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Volumn 68, Issue 4, 2003, Pages

Local density fluctuations, hyperuniformity, and order metrics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85035273134     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.041113     Document Type: Article
Times cited : (221)

References (58)
  • 12
    • 0347040497 scopus 로고    scopus 로고
    • In very special circumstances, the variance can grow more slowly than the surface area. For example, for the infinite periodic square lattice and when (Formula presented) is a rectangle with a very irrational orientation with respect to the x axis, the variance grows as (Formula presented) see J. Beck, Discrete Math. 229, 29 (2001).
    • (2001) Discrete Math. , vol.229 , pp. 29
    • Beck, J.1
  • 21
    • 79959372538 scopus 로고    scopus 로고
    • It is interesting to note that for a related two-point correlation function that arises in the characterization of two-phase random media (i.e., binary stochastic spatial processes), it is known that the two analogous non-negativity conditions are necessary but not sufficient for realizability 1
    • J. Phys. Chem. BS. TorquatoF.H. Stillinger106, 11406 (2002). It is interesting to note that for a related two-point correlation function that arises in the characterization of two-phase random media (i.e., binary stochastic spatial processes), it is known that the two analogous non-negativity conditions are necessary but not sufficient for realizability 15;
    • (2002) J. Phys. Chem. B , vol.106 , pp. 11406
    • Torquato, S.1    Stillinger, F.H.2
  • 26
    • 85035300795 scopus 로고    scopus 로고
    • The critical exponent (Formula presented) associated with (Formula presented) for thermal systems belonging to the standard Ising universality class is given exactly by (Formula presented) for (Formula presented) and approximately by (Formula presented) for (Formula presented) see Ref. 19
    • The critical exponent (Formula presented) associated with (Formula presented) for thermal systems belonging to the standard Ising universality class is given exactly by (Formula presented) for (Formula presented) and approximately by (Formula presented) for (Formula presented) see Ref. 19.
  • 29
    • 0035239651 scopus 로고    scopus 로고
    • These papers are concerned with “target” optimization problems in a variety of different contexts
    • S. Hyun and S. Torquato, J. Mater. Res. 16, 280 (2001). These papers are concerned with “target” optimization problems in a variety of different contexts.
    • (2001) J. Mater. Res. , vol.16 , pp. 280
    • Hyun, S.1    Torquato, S.2
  • 31
    • 84966503230 scopus 로고    scopus 로고
    • edited by M. Abramowitz and I. A. Stegun (Dover Publications, New York, 1972)
    • Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover Publications, New York, 1972).
    • Handbook of Mathematical Functions
  • 36
    • 85035255508 scopus 로고    scopus 로고
    • Of course, the extremal point pattern depends on the shape of the window
    • Of course, the extremal point pattern depends on the shape of the window.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.