Driven diffusive system with non-local perturbations
Sutapa Mukherji (Indian Institute of Technology, Kanpur)
TL;DR
This paper explores how non-local perturbations, such as non-local conservation and long-range noise correlations, affect the scaling behavior and anisotropy in driven diffusive systems using renormalization group methods.
Contribution
It introduces and analyzes the effects of non-local conservation laws and long-range temporal correlations in driven diffusive systems, expanding understanding of their critical behavior.
Findings
Non-local conservation alters the anisotropy exponent.
Long-range noise correlations impact the scaling of correlations.
Renormalization group analysis reveals modified critical properties.
Abstract
We investigate the impact of non-local perturbations on driven diffusive systems. Two different problems are considered here. In one case, we introduce a non-local particle conservation along the direction of the drive and in another case, we incorporate a long-range temporal correlation in the noise present in the equation of motion. The effect of these perturbations on the anisotropy exponent or on the scaling of the two-point correlation function is studied using renormalization group analysis.
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