## Abstract

We relate the structure factor

S

(

k

→

0

)

in a system of jammed hard spheres of number density

ρ

to its complexity per particle

Σ

(

ρ

)

by the formula

S

(

k

→

0

)

=

−

1

/

[

ρ

2

Σ

′′

(

ρ

)

+

2

ρ

Σ

′

(

ρ

)

]

. We have verified this formula for the case of jammed disks in a narrow channel, for which it is possible to find

Σ

(

ρ

)

and

S

(

k

)

analytically. Hyperuniformity, which is the vanishing of

S

(

k

→

0

)

, will therefore not occur if the complexity is nonzero. An example is given of a jammed state of hard disks in a narrow channel which is hyperuniform when generated by dynamical rules that produce a nonextensive complexity.

S

(

k

→

0

)

in a system of jammed hard spheres of number density

ρ

to its complexity per particle

Σ

(

ρ

)

by the formula

S

(

k

→

0

)

=

−

1

/

[

ρ

2

Σ

′′

(

ρ

)

+

2

ρ

Σ

′

(

ρ

)

]

. We have verified this formula for the case of jammed disks in a narrow channel, for which it is possible to find

Σ

(

ρ

)

and

S

(

k

)

analytically. Hyperuniformity, which is the vanishing of

S

(

k

→

0

)

, will therefore not occur if the complexity is nonzero. An example is given of a jammed state of hard disks in a narrow channel which is hyperuniform when generated by dynamical rules that produce a nonextensive complexity.

Original language | English |
---|---|

Article number | 075503 |

Journal | Physical Review Letters |

Volume | 121 |

Issue number | 7 |

Early online date | 17 Aug 2018 |

DOIs | |

Publication status | Published - 17 Aug 2018 |