TY - JOUR
T1 - Unexpected density fluctuations in jammed disordered sphere packings
AU - Donev, Aleksandar
AU - Stillinger, Frank H.
AU - Torquato, Salvatore
PY - 2005/8/26
Y1 - 2005/8/26
N2 - We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically augmented surface area rather than the volume of the window. The structure factor shows an unusual nonanalytic linear dependence near the origin, S(k)∼|k|. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, h(r)∼-r-4, and a long-ranged direct correlation function c(r).
AB - We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically augmented surface area rather than the volume of the window. The structure factor shows an unusual nonanalytic linear dependence near the origin, S(k)∼|k|. In addition to exponentially damped oscillations seen in liquids, this implies a weak power-law tail in the total correlation function, h(r)∼-r-4, and a long-ranged direct correlation function c(r).
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U2 - 10.1103/PhysRevLett.95.090604
DO - 10.1103/PhysRevLett.95.090604
M3 - Article
C2 - 16197201
AN - SCOPUS:27144516747
SN - 0031-9007
VL - 95
JO - Physical review letters
JF - Physical review letters
IS - 9
M1 - 090604
ER -