高温关联函数：普适性、交换相互作用的提取、发散关联长度和广义德拜长度标度
High temperature correlation functions: universality, extraction of exchange interactions, divergent correlation lengths and generalized Debye length scales
摘要：
在高温或弱耦合极限下，导出了一般n组分体系的关联函数的普遍形式。这使得能够从测量的高温关联函数中提取有效的微观相互作用。我们发现，在长程相互作用系统中，存在发散的关联长度，其振幅在高温极限下趋于零。对于具有不同长程相互作用的一般系统，我们引入了广义德拜长度（和时间）尺度的概念，并进一步将其与高温（或弱耦合）极限下最大关联长度的发散联系起来。
英文摘要：
We derive a universal form for the correlation function of general n component systems in the limit of high temperatures or weak coupling. This enables the extraction of effective microscopic interactions from measured high temperature correlation functions. We find that in systems with long range interactions, there exist diverging correlation lengths with amplitudes that tend to zero in the high temperature limit. For general systems with disparate long range interactions, we introduce the notion of generalized Debye length (and time) scales and further relate it to the divergence of the largest correlation length in the high temperature (or weak coupling) limit.
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