Biró T S, Ván P
Department of Theoretical Physics, KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):061147. doi: 10.1103/PhysRevE.83.061147. Epub 2011 Jun 27.
Nonextensive thermodynamics is criticized by the statement that the zeroth law cannot be satisfied with nonadditive composition rules [corrected]. In this paper we determine the general functional form of those nonadditive composition rules that are compatible with the zeroth law of thermodynamics. We find that this general form is additive for the formal logarithms of the original quantities and the familiar relations of thermodynamics apply to these. Our result offers a possible solution to the long-standing questions about equilibrium between extensive and nonextensive systems or systems with different nonextensivity parameters.
非广延热力学受到这样一种说法的批评，即零定律不能用非加和性组成规则来满足[已修正]。在本文中，我们确定了那些与热力学零定律兼容的非加和性组成规则的一般函数形式。我们发现，这种一般形式对于原始量的形式对数是加和性的，并且热力学的常见关系适用于这些对数。我们的结果为关于广延系统和非广延系统之间或具有不同非广延性参数的系统之间平衡的长期问题提供了一种可能的解决方案。
