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摘要翻译：
一般的Boltzmann-Gibbs熵不适用于依赖于控制参数的系统，而这些控制参数会产生不同的平均能量值。这样的系统不能给出非平衡熵值和平衡熵值之间的正确比较。Klimontovich定理通过能量的重整化和护航分布来解决这个问题。由于非扩展热统计是玻尔兹曼-吉布斯熵的推广，它也表现出同样的缺陷。为了弥补这一点，我们给出了Klimontovich定理的非扩展推广。我们证明了这种推广除了能量的重整化外，还需要使用普通概率和相关的相对熵。最后，我们给出了Van der Pol振子的广义S定理。
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英文标题：
《Klimontovich`s S theorem in nonextensive formalism and the problem of
constraints》
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作者：
G. B. Bagci
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
Ordinary Boltzmann-Gibbs entropy is inadequate to be used in systems depending on a control parameter that yield different mean energy values. Such systems fail to give the correct comparison between the off-equilibrium and equilibrium entropy values. Klimontovich's S theorem solves this problem by renormalizing energy and making use of escort distributions. Since nonextensive thermostatistics is a generalization of Boltzmann-Gibbs entropy, it too exhibits this same deficiency. In order to remedy this, we present the nonextensive generalization of Klimontovich's S theorem. We show that this generalization requires the use of ordinary probability and the associated relative entropy in addition to the renormalization of energy. Lastly, we illustrate the generalized S theorem for the Van der Pol oscillator.
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PDF链接：
https://arxiv.org/pdf/705.2053
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