In physics, the Jeans instability causes the collapse of interstellar gas clouds and subsequent star formation. It occurs when the internal gas pressure is not strong enough to prevent gravitational collapse of a region filled with matter. For stability, the cloud must be in hydrostatic equilibrium, which in case of a spherical cloud translates to:
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... Jeans' length is the critical radius of a cloud (typically a cloud of interstellar dust) where thermal energy, which causes the cloud to expand, is counteracted by gravity, which ... It is named after the British astronomer Sir James Jeans, who concerned himself with the stability of spherical nebula in the early 1900s ... The formula for Jeans Length is where is Boltzmann's constant, is the temperature of the cloud, is the radius of the cloud, is the mass per particle in the cloud, is the Gravitational Constant and ...
... The Jeans mass is named after the British physicist Sir James Jeans, who considered the process of gravitational collapse within a gaseous cloud ... The approximate value of the Jeans mass may be derived through a simple physical argument ... The condition for gravitational collapse is therefore The resultant Jeans length is approximately This length scale is known as the Jeans length ...
... Jeans instability can also give rise to fragmentation in certain conditions ... For an ideal gas, Polytropic equation of state, Jeans mass, Thus, If adiabatic index, Jeans mass increases with increasing density while if Jeans mass decreases with increasing density ... collapse density always increases, thus in the second case Jeans mass will decrease during collapse allowing smaller overdense regions to collapse leading to ...
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