Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions

Details Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions

1997-07-21

arxiv.org/abs/cond-mat/9707222v2

Phys.Rev.Lett.79:3797-3801,1997

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures (embedded using epsf), uses RevTeX plus macro (included). Minor revision to match journal version, Phys. Re

Scientific paper

10.1103/PhysRevLett.79.3797

We study the classical thermodynamics of a 1+1-dimensional double-well sinh-Gordon theory. Remarkably, the Schrodinger-like equation resulting from the transfer integral method is quasi-exactly solvable at several temperatures. This allows exact calculation of the partition function and some correlation functions above and below the short-range order (``kink'') transition, in striking agreement with high resolution Langevin simulations. Interesting connections with the Landau-Ginzburg and double sine-Gordon models are also established.

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