Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C)

Details Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C) Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C)

2008-12-03

arxiv.org/abs/0812.0675v1

Phys. Rev. E, vol. 79 (2009) 031109

Physics

Condensed Matter

Statistical Mechanics

6 figures

Scientific paper

10.1103/PhysRevE.79.031109

We calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry including conservation of magnetization by renormalization group (RG) theory within the minimal subtraction scheme in two loop order. Within the stability region of the Heisenberg fixed point and the biconical fixed point strong dynamical scaling holds with the asymptotic dynamical critical exponent $z=2\phi/\nu-1$ where $\phi$ is the crossover exponent and $\nu$ the exponent of the correlation length. The critical dynamics at $n_\|=1$ and $n_\perp=2$ is governed by a small dynamical transient exponent leading to nonuniversal nonasymptotic dynamical behavior. This may be seen e.g. in the temperature dependence of the magnetic transport coefficients.

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