The nonlinear theory of thermal instability - The intermediate- and short-wavelength limits

Details The nonlinear theory of thermal instability - The intermediate- and short-wavelength limits The nonlinear theory of thermal instability - The intermediate- and short-wavelength limits

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...347.1012m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 347, Dec. 15, 1989, p. 1012-1020.

Astronomy and Astrophysics

Astrophysics

27

Magnetohydrodynamic Stability, Plasma Heating, Plasma Temperature, Temperature Distribution, Thermal Stability, Interstellar Gas, One Dimensional Flow, Optical Thickness, Radiative Heat Transfer

Scientific paper

The nonlinear evolution of thermally unstable disturbances in a plasma is investigated within the framework of one-dimensional fluid equations. The processes of heating and radiative cooling of the optically thin plasma are taken into account. The limits of intermediate and short wavelengths are considered. In these cases, the characteristic time scale of thermal processes is considerably longer than the acoustic time scale, so that unstable density and temperature perturbations grow in pressure equilibrium with their surroundings. This fact makes it possible to simplify the set of equations describing the instability, and, by using Lagrangian coordinates, to investigate the nonlinear dynamics of the instability analytically. The case of the intermediate-wavelength limit, where the linear theory of Field predicts the maximum growth rate, which presents the most important (and the simplest) case, is investigated in detail.

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