The nonlinear thermal instability in ISM: typical net cooling functions

Ali-Reza Khesali*, Mohmmad-Ali Bagherian
Department of Physics, Faculty of Basic Sciences, University of Mazandaran,
P.O. Box 47416-1467, Babolsar, Iran

Abstract. The nonlinear evolution of thermally unstable disturbances in plasma are investigated within the framework of one-dimensional fluid equations. The processes of heating and radiative cooling (cooling function) of the optically thin plasma are taken into account. A new statistical approach is presented to study the thermal instability to the interstellar medium ISM of an optically thin unmagnetized plasma. This approach makes possible to simplify the set of equations describing the instability, and using Lagrangian coordinates, to investigate the nonlinear dynamics of the instability analytically. The equations are solved both analytically and numerically by successive approximations assuming a thermal conduction coefficient T and cooling function coefficient of type
T a - T b . We discuss the nonlinear development of the isobaric mode of thermal instability in the atomic molecular clouds of ISM.

Keywords: Instability: general - ISM

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