再论Tsallis熵最大化过程
Tsallis' entropy maximization procedure revisited
摘要:
正确的平均方法是关于Tsallis' Thermostatistics的一个重要问题。迄今为止,在相关文献中采用了三种不同的程序。第三种,即,Tsallis-Mendes-Plastino(TMP)标准化过程相对于早期的标准化过程表现出明显的优势。在这项工作中,我们提出了一个独特的(从TMP-1)的方式来处理的拉格朗日乘子参与的极值化过程中,导致Tsallis的统计算子。可以看出,新的方法大大简化了相关的分析,而不会失去美丽的性质的Tsallis-Mendes-Plastino形式主义。
英文摘要:
The proper way of averaging is an important question with regards to Tsallis' Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one, i.e., the Tsallis-Mendes-Plastino (TMP) normalization procedure, exhibits clear advantages with respect to earlier ones. In this work, we advance a distinct (from the TMP-one) way of handling the Lagrange multipliers involved in the extremization process that leads to Tsallis' statistical operator. It is seen that the new approach considerably simplifies the pertinent analysis without losing the beautiful properties of the Tsallis-Mendes-Plastino formalism.
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