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Lee-Yang Zeros and Stokes Phenomenon in a Model with a Wetting Transition
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| Journal of Statistical Physics |
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We consider the statistical mechanics of a fluctuating string (1D solid-on-solid model) of N columns with a contact energy term displaying a critical wetting transition. For this model we derive a contour integral representation for the finite-size partition function. From this representation we derive a polynomial representation and obtain the Lee-Yang zeros for NŠ100. Through the asymptotic evaluation displays a Stokes phenomenon providing a different view-point of the mechanism by which a phase transition can arise, supplementing the picture of Lee and Yang. We also reproduce and extend somewhat the results of Smith for the finite-size scaling limit of the partition function.
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partition function zeroes, Stokes phenomenon, wetting transition
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