Physics
Scientific paper
Mar 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jltp..150..689f&link_type=abstract
Journal of Low Temperature Physics, Volume 150, Issue 5-6, pp. 689-709
Physics
1
Scientific paper
We calculate in two loop order the dynamical critical behavior at the tricritical point occuring in 3He-4He mixtures. Model F' introduced by Siggia and Nelson (Phys. Rev. B 15:1427, [1977])—already problematic in one loop order—is shown in two loop order to lead to a divergence of the mass diffusion D in contradiction to experiments. Within the complex symmetric version of this model (model E ⋆') the dynamical critical exponents of the kinetic coefficients can be calculated exactly leading to a mass diffusion going to zero at the tricritical point as D( t X )˜ t {/X 1/2} ( t X is the relative temperature distance at constant concentration) and the thermal diffusion ratio k T ˜ t {/X -1} diverges proportional to the concentration susceptibility in the experimental region. We also discuss effective dynamical critical exponents and compare them with recent simulations of the vector Blume-Emery-Griffths model.
Folk Reinhard
Moser Georg
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