In the kinetic theory of gases, equilibrium is attained
Chapter 14, Problem 21(choose chapter or problem)
In the kinetic theory of gases, equilibrium is attained when the entropy isminimizedsubjecttoconstantmass,momentum,andenergy.Findthe resultingdistributionofparticlesf(v)wherevdenotesthevelocity.Here entropy = f(v)log f(v)dv= H, energy = 1 2|v|2 f(v)dv= E,mass = f(v)dv=1, and momentum=vf(v)dv=0.
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