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日期:2026-04-23
Kinetic Molecular Theory Maxwell Distribution Concepts In the context of the Kinetic Molecular Theory of Gases, a gas contains a large number of particles in rapid motions. Each particle has a different speed, and each collision between particles changes ...
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日期:2026-04-19
The Maxwell (or Maxwell-Boltzmann) distribution gives the distribution of speeds of molecules in thermal equilibrium as given by statistical mechanics. Defining a=sqrt(kT/m), where k is the Boltzmann constant, T is the temperature, m is the mass of a mole...
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日期:2026-04-18
Here, is the number density of the molecules. We have omitted the variable in the argument of , since clearly does not depend on position. In other words, the distribution of molecular velocities is uniform in space. This is hardly surprising, since there...
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日期:2026-04-19
for x = 0,1,2,..., and ≥ 0, where The function serves as a normalization constant so the probability mass function sums to one. Note that does not have a closed form. The additional parameter which does not appear in the Poisson distribution allows for ad...
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日期:2026-04-23
The Maxwell–Boltzmann distribution describes particle speeds in gases, where the particles do not constantly interact with each other but move freely between short collisions. It describes the probability of a particle's speed (the magnitude of its veloci...
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日期:2026-04-19
Speed distribution as a sum over all directions To put the three-dimensional energy distribution into the form of the Maxwell speed distribution, we need to sum over all directions. One way to visualize that sum is as the development of a spherical shell ...
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日期:2026-04-24
Imagine a volume of gas at the top of a planet’s atmosphere. The gas will have a range of velocities described by the Maxwell distribution. If a particle is moving sufficiently fast (i.e. with a speed greater than the escape velocity) and moving away from...
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日期:2026-04-21
Maxwell-Boltzmann distribution law, a description of the statistical distribution of the energies of the molecules of a classical gas. This distribution was first set forth by the Scottish physicist James Clerk Maxwell in 1859, on the basis of probabilist...




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