Effects of a Piecewise Polytropic Equation of State on Turbulent Fragmentation

Statistics – Computation

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Scientific paper

We study the effect of a piecewise polytropic equation of state on the formation of stellar clusters in turbulent, self-gravitating molecular clouds using three-dimensional, smoothed particle hydrodynamics simulations. We use the publicly available parallel code GADGET (Springel et al. 2001) in which we have implemented sink particles that can replace high-density gas cores, and with a uniform turbulent driving field.
Recently several of us conducted a systematic study of the effects of a varying polytropic index γ on turbulent fragmentation. Their results showed that γ determines how strongly self-gravitating gas fragments. However in their computation, γ was left strictly constant in each simulation. In this study we extend our previous work by using a piecewise polytropic equation of state changing γ at some chosen density. We investigate if a change in γ determines the characteristic mass of the gas clump spectrum and thus perhaps the turn-over mass of the IMF. Preliminary results changing γ from 0.7 to 1.1 seem to corroborate this hypothesis, but with a weaker than expected dependence on the chosen density. We conduct a parameter study on the density at which γ changes to specify its effect on the resulting mass spectra.
AKJ acknowledges support by the Kade Fellowship. M-MML acknowledges support by NSF CAREER grant AST99-85392. AKJ and RSK acknowledge support by the Emmy Noether Program of the Deutsche Forschungsgemeinschaft KL1385/1.

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