Comment on "renormalization-group theory for the phase-field crystal equation"

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 1, 2009, Pages

  Shiwa, Y ^a  

^a KYOTO INSTITUTE OF TECHNOLOGY   (Japan)

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Indexed keywords

EID: 58949096127     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.013601     Document Type: Note

References (10)

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2. N. Goldenfeld, B. P. Athreya, and J. A. Dantzig, Phys. Rev. E 72, 020601 (R) (2005). 10.1103/PhysRevE.72.020601
3. B. P. Athreya, N. Goldenfeld, and J. A. Dantzig, Phys. Rev. E 74, 011601 (2006). 10.1103/PhysRevE.74.011601
4. L.-Y. Chen, N. Goldenfeld, and Y. Oono, Phys. Rev. E 54, 376 (1996). 10.1103/PhysRevE.54.376
5. K. Nozaki and Y. Oono, Phys. Rev. E 63, 046101 (2001); 10.1103/PhysRevE.63.046101
6. for corrected treatment of the Swift-Hohenberg equation, see K. Nozaki, Y. Oono, and Y. Shiwa, Phys. Rev. E 62, R4501 (2000). 10.1103/PhysRevE.62.R4501
7. Note also that in the former reference Eq. (3.42) contains a minor calculational error and should read d AR dτ =ε AR 2 (1-AR 2) - ε2 i 8 AR (1-4 AR 2 + 7 2 AR 4) +O (ε3).
8. B. Mudavanhu and R. E. O'Malley, Stud. Appl. Math. 107, 63 (2001). 10.1111/1467-9590.1071178
9. A. Nayfeh, Perturbation Methods (Wiley, New York, 1973), Sec. 6.2.2.
10. A. Zippelius and E. D. Siggia, Phys. Fluids 26, 2905 (1983). 10.1063/1.864055