Use a Lagrange multiplier technique to show that for a system characterized by the following modified Maxwell-Boltzmann
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Use a Lagrange multiplier technique to show that for a system characterized by the following modified Maxwell-Boltzmann distribution function
where Tis constant, the entropy S, defined by
is a maximum when the density n is constant, independent of r. Consider that the system has a total of N particles in a fixed volume V at a temperature T.
Transcribed Image Text:
m f(x,+) = n(x) (2%r)*/2 = exp mv². 2kT
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To show that the entropy S is maximized when the density n is constant and independent of r we need ...View the full answer
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