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Volumn 69, Issue 2 2, 2004, Pages

Dynamics of an unbounded interface between ordered phases

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONTINUUM MECHANICS; DIFFERENTIATION (CALCULUS); DIFFUSION; FERROMAGNETIC MATERIALS; INTEGER PROGRAMMING; INTEGRATION; KINEMATICS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 37649029867     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.026125     Document Type: Article
Times cited : (15)

References (35)
  • 2
    • 0346505865 scopus 로고
    • For reviews, see, e.g., J.D. Gunton, M. San Miguel, and P.S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, New York, 1983), Vol. 8; A.J. Bray, Adv. Phys. 43, 357 (1994).
    • (1994) Adv. Phys. , vol.43 , pp. 357
    • Bray, A.J.1
  • 3
    • 0001349535 scopus 로고
    • I.M. Lifshitz, Sov. Phys. JETP 15, 939 (1962); L. Chayes, R.H. Schonmann, and G. Swindle, J. Stat. Phys. 79, 821 (1995).
    • (1962) Sov. Phys. JETP , vol.15 , pp. 939
    • Lifshitz, I.M.1
  • 6
    • 33645081362 scopus 로고    scopus 로고
    • note
    • During the evolution, small bubbles can branch off the the domain, so strictly speaking there may be more than one interface.
  • 7
    • 33645085481 scopus 로고    scopus 로고
    • note
    • A very recent account of this and related fluid spreading problems appears in P.B. Warren, e-print cond-mat/0311216.
  • 8
    • 33645049215 scopus 로고    scopus 로고
    • note
    • According to zero-temperature Glauber dynamics, a patch of minority phase that occupies a domain D can grow up to the rectangular envelope of D (i.e., the smallest rectangle that contains D). In the present case the rectangular envelope is always the original quadrant.
  • 10
    • 33645082833 scopus 로고    scopus 로고
    • note
    • Note that the Allen-Cahn equation (1) is deterministic; generally, the TDGL equation is stochastic at positive temperature but becomes deterministic at zero temperature. Glauber dynamics remains stochastic even at T=0.
  • 16
    • 0002429959 scopus 로고
    • D.L. Chopp and J.A. Sethian, Exp. Math. 2, 235 (1993); D.L. Chopp, ibid. 3, 1 (1994).
    • (1994) Exp. Math. , vol.3 , pp. 1
    • Chopp, D.L.1
  • 20
    • 33645073151 scopus 로고    scopus 로고
    • note
    • t decay to zero (see Sec. V).
  • 22
    • 33645093867 scopus 로고    scopus 로고
    • R. Rajesh and D. Dhar, e-print cond-mat/0303577
    • R. Rajesh and D. Dhar, e-print cond-mat/0303577.
  • 25
    • 33645092809 scopus 로고    scopus 로고
    • A. Okounkov, e-print math-ph/0309015
    • A. Okounkov, e-print math-ph/0309015.
  • 26
    • 0012620162 scopus 로고    scopus 로고
    • In and Out of Equilibrium, edited by V. Sidoravicius, Birkhauser, Boston
    • See e.g., M. Praehofer and H. Spohn, in In and Out of Equilibrium, edited by V. Sidoravicius, Progress in Probability Vol. 51 (Birkhauser, Boston, 2002), pp. 185-204.
    • (2002) Progress in Probability , vol.51 , pp. 185-204
    • Praehofer, M.1    Spohn, H.2
  • 28
    • 33645078543 scopus 로고    scopus 로고
    • note
    • N are indexed by partitions π of size N, and dim π is the dimension of the corresponding representation [14].
  • 29
    • 33645070093 scopus 로고    scopus 로고
    • note
    • 2/2).
  • 35
    • 33645078297 scopus 로고    scopus 로고
    • note
    • The third possible two-dimensional lattice, the hexagonal, has uninteresting zero-temperature dynamics because the coordination number is odd. Thus any patch containing a hexagon never disappears.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.