Distribution function (physics): Difference between revisions

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clarify the phase space is single-particle, not the ordinary (whole system) phase space
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Here, N is the total number of particles and ''n'' is the number density of particles - the number of particles per unit volume, or the [[density]] divided by the mass of individual particles.
 
A distribution function may be specialised with respect to a particular set of dimensions. E.g. take the quantum mechanical six -dimensional phase space, <math>f(x,y,z;p_x,p_y,p_z)</math> and multiply by the total space volume, to give the momentum distribution i.e. the number of particles in the momentum phase space having approximately the [[momentum]] <math>(p_x,p_y,p_z)</math>.
 
Particle distribution functions are often used in [[plasma physics]] to describe wave-particle interactions and velocity-space instabilities. Distribution functions are also used in [[fluid mechanics]], [[statistical mechanics]] and [[nuclear physics]].