### Abstract

Relaxation in glasses is often approximated by a stretched-exponential form: (Formula presented.). Here, we show that the relaxation in a model of sheared non-Brownian suspensions developed by Corté et al. (Nat Phys 4:420–424, 2008) can be well approximated by a stretched exponential with an exponent (Formula presented.) that depends on the strain amplitude: (Formula presented.). In a one-dimensional version of the model, we show how the relaxation originates from density fluctuations in the initial particle configurations. Our analysis is in good agreement with numerical simulations and reveals a functional form for the relaxation that is distinct from, but well approximated by, a stretched-exponential function.

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

Pages (from-to) | 1-14 |

Number of pages | 14 |

Journal | Journal of Statistical Physics |

DOIs | |

State | Accepted/In press - Jan 31 2017 |

### Fingerprint

### Keywords

- Glasses
- Particulate media
- Relaxation
- Transport processes

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**A Model for Approximately Stretched-Exponential Relaxation with Continuously Varying Stretching Exponents.** / Paulsen, Joseph D.; Nagel, Sidney R.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - A Model for Approximately Stretched-Exponential Relaxation with Continuously Varying Stretching Exponents

AU - Paulsen,Joseph D.

AU - Nagel,Sidney R.

PY - 2017/1/31

Y1 - 2017/1/31

N2 - Relaxation in glasses is often approximated by a stretched-exponential form: (Formula presented.). Here, we show that the relaxation in a model of sheared non-Brownian suspensions developed by Corté et al. (Nat Phys 4:420–424, 2008) can be well approximated by a stretched exponential with an exponent (Formula presented.) that depends on the strain amplitude: (Formula presented.). In a one-dimensional version of the model, we show how the relaxation originates from density fluctuations in the initial particle configurations. Our analysis is in good agreement with numerical simulations and reveals a functional form for the relaxation that is distinct from, but well approximated by, a stretched-exponential function.

AB - Relaxation in glasses is often approximated by a stretched-exponential form: (Formula presented.). Here, we show that the relaxation in a model of sheared non-Brownian suspensions developed by Corté et al. (Nat Phys 4:420–424, 2008) can be well approximated by a stretched exponential with an exponent (Formula presented.) that depends on the strain amplitude: (Formula presented.). In a one-dimensional version of the model, we show how the relaxation originates from density fluctuations in the initial particle configurations. Our analysis is in good agreement with numerical simulations and reveals a functional form for the relaxation that is distinct from, but well approximated by, a stretched-exponential function.

KW - Glasses

KW - Particulate media

KW - Relaxation

KW - Transport processes

UR - http://www.scopus.com/inward/record.url?scp=85011284420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85011284420&partnerID=8YFLogxK

U2 - 10.1007/s10955-017-1723-0

DO - 10.1007/s10955-017-1723-0

M3 - Article

SP - 1

EP - 14

JO - Journal of Statistical Physics

T2 - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

ER -