| 相对论修正对麦克斯韦-玻耳兹曼分布律的影响 |
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| 引用本文： | 夏天,张学龙,张国营. 相对论修正对麦克斯韦-玻耳兹曼分布律的影响[J]. 物理与工程, 2009, 19(2): 15-17 |
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| 作者姓名： | 夏天 张学龙 张国营 |
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| 作者单位： | 1. 上海理工大学医疗器械学院,上海医疗器械高等专科学校,上海,200093
2. 中国矿业大学理学院物理系,江苏,徐州,221008 |
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| 摘 要： | 在本文中，分别推导了低速情形（E≈m0c^2＋p^2/2m0）和一般情形（E=√p^2c^2＋m0^2c^4）下考虑相对论修正的动量分布表达式和速率分布表达式，发现低速情形下修正后的动量分布形式与不考虑修正的动量分布在形式上一致，而速率分布形式发生了改变；对一般情形的动量分布函数和速率分布函数进行了数值模拟并对结果进行了必要讨论．我们发现当β减少时整个动量分布曲线向大动量区域延伸，当β较大，即温度较低使得p〈1时，一般情形将近似为低速情形．
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| 关 键 词： | 麦克斯韦速率分布 玻耳兹曼分布律 相对论修正 |
EFFECT OF RELATIVISTIC CORRECTION ON MAXWELL-BOLTZMANN DISTRIBUTION LAW |
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| Xia Tian,Zhang Xuelong,Zhang Guoying. EFFECT OF RELATIVISTIC CORRECTION ON MAXWELL-BOLTZMANN DISTRIBUTION LAW[J]. Physics and Engineering, 2009, 19(2): 15-17 |
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| Authors: | Xia Tian Zhang Xuelong Zhang Guoying |
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| Affiliation: | 1 Shanghai Medical Instrument College;Shanghai 200093;2 Department of Physics;College of Sciences;China University of Mining and Technology;Xuzhou Jiangsu 221008 |
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| Abstract: | In this paper,the momentum spectrum function(MSF) and the speed distribution function(SDF) which are taken account of relativity corrections at low speed situation and general situation have been deduced,respectively.It has been found that the form of the modified MSF at low speed situation is same as the one without being corrected,while there are much differences between the modified SDF and the one without being corrected at low speed situation;we have carried out numerical simulation to the MSF and the ... |
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| Keywords: | Maxwell speed distribution Boltzmann distribution law relativistic correction |
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