## Abstract

The nonlinear growth and saturation of the negative compressibility η_{i} instability in an inhomogeneous plasma confined by a straight magnetic field is investigated. A set of nonlinear equations that describe the two-dimensional fluid motion along and across (in the direction of ▽_{⊥} T_{i}) the local magnetic field is derived. These equations are basically the same as those describing a one-dimensional nonlinear sound wave, but the compressibility is negative for η_{i}=d log(T_{i})/log(n_{i}) exceeding a threshold. The nonlinearity in the equations arises from the parallel convective motion of the fluid. The solution of these equations evolves to a final state in which plasma flows are driven into a low temperature region along the local magnetic field and then jet across the magnetic field along ▽_{⊥} T_{i} in narrow streams. The structure of these streams is consistent with previous two-dimensional simulations. Results for the scaling of the transport due to these streams are presented.

Original language | American English |
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Pages (from-to) | 2591-2599 |

Number of pages | 9 |

Journal | Physics of Fluids B |

Volume | 2 |

Issue number | 11 |

DOIs | |

State | Published - 1990 |