Anton Iakovlev

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I present an investigation of non-Gaussian
fluctuations of complex classical Ginzburg-Landau (GL) order parameter
fields.
The transfer-matrix formalism enables an exact treatment of the
non-Gaussian fluctuations.
According to this formalism the generalized GL energy functional is
considered as an energy associated with a particular order parameter
configuration.
Therefore the partition function can be represented as a functional
integral over all possible configurations of the order parameters. In
the cases of a single and two competing order parameters the
functional integration is formally analogous to an eigenvalue problem
of a single and two quantum particles in an an-harmonic potential
respectively.
To solve the problem we use such techniques as the path integral Monte
Carlo and the Lanczos method. The results obtained via both techniques
are compared with each other and with known results for the single
order parameter case. Afterwards the results for the competing order
parameters are computed.

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Universität Bonn
Konferenzraum THP
Contact: not specified