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大学物理热力学论文(Thermodynamics of University Physics)
大学物理热力学论文(Thermodynamics of University Physics)
The distribution law of translational kinetic energy is derived from Maxwells law of velocity distribution
Abstract: Maxwell first put statistical methods into the theory of molecular motion, firstly derived rate of gas molecules distribution rate, according to the Maxwell distribution function, calculate the gas molecular kinetic energy distribution law of corresponding, and derived with Maxwell distribution function of some similar properties, calculate the kinetic energy of the most probable value and the average value. And compare the similarities and differences.
Maxwell introduced the statistical method into the molecular dynamics theory. Firstly, the law of gas velocity distribution was derived theoretically. This is the statistical law for a large number of gas molecules. We do further study, according to the results of Maxwell velocity distribution function is derived, the corresponding kinetic energy distribution law, and derived with Maxwell distribution function similar to some properties and calculated the kinetic energy of the most probable value and average value, and thus verify its correctness.
Methods: using the method of analogy with the same thinking, based on Maxwell velocity distribution function, for further study, expressions can reflect the molecular average kinetic energy in the vicinity of the unit energy interval number and the total number of molecules ratio function. Further more, some properties corresponding to Maxwell distribution function are introduced and some differences are compared and analyzed.
Maxwell speed distribution
This function is called the rate distribution function of gas molecules, and Maxwell further points out that in equilibrium states, the molecular rate distribution function can be written in concrete terms
In the formula, T is the thermodynamic temperature of the gas system, K is the Boltzmann constant, and M is the mass of a single molecule. Equation (8-30) is c
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