Abstract
As star-forming clouds collapse, the gas within them fragments to
ever-smaller masses, until the cascade of fragmentation is arrested at some
mass scale, making smaller objects progressively less likely to form. This
scale defines the peak of the initial mass function (IMF). In this paper we
analyse radiation-magnetohydrodynamics simulations of star cluster formation in
typical Milky Way environments in order to determine what physical process
limits fragmentation in them. We examine the regions in the vicinity of stars
that form in the simulations to determine the amounts of mass that are
prevented from fragmenting by thermal and magnetic pressure. We show that, on
small scales, thermal pressure enhanced by stellar radiation heating is the
dominant mechanism limiting the ability of the gas to further fragment. In the
brown dwarf mass regime, $0.01$ $M_ødot$, the typical object that forms
in the simulations is surrounded by gas whose mass is several times its own
that is unable to escape or fragment, and instead is likely to accrete. This
mechanism explains why $0.01$ $M_ødot$ objects are rare: unless an
outside agent intervenes (e.g., a shock strips away the gas around them), they
will grow by accreting the warmed gas around them. In contrast, by the time
stars grow to masses of $0.2$ $M_ødot$, the mass of heated gas is only
tens of percent of the central star mass, too small to alter its final mass by
a large factor. This naturally explains why the IMF peak is at $0.2-0.3$
$M_ødot$.
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