Phase diagram of Model C in the parametric space of order parameter and space dimensions

Abstract

The scaling behavior of model C describing the dynamical behaviour of the $n$-component nonconserved order parameter coupled statically to a scalar conserved density is considered in $d$-dimensional space. Conditions for the realization of different types of scaling regimes in the $(n,d)$ plane are studied within the field-theoretical renormalization group approach. Borders separating these regions are calculated on the base of high-order RG functions using $\epsilon$-expansions as well as by fixed dimension $d$ approach with resummation.

8 pages, 2 figures

References in corpus (12)

• Critical exponents of O(N) models in fractional dimensions
• Non-perturbative Approach to Critical Dynamics
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
• Two-loop Functional Renormalization Group of the Random Field and Random Anisotropy O(N) Models
• Universality and criticality of a second-order granular solid-liquid-like phase transition
• Vanishing Beta Function curves from the Functional Renormalisation Group
• Functional renormalization group approach to non-collinear magnets
• Scaling relations and multicritical phenomena from Functional Renormalization
• Fixed points in frustrated magnets revisited
• Stability of fixed points and generalized critical behavior in multifield models
• Marginal dimensions for multicritical phase transitions