Driven diffusion of vector fields

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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.
© 1998 IOP Publishing Ltd. The authors are grateful to Bo Zheng for many clarifying discussions. FRR is grateful to the Institute for Theoretical Physics in Heidelberg for its hospitality and to the Alexander von Humboldt Foundation for support through a Research Fellowship.
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[1] Katz S, Lebowitz J L and Spohn H 1983 Phys. Rev. B28 1655 Katz S, Lebowitz J L and Spohn H 1984 J. Stat. Phys. 34 497 [2] Schmittmann B and Zia R K P 1995 Statistical Mechanics of Driven Diffusive Systems (Phase Transitions and Critical Phenomena 17) ed C Domb and J L Lebowitz (New York: Academic) [3] Janssen H K and Schmittmann B 1986 Z. Phys. B 63 517 Janssen H K and Schmittmann B 1986 Z. Phys. B 64 503 [4] Becker V and Janssen H K 1994 Phys. Rev. E 50 1114 [5] Kardar M, Parisi G and Zhang Y C 1986 Phys. Rev. Lett. 56 889 [6] Hwa T and Kardar M 1989 Phys. Rev. Lett. 62 1813 Hwa T and Kardar M 1992 Phys. Rev. A 45 7002 [7] Stauffer D and Aharony A 1994 Percolation Theory (London: Taylor and Francis) [8] You C Y and Weichman P 1993 Phys. Rev. Lett. 70 1101 [9] Doherty J P 1994 Phys. Rev. Lett. 72 2041 [10] Bouchard J P, Cates M E, Ravi Prakash J and Edwards S F 1994 J. Physique I 4 1383 Mehta A, Luck J M and Needs R J 1996 Phys. Rev. E 53 92 Biswas P, Majumdar A, Mehta A and hattacharjee J K 1997 Some properties of a class of coupled Langevin equations, cond-mat/9708155 [11] Janssen H K 1976 Z. Phys. B 23 377 De Dominicis C 1976 J. Physique Coll. 37 C-247 [12] Martin P C, Siggia E D and Rose H H 1973 Phys. Rev. A 8 423 [13] ’t Hooft G and Veltman M 1972 Nucl. Phys. B 44 189 [14] Janssen H K 1997 Phys. Rev. Lett. 78 1082