### Abstract

The validity of the analytic large aspect ratio, high-β equilibria developed by Cowley et al. [Phys. Fluids B 3, 2066 (1991)] is extended to include finite aspect ratio equilibria with q^{2}≫1, where q is the safety factor. These high-β equilibria have two regions. Most of the volume lies in the "core region," where ψ=ψ(R). The flux surfaces close in the "boundary layer region," which has thickness δ. The solutions are valid when δ/a∼ (√∈/βq^{2}) is small, where a is the minor radius. Thus, finite ε is allowed when q^{2} is large. The equilibria are completely specified by the midplane profiles of pressure p(R) and poloidal magnetic field B_{P}(R) and the shape of the plasma boundary, all of which can be measured experimentally. Note the departure from customary specification of p(ψ), q(ψ), or F(ψ). A fast numerical code, requiring a few seconds to execute, has been written to compute and illustrate the analytic high-β equilibria. The qualitative features of high-β_{p} tokamaks are discussed in detail.

Original language | English (US) |
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Pages (from-to) | 266-274 |

Number of pages | 9 |

Journal | Physics of Plasmas |

Volume | 3 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1996 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

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## Cite this

*Physics of Plasmas*,

*3*(1), 266-274. https://doi.org/10.1063/1.871852