Motivated by recent models of Bak, Tang, and Wiesenfeld we study dissipative transport in open systems. A simple continuum equation is constructed to describe fluctuations around a steady state in a flowing ``sandpile.'' The principle of scale invariance and self-similarity is understood in terms of a conservation law in dynamics. A dynamic renormalization-group calculation allows us to determine various critical exponents exactly in all dimensions.
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Hwa et al. (1989) studied this question.
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