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Volumn 61, Issue 5, 2000, Pages

Universality classes of driven lattice gases

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS;

EID: 0000765564     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.R4683     Document Type: Article
Times cited : (30)

References (30)
  • 11
    • 85036136001 scopus 로고    scopus 로고
    • Let us stress that other predictions of the standard field theory seem to be varified by performing a finite size scaling analysis (see 5 and 6), but a fully consistent scaling, including good data collapse for the order parameter, has never been observed. See the criticisms to 5 and 6 in 10
    • Let us stress that other predictions of the standard field theory seem to be varified by performing a finite size scaling analysis (see 5 and 6), but a fully consistent scaling, including good data collapse for the order parameter, has never been observed. See the criticisms to 5 and 6 in 10.
  • 13
    • 84956227279 scopus 로고
    • Note that the two temperature model is equivalent to the random DLG at criticality
    • Europhys. Lett.Z. Cheng, P. L. Garrido, J. L. Lebowitz, and J. L. Vallés, 14, 507 (1991). Note that the two temperature model is equivalent to the random DLG at criticality.
    • (1991) Europhys. Lett. , vol.14 , pp. 507
    • Cheng, Z.1    Garrido, P.L.2    Lebowitz, J.L.3    Vallés, J.L.4
  • 19
    • 0007182966 scopus 로고    scopus 로고
    • A combinatorial error in the original calculation was corrected after a comment by S. Caracciolo (see also 16
    • F. de los Santos and M. A. Muñoz, Phys. Rev. E 61, 1161 (2000). A combinatorial error in the original calculation was corrected after a comment by S. Caracciolo (see also 16).
    • (2000) Phys. Rev. E , vol.61 , pp. 1161
    • de los Santos, F.1    Muñoz, M.A.2
  • 22
    • 0007032916 scopus 로고
    • Addison-Wesley, Reading, MA
    • For a presentation of the entropic versus the energetic part of the Ginzburg-Landau theory, see G. Parisi, in Frontiers in Physics (Addison-Wesley, Reading, MA, 1988).
    • (1988) Frontiers in Physics
    • Parisi, G.1
  • 23
    • 85036325654 scopus 로고    scopus 로고
    • The detailed calculation will be presented elsewhere
    • The detailed calculation will be presented elsewhere.
  • 24
    • 85036307737 scopus 로고    scopus 로고
    • Observe that in the absence of the new term isotropic naive scaling, (Formula presented) had to be assumed. In the present case, (Formula presented) is obtained by imposing the leading term in the parallel direction to be marginal at the critical dimension
    • Observe that in the absence of the new term isotropic naive scaling, (Formula presented) had to be assumed. In the present case, (Formula presented) is obtained by imposing the leading term in the parallel direction to be marginal at the critical dimension.
  • 26
    • 84956065804 scopus 로고
    • See also 2, Sec. 6.1
    • B. Schmittmann, Europhys. Lett. 24, 109 (1993). See also 2, Sec. 6.1.
    • (1993) Europhys. Lett. , vol.24 , pp. 109
    • Schmittmann, B.1
  • 27
    • 85036334758 scopus 로고    scopus 로고
    • Note that results up to first order in epsilon coincide with those obtained in our previous paper 14, but here (Formula presented)
    • Note that results up to first order in epsilon coincide with those obtained in our previous paper 14, but here (Formula presented)
  • 28
    • 0001143830 scopus 로고    scopus 로고
    • and references therein
    • See A. D. Rutenberg and C. Yeung, Phys. Rev. E 60, 2710 (1999), and references therein.
    • (1999) Phys. Rev. E , vol.60 , pp. 2710
    • Rutenberg, A.D.1    Yeung, C.2
  • 29
    • 85036405936 scopus 로고    scopus 로고
    • The prediction for the exponent ν up to two loops is (Formula presented) Monte Carlo simulations yield values around 0.7 for the DLG 3, and (Formula presented) for the random DLG 2
    • The prediction for the exponent ν up to two loops is (Formula presented) Monte Carlo simulations yield values around 0.7 for the DLG 3, and (Formula presented) for the random DLG 2.


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