Fragmentation of Isothermal Sheet-Like Clouds. II ---Full Nonlinear Numerical Simulations---

Details Fragmentation of Isothermal Sheet-Like Clouds. II ---Full Nonlinear Numerical Simulations--- Fragmentation of Isothermal Sheet-Like Clouds. II ---Full Nonlinear Numerical Simulations---

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987pthph..78.1273m&link_type=abstract

Progress of Theoretical Physics, Vol. 78, No. 6, pp. 1273-1287

Physics

54

Scientific paper

The fragmentational instability of an infinite isothermal gas layer, extending infinitely in the x- and y-direction, is investigated by means of three-dimensional numerical simulations. The nonlinear growth of perturbations with the initial wave pattern, cos(kxx) x cos(kyy), is calculated for various values of the wave numbers kx and ky. For unstable modes, the fragmentation of a layer and the subsequent collapse of fragments are simulated. It is found that, if the ratio, ky/kx, is in the range, 0.8-1.2, each fragment collapses almost axisymmetrically without flattering along the z-axis. However, if the ratio is greater than 1.2 or less than 0.8, each fragment becomes more and more slender as it collapse and finally a thin filament is formed. We also calculate the growth of random perturbations and confirm that a large number of filaments are formed. As a result of the computations, we construct a scenario of fragmentation and subsequent evolution of a sheet-like cloud such that most of the fragments become finally thin filaments and re-fragment. This scenario explains why filamentary structures often appear in interstellar clouds observed. We also find that the mass function of the final fragments is expressed in the form N ~ m(-2) , where N and m are the number and mass, respectively.

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