Parameters of State in the Global Thermodynamics of Binary Ideal Gas Mixtures in a Stationary Heat Flow

被引:3
|
作者
Maciolek, Anna [1 ,2 ]
Holyst, Robert [1 ]
Makuch, Karol [1 ]
Gizynski, Konrad [1 ]
Zuk, Pawel J. [1 ,3 ]
Martyushev, Leonid M.
机构
[1] Polish Acad Sci, Inst Phys Chem, Kasprzaka 44-52, PL-01224 Warsaw, Poland
[2] Max Planck Inst Intelligente Syst Stuttgart, Heisenbergstr 3, D-70569 Stuttgart, Germany
[3] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
关键词
non-equilibrium thermodynamics; entropy and internal energy; mixtures and parameters of state;
D O I
10.3390/e25111505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we formulate the first law of global thermodynamics for stationary states of the binary ideal gas mixture subjected to heat flow. We map the non-uniform system onto the uniform one and show that the internal energy U(S*,V,N1,N2,f1*,f2*) is the function of the following parameters of state: a non-equilibrium entropy S*, volume V, number of particles of the first component, N1, number of particles of the second component N2 and the renormalized degrees of freedom. The parameters f1*,f2*, N1,N2 satisfy the relation (N1/(N1+N2))f1*/f1+(N2/(N1+N2))f2*/f2=1 (f1 and f2 are the degrees of freedom for each component respectively). Thus, only 5 parameters of state describe the non-equilibrium state of the binary mixture in the heat flow. We calculate the non-equilibrium entropy S* and new thermodynamic parameters of state f1*,f2* explicitly. The latter are responsible for heat generation due to the concentration gradients. The theory reduces to equilibrium thermodynamics, when the heat flux goes to zero. As in equilibrium thermodynamics, the steady-state fundamental equation also leads to the thermodynamic Maxwell relations for measurable steady-state properties.
引用
收藏
页数:13
相关论文
共 50 条