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Thermal velocity : ウィキペディア英語版
Thermal velocity

The thermal velocity or thermal speed is a typical velocity of the thermal motion of particles which make up a gas, liquid, etc. Thus, indirectly, thermal velocity is a measure of temperature. Technically speaking it is a measure of the width of the peak in the Maxwell–Boltzmann particle velocity distribution. Note that in the strictest sense ''thermal velocity'' is not a velocity, since ''velocity'' usually describes a vector rather than simply a scalar speed.
Since the thermal velocity is only a "typical" velocity, a number of different definitions can be and are used.
Taking k_B to be the Boltzmann constant, T is the temperature, and m is the mass of a particle, then we can write the different thermal velocities:
== In one dimension ==

If v_ is defined as the root mean square of the velocity in any one dimension (i.e. any single direction), then
:v_=\sqrt}.
If v_ is defined as the mean of the magnitude of the velocity in any one dimension (i.e. any single direction), then
:v_=\sqrt}.
If v_ is defined as the 1/e half-width of the thermal distribution or
if v_ is defined such that a particle with this speed has an energy of k_B T, then
:v_=\sqrt}.
By all of these definitions v_ falls in the range of
:v_=(1.1\pm 0.3)\sqrt}.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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