Influence of Alfvén waves on the Thermal Instability in the Interstellar Medium

The effect of Alfvén waves on the thermal instability of the Interstellar Medium (ISM) is investigated both analytically and numerically. A stability analysis of a finite amplitude circularly polarized Alfvén wave propagating parallel to an ambient magnetic field in a thermally unstable gas at thermal equilibrium is performed, leading to a dispersion relation which depends on 3 parameters, namely the square ratio of the sonic and Alfvén velocities (β), the wave amplitude and the ratio between the wave temporal period and the cooling time. Depending on the values of these 3 parameters, the Alfvén waves can stabilize the large-scale perturbations, destabilize those whose wavelength is a few times the Alfvén wavelength λAW or leave the growth rate of the short scales unchanged. In order to investigate the non-linear regime, two different numerical experiments are performed in a slab geometry. The first one deals with the development of an initial density perturbation in a thermally unstable gas in the presence of Alfvén waves. The second one addresses the influence of those waves on the thermal transition induced by a converging flow. The numerical results confirm the trends inferred from the analytic calculations, i.e. the waves prevent the instability at scales larger than λAW and trigger the growth of wavelengths close to λAW , therefore producing a very fragmented cold phase. The second numerical experiments shows that i) the magnetic pressure prevents the merging of the CNM fragments therefore maintaining the complex structure of the flow and organizing it into group of clouds ii) these groups of CNM clouds have an Alfvénic internal velocity dispersion iii) strong density fluctuations (≃ 10ρcnm) triggered by magnetic compression occur. We note that during this event there is no stiff variation of the longitudinal velocity field. This is at variance from the hydrodynamical case for which the clouds 2 Hennebelle & Passot: Influence of Alfvén waves on the thermal instability are uniform and do not contain significant internal motions except after cloud collisions. In this situation a strong density fluctuation occurs accompanied by a stationary velocity gradient through the cloud.