Crossover from the exact factor to the Boltzmann factor

Prentis JJ.; Stasevich TJ.; Andrus AE.

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Crossover from the exact factor to the Boltzmann factor

机译：从精确因子到玻尔兹曼因子的交叉

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We derive the exact physical statistics of a system in thermal equilibrium with different environments-a gas, a spin, and a Boltzmann environment. The crossover from the exact factor to the Boltzmann factor is parametrized by scaled energy variables. The precise conditions that generate the Boltzmann factor emerge naturally. Such an analytic representation of the exact factor, the crossover, and the Boltzmann limit are not found in the standard model-free derivations of the Boltzmann factor. (C) 1999 American Association of Physics Teachers. [References: 22]

机译：我们得出了在不同环境（气体，自旋和玻尔兹曼环境）下处于热平衡状态的系统的精确物理统计数据。从精确因子到玻尔兹曼因子的交叉由比例能量变量进行参数化。产生玻尔兹曼因子的精确条件自然而然地出现。在Boltzmann因子的标准无模型推导中找不到精确因子，交叉和Boltzmann极限的这种解析表示。（C）1999年美国物理教师协会。 [参考：22]

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《American journal of physics》 |1999年第6期|共8页
作者
Prentis JJ.; Stasevich TJ.; Andrus AE.;
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正文语种 eng
中图分类物理学;
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Number-14 simple arguments; J phys 63(2); Question number-14; Answer; Neuenschwander; dwight; e;

机译：14号简单参数;J phys 63（2）;问题14号;答案;Neuenschwander;德怀特;e;

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机译：从精确因子到玻尔兹曼因子的交叉
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Crossover from the exact factor to the Boltzmann factor

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