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Volumn 92, Issue 9, 2004, Pages

When does coarsening occur in the dynamics of one-dimensional fronts?

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; CRYSTAL GROWTH; CRYSTALLOGRAPHY; DIFFUSION; ELASTICITY; EQUATIONS OF MOTION; HARMONIC ANALYSIS; HYDRODYNAMICS; LYAPUNOV METHODS; NONLINEAR EQUATIONS; OSCILLATIONS; PHASE MODULATION; SOLIDIFICATION; VISCOSITY;

EID: 10044229086     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.090601     Document Type: Article
Times cited : (67)

References (22)
  • 3
    • 85032426259 scopus 로고    scopus 로고
    • note
    • In principle, a negative D could entail a decreasing of λ (splitting) as well. However, this is inconsistent with the result d ℱ/dλ < 0 (see the section on the Lyapunov functional) and with the stability of the flat interface at small length scales.
  • 4
    • 85032427398 scopus 로고    scopus 로고
    • Noise does not modify the coarsening scenarios discussed throughout the paper
    • Noise does not modify the coarsening scenarios discussed throughout the paper.
  • 6
    • 85032427394 scopus 로고    scopus 로고
    • This is due to the Fredholm alternative theorem. See Ref. [5], p. 13
    • This is due to the Fredholm alternative theorem. See Ref. [5], p. 13.
  • 11
    • 85032430506 scopus 로고    scopus 로고
    • note
    • A vicinal surface is a surface that is slightly miscut from a high symmetry orientation. It looks like a flight of stairs with steps of atomic height separating large terraces.
  • 12
    • 85032427228 scopus 로고    scopus 로고
    • Ph.D. thesis, Université de Grenoble
    • F. Gillet, Ph.D. thesis, Université de Grenoble, 2000.
    • (2000)
    • Gillet, F.1
  • 19
    • 85032427273 scopus 로고    scopus 로고
    • ℱ is usually written in terms of U(u) = -V(u), but here it is more useful to use V(u).
    • ℱ usually written in terms of U(u) = -V(u), but here it is more useful to use V(u).
  • 20
    • 85032428400 scopus 로고    scopus 로고
    • -1(dJ/dλ) and dE/dλ cancel out
    • -1(dJ/dλ) and dE/dλ cancel out.
  • 21
    • 85032429345 scopus 로고    scopus 로고
    • P. Politi and C. Misbah (unpublished)
    • P. Politi and C. Misbah (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.