The quartic oscillator in an external field and the statistical physics of highly anisotropic solids

Details The quartic oscillator in an external field and the statistical physics of highly anisotropic solids The quartic oscillator in an external field and the statistical physics of highly anisotropic solids

2009-12-10

arxiv.org/abs/0912.1988v2

Physics

Condensed Matter

Statistical Mechanics

13 pages

Scientific paper

The statistical mechanics of 1D and 2D Ginzburg-Landau systems is evaluated
analytically, via the transfer matrix method, using an expression of the ground
state energy of the quartic anharmonic oscillator in an external field. In the
2D case, the critical temperature of the order/disorder phase transition is
expressed as a Lambert function of the inverse inter-chain coupling constant.

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