论文标题
具有最大熵原理的开放系统的无Xtterivative热力学的双重形式主义
The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
论文作者
论文摘要
我们研究开放系统的无XTAGIDENT热力学。根据最大熵原理，双重幂律Q分布函数通过使用双粒子数定义重新定义，并假设化学电位在两组平行的形式主义中是恒定的，其中为开放系统得出了热力学量的基本热力学方程，并为开放系统得出了对热力学数量的双重解释。通过引入Legendre变换的平行结构，在开放系统中还推导了具有双重解释数量的其他热力学方程，然后推断出几种双重热力学关系。人们可以很容易地发现，二元关系之间存在相关性，从中发现等效的规则是，tsallis因子在用恒定体积或恒定熵的部分衍生物计算中是不变的。使用此规则，可以找到更多的相关性。 Lagrange内部能量和压力的统计表达很容易获得。
We study the nonextensive thermodynamics for open systems. On the basis of the maximum entropy principle, the dual power-law q-distribution functions are re-deduced by using the dual particle number definitions and assuming that the chemical potential is constant in the two sets of parallel formalisms, where the fundamental thermodynamic equations with dual interpretations of thermodynamic quantities are derived for the open systems. By introducing parallel structures of Legendre transformations, other thermodynamic equations with dual interpretations of quantities are also deduced in the open systems, and then several dual thermodynamic relations are inferred. One can easily find that there are correlations between the dual relations, from which an equivalent rule is found that the Tsallis factor is invariable in calculations of partial derivative with constant volume or constant entropy. Using this rule, more correlations can be found. And the statistical expressions of the Lagrange internal energy and pressure are easily obtained.
