### Abstract

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

Pages (from-to) | 63-83 |

Number of pages | 21 |

Journal | Annual Review of Condensed Matter Physics |

Volume | 6 |

Early online date | 7 Apr 2014 |

DOIs | |

Publication status | Published - Mar 2015 |

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### Keywords

- cond-mat.stat-mech
- cond-mat.dis-nn
- cond-mat.soft

### Cite this

*Annual Review of Condensed Matter Physics*,

*6*, 63-83. https://doi.org/10.1146/annurev-conmatphys-031214-014336

**The statistical physics of athermal materials.** / Bi, Dapeng; Henkes, Silke; E. Daniels, Karen; Chakraborty, Bulbul.

Research output: Contribution to journal › Article

*Annual Review of Condensed Matter Physics*, vol. 6, pp. 63-83. https://doi.org/10.1146/annurev-conmatphys-031214-014336

}

TY - JOUR

T1 - The statistical physics of athermal materials

AU - Bi, Dapeng

AU - Henkes, Silke

AU - E. Daniels, Karen

AU - Chakraborty, Bulbul

PY - 2015/3

Y1 - 2015/3

N2 - At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a collection of microstates, each occurring with a given a priori probability that depends only on a few macroscopic parameters such as temperature, pressure, volume, and energy. In this review article, we discuss recent advances in establishing statistical ensembles for athermal materials. The broad class of granular and particulate materials is immune from the effects of thermal fluctuations because the constituents are macroscopic. In addition, interactions between grains are frictional and dissipative, which invalidates the fundamental postulates of equilibrium statistical mechanics. However, granular materials exhibit distributions of microscopic quantities that are reproducible and often depend on only a few macroscopic parameters. We explore the history of statistical ensemble ideas in the context of granular materials, clarify the nature of such ensembles and their foundational principles, highlight advances in testing key ideas, and discuss applications of ensembles to analyze the collective behavior of granular materials.

AB - At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a collection of microstates, each occurring with a given a priori probability that depends only on a few macroscopic parameters such as temperature, pressure, volume, and energy. In this review article, we discuss recent advances in establishing statistical ensembles for athermal materials. The broad class of granular and particulate materials is immune from the effects of thermal fluctuations because the constituents are macroscopic. In addition, interactions between grains are frictional and dissipative, which invalidates the fundamental postulates of equilibrium statistical mechanics. However, granular materials exhibit distributions of microscopic quantities that are reproducible and often depend on only a few macroscopic parameters. We explore the history of statistical ensemble ideas in the context of granular materials, clarify the nature of such ensembles and their foundational principles, highlight advances in testing key ideas, and discuss applications of ensembles to analyze the collective behavior of granular materials.

KW - cond-mat.stat-mech

KW - cond-mat.dis-nn

KW - cond-mat.soft

U2 - 10.1146/annurev-conmatphys-031214-014336

DO - 10.1146/annurev-conmatphys-031214-014336

M3 - Article

VL - 6

SP - 63

EP - 83

JO - Annual Review of Condensed Matter Physics

JF - Annual Review of Condensed Matter Physics

SN - 1947-5454

ER -