Abstract
We present a renormalisation group study for the long time behaviour of a diffusive system with a single conserved density which is subjected to an external driving force. In the asymptotic long wavelength limit the system approaches an infrared stable fixed point where detailed balance is satisfied. We obtain the exact scaling form of the density correlation function. In one dimension, the corresponding universal amplitude agrees excellently with a recent Monte Carlo simulation.
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Janssen, H.K., Schmittmann, B. Field theory of long time behaviour in driven diffusive systems. Z. Physik B - Condensed Matter 63, 517–520 (1986). https://doi.org/10.1007/BF01726201
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DOI: https://doi.org/10.1007/BF01726201