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arXiv 1206.1272q-fin.STcond-mat.stat-mech
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股票市场的负开尔文温度

Negative Kelvin temperatures in stock markets

J. L. Subias

摘要:

本文提出了一个将物理变量与金融变量联系起来的自旋模型。本文首次将负绝对温度的概念引入到股票市场的动力学中,并在物理变量和金融变量之间建立了严格的形式类比。在此基础上,应用负温度评估算法对2002年11月至今纽约证券交易所的股票行情进行了分析。我们发现负温度峰值的大小与随后的指数移动相关。此外,一定的自相关函数随着温度的增加而衰减。由于模型假设指出了这种相似性的可能性,因此努力寻找与已知物理过程相似的模式。发现了一些类似于唯象热力学中已知过程的情况,即粒子数反转和磁热效应。

英文摘要:

A spin model relating physical to financial variables is presented. This work is the first to introduce the concept of negative absolute temperature into stock market dynamics by establishing a rigorous formal analogy between physical and financial variables. Based on this model, an algorithm evaluating negative temperatures was applied to an analysis of New York Stock Exchange quotations from November 2002 up to the present. We found that the magnitude of negative temperature peaks correlates with subsequent index movement. Moreover, a certain autocorrelation function decays as temperature increases. An effort was directed to the search for patterns similar to known physical processes, since the model hypotheses pointed to the possibility of such a similarity. A number of cases resembling known processes in phenomenological thermodynamics were found, namely, population inversion and the magneto-caloric effect.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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