Monday, February 27, 2012

1112.6199 (K. K. Kozlowski)

Low-$T$ asymptotic expansion of the solution to the Yang-Yang equation    [PDF]

K. K. Kozlowski
We prove that the unique solution to the Yang-Yang equation arising in the
context of the thermodynamics of the so-called non-linear Schr\"{o}dinger model
admits a low-temperature expansion to all orders. Our approach provides a
rigorous justification, for a certain class of non-linear integral equations,
of the low-temperature asymptotic expansion that were argued previously in
various works related to the low-temperature behavior of integrable models.
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