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Volumn 63, Issue 1 I, 2001, Pages 0114021-01140213

Equilibrium states and ground state of two-dimensional fluid foams

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GROUND STATE; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE EQUILIBRIA; TOPOLOGY;

EID: 17044444108     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.011402     Document Type: Article
Times cited : (71)

References (51)
  • 1
    • 29444457720 scopus 로고    scopus 로고
    • e-print xyz.lanl.gov/math.MG/9906042; Washington, DC
    • T. C. Hales, e-print xyz.lanl.gov/math.MG/9906042; see also Sci. News, Washington, DC 156, 60 (1999);
    • (1999) Sci. News , vol.156 , pp. 60
    • Hales, T.C.1
  • 11
    • 21344495733 scopus 로고
    • Am. Math. Monthly 101, 343 (1994).
    • (1994) Am. Math. Monthly , vol.101 , pp. 343
  • 12
    • 33744859807 scopus 로고
    • B.A. dissertation, Williams College, Williamstown, MA, unpublished
    • J. Foisy, B.A. dissertation, Williams College, Williamstown, MA, 1991 (unpublished);
    • (1991)
    • Foisy, J.1
  • 17
    • 33744838899 scopus 로고
    • Ph.D. dissertation, University of Chicago, unpublished.
    • L A. Glazier, Ph.D. dissertation, University of Chicago, 1989 (unpublished).
    • (1989)
    • Glazier, L.A.1
  • 19
    • 0001817727 scopus 로고
    • edited by D. Bideau and A. Hansen Elsevier, Amsterdam
    • N. Rivier, in Disorder and Granular Media, edited by D. Bideau and A. Hansen (Elsevier, Amsterdam, 1993), pp. 55-102.
    • (1993) Disorder and Granular Media , pp. 55-102
    • Rivier, N.1
  • 21
    • 33744873056 scopus 로고    scopus 로고
    • Foams and Emulsions Ref. [10].
    • Foams and Emulsions [Ref. [10].
  • 25
    • 33744856279 scopus 로고    scopus 로고
    • note
    • eff, the geometry of the pattern remains the same.
  • 29
    • 33744847084 scopus 로고    scopus 로고
    • note
    • We use the edge length L(A) of a hexagon as a mean-field approximation. L(A) is independent of the bubble topology and thus constant through a Tl and easy to measure on a picture. We are currently trying to relax ;his approximation to treat both area and topulogical disorder: as discussed in the Appendix, an n-sided bubble has a "reference length" L(A,n) = e(n)√A/n≈3.72√A/n.
  • 31
    • 33744842791 scopus 로고    scopus 로고
    • note
    • If the area disorder were large, the topological disorder would be large, too: e.g., a binary area distribution, where tiny bubbles decorate the vertices of the large-bubble honeycomb lattice; Fig. 2(a) of Ref. [2].
  • 35
    • 33744869856 scopus 로고    scopus 로고
    • note
    • a is roughly constant if the edges remain nearly straight.
  • 37
    • 33744840241 scopus 로고    scopus 로고
    • This is usually derived from the Euler theorem [12,14], applied here to a non-simply-convex foam (e.g., on a torus).
    • This is usually derived from the Euler theorem [12,14], applied here to a non-simply-convex foam (e.g., on a torus).
  • 38
    • 0000195664 scopus 로고    scopus 로고
    • note
    • D}. Using the results of J. Avron and D. Levine, Phys. Rev. Lett. 69, 208 (1992), one finds that q is the sum of the Gaussian curvature of the face and the curvature of me edge.
  • 39
    • 0004231024 scopus 로고
    • American Society for Metals, Cleveland, quoted, e.g., in [12,13,15].
    • J. von Neumann, in Metal Interfaces (American Society for Metals, Cleveland, 1952), pp. 108-110. quoted, e.g., in [12,13,15].
    • (1952) Metal Interfaces , pp. 108-110
    • Von Neumann, J.1
  • 45
    • 33744887664 scopus 로고    scopus 로고
    • h=1.
    • h=1.
  • 47
    • 33744856638 scopus 로고    scopus 로고
    • note
    • In the rare case where the edge fluid does not wet the box boundaries, e.g., Fig. 1 (b). the edges are tangent to the boundaries. Removing these edges leads to an incomplete foam with edges meeting the boundary perpendicularly.
  • 48
    • 0014582879 scopus 로고
    • with references to P. G. Tait in the 1860s
    • S. Ross, Ind. Eng. Chem. 61, 48 (1969) (with references to P. G. Tait in the 1860s);
    • (1969) Ind. Eng. Chem. , vol.61 , pp. 48
    • Ross, S.1
  • 49
    • 33744874812 scopus 로고    scopus 로고
    • note
    • i is extremal at λ= 1.
  • 50
    • 33744844847 scopus 로고    scopus 로고
    • F. Morgan jpersonal communication.
    • F. Morgan jpersonal communication).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.