### Abstract

A 'most probable state' equilibrium statistical theory for random distributions of hetons in a closed basin is developed here in the context of two-layer quasigeostrophic models for the spreading phase of open-ocean convection. The theory depends only on bulk conserved quantities such as energy, circulation, and the range of values of potential vorticity in each layer. The simplest theory is formulated for a uniform cooling event over the entire basin that triggers a homogeneous random distribution of convective towers. For a small Rossby deformation radius typical for open-ocean convection sites, the most probable states that arise from this theory strongly resemble the saturated baroclinic states of the spreading phase of convection, with a stabilizing barotropic rim current and localized temperature anomaly.

Original language | English (US) |
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Pages (from-to) | 6009-6013 |

Number of pages | 5 |

Journal | Proceedings of the National Academy of Sciences of the United States of America |

Volume | 96 |

Issue number | 11 |

DOIs | |

State | Published - May 25 1999 |

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### ASJC Scopus subject areas

- General
- Genetics

### Cite this

**An equilibrium statistical model for the spreading phase of open-ocean convection.** / Dibattista, Mark T.; Majda, Andrew J.

Research output: Contribution to journal › Article

*Proceedings of the National Academy of Sciences of the United States of America*, vol. 96, no. 11, pp. 6009-6013. https://doi.org/10.1073/pnas.96.11.6009

}

TY - JOUR

T1 - An equilibrium statistical model for the spreading phase of open-ocean convection

AU - Dibattista, Mark T.

AU - Majda, Andrew J.

PY - 1999/5/25

Y1 - 1999/5/25

N2 - A 'most probable state' equilibrium statistical theory for random distributions of hetons in a closed basin is developed here in the context of two-layer quasigeostrophic models for the spreading phase of open-ocean convection. The theory depends only on bulk conserved quantities such as energy, circulation, and the range of values of potential vorticity in each layer. The simplest theory is formulated for a uniform cooling event over the entire basin that triggers a homogeneous random distribution of convective towers. For a small Rossby deformation radius typical for open-ocean convection sites, the most probable states that arise from this theory strongly resemble the saturated baroclinic states of the spreading phase of convection, with a stabilizing barotropic rim current and localized temperature anomaly.

AB - A 'most probable state' equilibrium statistical theory for random distributions of hetons in a closed basin is developed here in the context of two-layer quasigeostrophic models for the spreading phase of open-ocean convection. The theory depends only on bulk conserved quantities such as energy, circulation, and the range of values of potential vorticity in each layer. The simplest theory is formulated for a uniform cooling event over the entire basin that triggers a homogeneous random distribution of convective towers. For a small Rossby deformation radius typical for open-ocean convection sites, the most probable states that arise from this theory strongly resemble the saturated baroclinic states of the spreading phase of convection, with a stabilizing barotropic rim current and localized temperature anomaly.

UR - http://www.scopus.com/inward/record.url?scp=0033034111&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033034111&partnerID=8YFLogxK

U2 - 10.1073/pnas.96.11.6009

DO - 10.1073/pnas.96.11.6009

M3 - Article

VL - 96

SP - 6009

EP - 6013

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

SN - 0027-8424

IS - 11

ER -