Abstract
There seems to be no general theoretical argument to support the idea that thermodynamic functions are piecewise analytic. We suggest that nonanalyticity may be associated with Gibbs states which are quasiperiodic under space translations, or have a more general nonperiodic (“turbulent”) behavior.
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Ruelle, D. Must thermodynamic functions be piecewise analytic?. J Stat Phys 26, 397–399 (1981). https://doi.org/10.1007/BF01013179
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DOI: https://doi.org/10.1007/BF01013179