Everything about Maxwell-boltzmann Distribution Law totally explained
The
Maxwell–Boltzmann distribution is a
probability distribution with applications in
physics and
chemistry. The most common application is in the field of
statistical mechanics. The
temperature of any (massive)
physical system is the result of the
motions of the
molecules and
atoms which make up the system. These particles have a range of different velocities, and the
velocity of any single particle constantly changes due to
collisions with other particles. However, the fraction of a large number of particles within a particular velocity range is nearly constant. The Maxwell distribution of velocities specifies this
fraction, for any velocity range, as a
function of the temperature of the system. It is named after
James Clerk Maxwell and
Ludwig Boltzmann.
The distribution can be thought of as the magnitude of a 3-dimensional
vector whose components are independent and
normally distributed with mean 0 and
standard deviation . If
are distributed as
, then
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