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Volumn 69, Issue 3 2, 2004, Pages

Critical dynamics of stochastic models with energy conservation (model C)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CORRELATION METHODS; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTION EVALUATION; MATHEMATICAL MODELS; PHASE DIAGRAMS; RANDOM PROCESSES;

EID: 42749106951     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036101     Document Type: Article
Times cited : (24)

References (40)
  • 23
    • 33645053347 scopus 로고    scopus 로고
    • Although the definitions of the Ζ functions (11) for the dynamical parameters and the renormalization factors (B12) are different, the explicit expressions of the Ζ functions are in agreement with [19]
    • Although the definitions of the Ζ functions (11) for the dynamical parameters and the renormalization factors (B12) are different, the explicit expressions of the Ζ functions are in agreement with [19].
  • 24
    • 33645070650 scopus 로고    scopus 로고
    • After finishing our calculations we have been informed by V. Dohm of unpublished calculations by K. Oerding. His results for the dynamical Ζ functions agree with ours
    • After finishing our calculations we have been informed by V. Dohm of unpublished calculations by K. Oerding. His results for the dynamical Ζ functions agree with ours.
  • 25
    • 33645060052 scopus 로고    scopus 로고
    • We use, however, also in this case the ε-expanded fixed-point values of the static couplings. The two-loop β function for u has no real solution and one had to use the Borel-summed β function, which is not known for general n
    • We use, however, also in this case the ε-expanded fixed-point values of the static couplings. The two-loop β function for u has no real solution and one had to use the Borel-summed β function, which is not known for general n.
  • 28
    • 33645064376 scopus 로고    scopus 로고
    • The parameter c has been calculated in three-loop order in [13] and corrected by Antonov and Vasil'ev [29], The reason why the result of [29] is more reliable is the fact that c would be negative for d<3.70 (ε>0.296) in [13], whereas this happens only for d<1.35 (ε>2.65) in [29]
    • The parameter c has been calculated in three-loop order in [13] and corrected by Antonov and Vasil'ev [29], The reason why the result of [29] is more reliable is the fact that c would be negative for d<3.70 (ε>0.296) in [13], whereas this happens only for d<1.35 (ε>2.65) in [29].
  • 31
    • 33645084373 scopus 로고    scopus 로고
    • Note that in [18] the dynamical critical exponent z for model A has been missprinted due to an erroneous minus sign before Cη
    • Note that in [18] the dynamical critical exponent z for model A has been missprinted due to an erroneous minus sign before Cη.
  • 32
    • 33645086238 scopus 로고    scopus 로고
    • In [13] a renormalization with normalization conditions has been used. Therefore, in the comparison with our renormalization scheme using the minimal subtraction scheme in the ε functions of [13] e has to be set to zero
    • In [13] a renormalization with normalization conditions has been used. Therefore, in the comparison with our renormalization scheme using the minimal subtraction scheme in the ε functions of [13] e has to be set to zero.
  • 38
    • 0031315876 scopus 로고    scopus 로고
    • D. Stauffer, Int. J. Mod. Phys. C 8, 1263 (1997); P. Sen, S. Dasgupta, and D. Stauffer, Eur. Phys. J. B 1, 107 (1998); B. Zheng and H. J. Luo, Phys. Rev. E 63, 066130 (2001).
    • (1997) Int. J. Mod. Phys. C , vol.8 , pp. 1263
    • Stauffer, D.1
  • 39
    • 0031617491 scopus 로고    scopus 로고
    • D. Stauffer, Int. J. Mod. Phys. C 8, 1263 (1997); P. Sen, S. Dasgupta, and D. Stauffer, Eur. Phys. J. B 1, 107 (1998); B. Zheng and H. J. Luo, Phys. Rev. E 63, 066130 (2001).
    • (1998) Eur. Phys. J. B , vol.1 , pp. 107
    • Sen, P.1    Dasgupta, S.2    Stauffer, D.3
  • 40
    • 45849155105 scopus 로고    scopus 로고
    • D. Stauffer, Int. J. Mod. Phys. C 8, 1263 (1997); P. Sen, S. Dasgupta, and D. Stauffer, Eur. Phys. J. B 1, 107 (1998); B. Zheng and H. J. Luo, Phys. Rev. E 63, 066130 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 066130
    • Luo, B.1    Zheng, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.