Abstract
We use a field theoretic renormalization group method to study the critical properties of a diffusive system with a single conserved density subject to a constant uniform external field. A fixed point stable belowd c=5 is found to govern the critical behavior. Scaling forms of density correlation functions are derived and critical exponents are obtained to all orders in ɛ=5−d. Spatial correlations are found to be very anisotropic with elongated correlations along the external field. Long wavelength transverse fluctuations are suppressed completely to yield mean field transverse exponents.
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Leung, Kt., Cardy, J.L. Field theory of critical behavior in a driven diffusive system. J Stat Phys 44, 567–588 (1986). https://doi.org/10.1007/BF01011310
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DOI: https://doi.org/10.1007/BF01011310