describing the hysteresis loops of MNPs are presented and compared to numerical simulations: equilibrium functions, Stoner-Wohlfarth model based theories (SWMBTs) and linear response theory (LRT). Suitable formulas to calculate the hysteresis area of major cycles are deduced from SWMBTs and from numerical simulations; the domain of validity of the analytical formula is explicitly studied. In the case of minor cycles, the hysteresis area calculations are based on the LRT. A perfect agreement between LRT and numerical simulations of hysteresis loops is obtained. The domain of validity of the LRT is explicitly studied. Formulas to calculate the hysteresis area at low field valid for any anisotropy of the MNP are proposed. Numerical simulations of the magnetic field dependence of the area show it follows power-laws with a large range of exponents. Then, analytical expressions derived from LRT and SWMBTs are used for a theoretical study of magnetic hyperthermia. It is shown that LRT is only pertinent for MNPs with strong anisotropy and that SWMBTs should be used for weak anisotropy MNPs. The optimum volume of MNPs for magnetic hyperthermia as function of material and experimental parameters is derived. The maximum specific absorption rate (SAR) achievable is calculated versus the MNP anisotropy. It is shown that an optimum anisotropy increases the SAR and reduces the detrimental effects of size distribution. The optimum anisotropy is simple to calculate and depends on the magnetic field used in the hyperthermia experiments and on the MNP magnetization only. The theoretical optimum parameters are compared to the one of several magnetic materials.

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