A study on the formation of field, binary or multiple stars: A 3D approach through dynamical system

We have studied a three-dimensional model using the concept of double-well potential to find out what kind of stars can be formed from filamentary molecular clouds depending on their density. We have shown the effect of both rotation and magnetic fields in the process of star formation. It is found that thin filamentary MCs can lead to the formation of field stars, and this occurs even in a rapidly rotating cloud or in a magnetized rotating cloud. In absence of a magnetic field, binary stars form from a moderately dense structure, whereas in presence of a magnetic field isolated field stars may also form. For a moderately high dense structure, the nature of stars depends on the combined effect of rotation and magnetic field strength. High dense and compressed filamentary MCs are favorable to form stellar associations or more massive star clusters.