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Volumn 81, Issue 4, 2010, Pages

Distinctive features arising in maximally random jammed packings of superballs

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHOUS PHASIS; AVERAGE NUMBERS; CIRCULAR DISK; CUBIC SYMMETRY; DEFORMATION PARAMETER; DISTINCTIVE FEATURES; GRANULAR MEDIA; HARD PARTICLES; HARD-PARTICLE PACKINGS; JAMMED PACKINGS; LOCAL COORDINATION; LOW TEMPERATURES; MECHANICALLY STABLE; MONO-DISPERSED; NON EQUILIBRIUM; NON-SPHERICAL; NONSPHERICAL PARTICLE; NUMBER OF DEGREES OF FREEDOM; ORDER PARAMETER; ORIENTATIONAL ORDERS; PACKING CONFIGURATION; RANDOM PACKING; ROTATIONAL SYMMETRIES;

EID: 77951141726     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.041304     Document Type: Article
Times cited : (122)

References (54)
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    • Supramolecular chemistry deals with the chemistry and collective behavior of molecular building blocks that are organized on large length scales (relative to molecular sizes) with long-range order.
    • Supramolecular chemistry deals with the chemistry and collective behavior of molecular building blocks that are organized on large length scales (relative to molecular sizes) with long-range order.
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    • ) 2 ≤1, where xi (i=1,2,3 ) are the Cartesian coordinates and ai (i=1,2,3 ) are the semiaxes. In Refs., spheriods (i.e., ellipsoids with two equal semiaxes) were studied. The aspect ratio of a spheroid is defined as the ratio of the distinct semiaxis over one of the two equal semiaxes.
    • ) 2 ≤ 1, where x i (i = 1, 2, 3) are the Cartesian coordinates and a i (i = 1, 2, 3) are the semiaxes. In Refs., spheriods (i.e., ellipsoids with two equal semiaxes) were studied. The aspect ratio of a spheroid is defined as the ratio of the distinct semiaxis over one of the two equal semiaxes.
  • 38
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    • In a previous study of jammed random ellipsoid packings reported in, nontrivially correlated local structures were called "degenerate." In light of the fact that the term "degenerate" has a variety of different meanings, we use instead here the term "nongeneric" to avoid any possible confusion.
    • In a previous study of jammed random ellipsoid packings reported in, nontrivially correlated local structures were called "degenerate." In light of the fact that the term "degenerate" has a variety of different meanings, we use instead here the term "nongeneric" to avoid any possible confusion.
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    • -4 of the particle diameter.
    • - 4 of the particle diameter.
  • 45
    • 77951139018 scopus 로고    scopus 로고
    • The numerically computed right and left slope of Φ (p) for binary superdisks at p=1 are a+ ≈0.135 and a- ≈-0.083, respectively.
    • The numerically computed right and left slope of Φ (p) for binary superdisks at p = 1 are a + ≈ 0.135 and a - ≈ - 0.083, respectively.
  • 46
    • 77951124116 scopus 로고    scopus 로고
    • The numerically computed right and left slope of Φ (p) for monodispersed superballs at p=1 are a+ ≈0.229 and a- ≈-0.113, respectively.
    • The numerically computed right and left slope of Φ (p) for monodispersed superballs at p = 1 are a + ≈ 0.229 and a - ≈ - 0.113, respectively.
  • 48
    • 77951109006 scopus 로고    scopus 로고
    • The fact that the superdisk and superball packings can significantly explore their configurational space associated with the rotational degrees of freedom, i.e., they can rotate significantly, near the jamming point is manifested as long-period oscillations of the pressure of the system, which is also observed for ellipsoid systems.
    • The fact that the superdisk and superball packings can significantly explore their configurational space associated with the rotational degrees of freedom, i.e., they can rotate significantly, near the jamming point is manifested as long-period oscillations of the pressure of the system, which is also observed for ellipsoid systems.
  • 49
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    • In this sense, it is similar to the ellipse packings in two dimensions, i.e., the isostatic packing requires six contacts per particles, which can only be realized with translational crystallization.
    • In this sense, it is similar to the ellipse packings in two dimensions, i.e., the isostatic packing requires six contacts per particles, which can only be realized with translational crystallization.
  • 50
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    • Expansion rates γ within the range 0.1-0.5 were employed to suppress the formation of order in the superdisk and superball packings; larger γ would cause numerical instability of the DTS algorithm. Note that for ellipsoids, γ∼0.05 is sufficient to produce random packings with vanishing orientational order.
    • Expansion rates γ within the range 0.1-0.5 were employed to suppress the formation of order in the superdisk and superball packings; larger γ would cause numerical instability of the DTS algorithm. Note that for ellipsoids, γ ∼ 0.05 is sufficient to produce random packings with vanishing orientational order.
  • 53
    • 77951112899 scopus 로고    scopus 로고
    • ) 2p ≤1, where xi (i=1,2,...,d ) are the Cartesian coordinates and ai (i=1,2,...,d ) are the semiaxes along the coordinate axes, p is the deformation parameter. At p=1, one obtains a d -dimensional ellipsoid.
    • ) 2 p ≤ 1, where x i (i = 1, 2,..., d) are the Cartesian coordinates and a i (i = 1, 2,..., d) are the semiaxes along the coordinate axes, p is the deformation parameter. At p = 1, one obtains a d -dimensional ellipsoid.
  • 54


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.