In statistical mechanics, what does it really mean for a system to have complex temperature ? What is the significance of the real and imaginary parts of the temperature ?

  • $\begingroup$ @Countto10, the question whose link you copy and pasted seems to mention nothing about the significance of the real and imaginary parts of the temperature, which is my main question. $\endgroup$
    – user697626
    Jan 24, 2017 at 15:24
  • $\begingroup$ True enough, the only reference regarding complex involves imaginary time, which is a bit vague unless more details are given. My apologies, I will delete my comment and upvote. But it might be a good idea to say where you have looked already, as a one line question may be seen as a lack of research. Best of luck with it. $\endgroup$
    – user140606
    Jan 24, 2017 at 15:34
  • $\begingroup$ @Count010, thank you very much. The undergraduate texts in statistical mechanics that i read seem not to contain anything about systems with complex temperature, and the top suggestion that shows up after a google search is the question in your link... $\endgroup$
    – user697626
    Jan 24, 2017 at 15:54
  • $\begingroup$ My guess is that this will leave you with a headache: arxiv.org/pdf/nucl-th/0501041v2.pdf If I can find a better reference I will, but it seems to relatedto expressing the partition function as a complex function, so that two real "ordinary" variables can be treated more easily, an analogy would be the use of complex numbers in electromagnetism. Apologies if you already know this though. $\endgroup$
    – user140606
    Jan 24, 2017 at 16:11
  • $\begingroup$ @Countto10, thank you very much. I will look into that paper. $\endgroup$
    – user697626
    Jan 24, 2017 at 17:13


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