标度行为和幂律在二阶相变材料磁热效应分析中的适用性
Applicability of scaling behavior and power laws in the analysis of the magnetocaloric effect in second-order phase transition materials
摘要：
近年来，普适标度在磁热材料的研究中重新受到关注。它已被应用于各种各样的纯元素和化合物，从稀土基材料到过渡金属合金，从块状晶体样品到纳米颗粒。因此，有必要量化的限制范围内的标度定律将仍然适用于磁热研究。为了这个目的，一个三重的方法已经遵循：a）居里温度范围从46到336 K的一组材料的磁热响应已被建模与平均场布里渊模型，b）Gd的实验数据进行了分析，和c）的3D-伊辛模型--这是超越平均场近似-已经研究。通过这种方式，我们可以证明，在这项工作中提取的结论是模型无关的。结果表明，当外加磁场的磁能为居里温度下的热能的8%时，普适标度仍然适用。在这个范围内，预测的偏离比例定律保持低于仔细进行实验的实验误差范围。因此，对于居里温度接近室温的材料，居里温度下的标度定律将适用于常规磁性实验室（$\sim 10$ T）可获得的磁场范围，远高于磁热器件通常可获得的磁场。
英文摘要：
In recent years, universal scaling has gained renewed attention in the study of magnetocaloric materials. It has been applied to a wide variety of pure elements and compounds, ranging from rare earth-based materials to transition metal alloys, from bulk crystalline samples to nanoparticles. It is therefore necessary to quantify the limits within which the scaling laws would remain applicable for magnetocaloric research. For this purpose, a threefold approach has been followed: a) the magnetocaloric responses of a set of materials with Curie temperatures ranging from 46 to 336 K have been modeled with a mean-field Brillouin model, b) experimental data for Gd has been analyzed, and c) a 3D-Ising model ---which is beyond the mean-field approximation--- has been studied. In this way we can demonstrate that the conclusions extracted in this work are model-independent. It is found that universal scaling remains applicable up to applied fields which provide a magnetic energy to the system up to 8\% of the thermal energy at the Curie temperature. In this range, the predicted deviations from scaling laws remain below the experimental error margin of carefully performed experiments. Therefore, for materials whose Curie temperature is close to room temperature, scaling laws at the Curie temperature would be applicable for the magnetic field range available at conventional magnetism laboratories ($\sim 10$ T), well above the fields which are usually available for magnetocaloric devices.
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