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

Abstract

We calculate the relaxational dynamical critical behavior of systems of $O(n_{\Vert })\oplus O(n_{\perp })$ 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 $z=2\varphi /\nu -1$ where $\varphi$ is the crossover exponent and $\nu$ the exponent of the correlation length. The critical dynamics at $n_{\Vert }=1$ 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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References in corpus (4)

• Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
• Weak quenched disorder and criticality: resummation of asymptotic(?) series
• Field theory of bi- and tetracritical points: Statics
• Field theory of bi- and tetracritical points: Relaxational dynamics

Cited by in corpus (5)

• Critical Dynamics of Anisotropic Antiferromagnets in an External Field
• Phase transitions and order in two-dimensional generalized nonlinear $\sigma$-models
• Field theory of bicritical and tetracritical points. IV. Critical dynamics including reversible terms
• Marginal dimensions for multicritical phase transitions
• Biconical critical dynamics