论文标题
kolmogorov-nagumo平均值的热力学中Legendre转换结构的一致性
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
论文作者
论文摘要
我们显示了热力学中Legendre转换结构的鲁棒性，以用Kolmogorov-Nagumo非线性平均值替换标准线性平均值，以评估宏观物理可观察物的预期值。该陈述的结果是双重的：1）期望值与相应的Lagrange乘数之间的关系仍然存在于当前的形式主义中； 2）Gibbs方程以及其他热力学关系的普遍性不受理论中使用的平均值的结构的影响。
We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average to evaluate the expectation values of the macroscopic physical observables. The consequence of this statement is twofold: 1) the relationships between the expectation values and the corresponding Lagrange multipliers still hold in the present formalism; 2) the universality of the Gibbs equation as well as other thermodynamic relations are unaffected by the structure of the average used in the theory.
