Drived diffusion of vector fields

TL;DR

This paper introduces a model for the diffusion of vector fields influenced by external forces, analyzing its critical properties using renormalization group techniques to identify new universality classes in lower dimensions.

Contribution

It proposes a novel model for driven vector field diffusion and applies renormalization group analysis to uncover new transport universality classes.

Findings

Identification of new universality classes for driven vector field diffusion.

Analysis of critical properties below the critical dimension.

Application of epsilon-expansion in the renormalization group framework.

Abstract

A model for the diffusion of vector fields driven by external forces is proposed. Using the renormalization group and the $\epsilon$-expansion, the dynamical critical properties of the model with gaussian noise for dimensions below the critical dimension are investigated and new transport universality classes are obtained.