### Abstract

The slow dynamics of granular flow is studied as an extension of static granular problems, which, as a consequence of shaking or related regimes, can be studied by the methods of statistical mechanics. For packed (i.e. 'jammed'), hard and rough objects, kinetic energy is a minor and ignorable quantity, as is strain. Hence, in the static case, the stress equations need supplementing by 'missing equations' depending solely on configurations. These are in the literature; this paper extends the equilibrium studies to slow dynamics, claiming that the strain rate (which is a consequence of flow, not of elastic strain) takes the place of stress, and as before, the analogue of Stokes's equation has to be supplemented by new 'missing equations' which are derived and which depend only on configurations.

Original language | English (US) |
---|---|

Pages (from-to) | 741-751 |

Number of pages | 11 |

Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Volume | 361 |

Issue number | 1805 |

DOIs | |

State | Published - Apr 15 2003 |

### Fingerprint

### Keywords

- Colloids
- Dynamics
- Forces
- Granular
- Jamming

### ASJC Scopus subject areas

- General

### Cite this

*Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*361*(1805), 741-751. https://doi.org/10.1098/rsta.2002.1162

**Jammed systems in slow flow need a new statistical mechanics.** / Brujić, Jasna; Edwards, Sam F.; Grinev, Dmitri; Tüzün, U.; Sherrington, D.; McLeish, T. C B.

Research output: Contribution to journal › Article

*Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol. 361, no. 1805, pp. 741-751. https://doi.org/10.1098/rsta.2002.1162

}

TY - JOUR

T1 - Jammed systems in slow flow need a new statistical mechanics

AU - Brujić, Jasna

AU - Edwards, Sam F.

AU - Grinev, Dmitri

AU - Tüzün, U.

AU - Sherrington, D.

AU - McLeish, T. C B

PY - 2003/4/15

Y1 - 2003/4/15

N2 - The slow dynamics of granular flow is studied as an extension of static granular problems, which, as a consequence of shaking or related regimes, can be studied by the methods of statistical mechanics. For packed (i.e. 'jammed'), hard and rough objects, kinetic energy is a minor and ignorable quantity, as is strain. Hence, in the static case, the stress equations need supplementing by 'missing equations' depending solely on configurations. These are in the literature; this paper extends the equilibrium studies to slow dynamics, claiming that the strain rate (which is a consequence of flow, not of elastic strain) takes the place of stress, and as before, the analogue of Stokes's equation has to be supplemented by new 'missing equations' which are derived and which depend only on configurations.

AB - The slow dynamics of granular flow is studied as an extension of static granular problems, which, as a consequence of shaking or related regimes, can be studied by the methods of statistical mechanics. For packed (i.e. 'jammed'), hard and rough objects, kinetic energy is a minor and ignorable quantity, as is strain. Hence, in the static case, the stress equations need supplementing by 'missing equations' depending solely on configurations. These are in the literature; this paper extends the equilibrium studies to slow dynamics, claiming that the strain rate (which is a consequence of flow, not of elastic strain) takes the place of stress, and as before, the analogue of Stokes's equation has to be supplemented by new 'missing equations' which are derived and which depend only on configurations.

KW - Colloids

KW - Dynamics

KW - Forces

KW - Granular

KW - Jamming

UR - http://www.scopus.com/inward/record.url?scp=0141991958&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141991958&partnerID=8YFLogxK

U2 - 10.1098/rsta.2002.1162

DO - 10.1098/rsta.2002.1162

M3 - Article

C2 - 12871622

AN - SCOPUS:0141991958

VL - 361

SP - 741

EP - 751

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 0962-8428

IS - 1805

ER -