### Abstract

A Stieltjes integral representation for the effective diffusivity of a passive scalar in time-dependent, incompressible flows is developed. The representation provides a summability formula for the perturbative expansion of the diffusivity in powers of the Péclet number. In particular, upper and lower bounds on the effective diffusivity are obtained from Padé approximants of the series.

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

Pages (from-to) | 3249-3251 |

Number of pages | 3 |

Journal | Physical Review E |

Volume | 52 |

Issue number | 3 |

DOIs | |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E*,

*52*(3), 3249-3251. https://doi.org/10.1103/PhysRevE.52.3249

**Stieltjes integral representation of effective diffusivities in time-dependent flows.** / Avellaneda, Marco; Vergassola, M.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 52, no. 3, pp. 3249-3251. https://doi.org/10.1103/PhysRevE.52.3249

}

TY - JOUR

T1 - Stieltjes integral representation of effective diffusivities in time-dependent flows

AU - Avellaneda, Marco

AU - Vergassola, M.

PY - 1995

Y1 - 1995

N2 - A Stieltjes integral representation for the effective diffusivity of a passive scalar in time-dependent, incompressible flows is developed. The representation provides a summability formula for the perturbative expansion of the diffusivity in powers of the Péclet number. In particular, upper and lower bounds on the effective diffusivity are obtained from Padé approximants of the series.

AB - A Stieltjes integral representation for the effective diffusivity of a passive scalar in time-dependent, incompressible flows is developed. The representation provides a summability formula for the perturbative expansion of the diffusivity in powers of the Péclet number. In particular, upper and lower bounds on the effective diffusivity are obtained from Padé approximants of the series.

UR - http://www.scopus.com/inward/record.url?scp=0001346893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001346893&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.52.3249

DO - 10.1103/PhysRevE.52.3249

M3 - Article

VL - 52

SP - 3249

EP - 3251

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 3

ER -