Maximum entropy principle for rarefied polyatomic gases

被引:88
作者
Pavic, Milana [1 ,2 ]
Ruggeri, Tommaso [3 ]
Simic, Srboljub [4 ]
机构
[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Trg Dositeja Obradovica 4, Serbia
[2] PRES Univ Paris, ENS Cachan, CMLA, F-94235 Cachan, France
[3] Univ Bologna, Dept Math & Res Ctr Appl Math CIRAM, I-40123 Bologna, Italy
[4] Univ Novi Sad, Fac Tech Sci, Dept Mech, Trg Dositeja Obradovica 6, Serbia
关键词
Maximum entropy principle; Kinetic theory of gases; Extended thermodynamics; DISSIPATIVE HYPERBOLIC SYSTEMS; EXTENDED THERMODYNAMICS; CONVEX ENTROPY; SMOOTH SOLUTIONS; EQUATIONS; EQUILIBRIUM; EXISTENCE; STATE; MODEL;
D O I
10.1016/j.physa.2012.12.006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The aim of this paper is to show that the procedure of maximum entropy principle for the closure of the moments equations for rarefied monatomic gases can be extended also to polyatomic gases. The main difference with respect to the usual procedure is the existence of two hierarchies of macroscopic equations for moments of suitable distribution function, in which the internal energy of a molecule is taken into account. The field equations for 14 moments of the distribution function, which include dynamic pressure, are derived. The entropy and the entropy flux are shown to be a generalization of the ones for classical Grad's distribution. The results are in perfect agreement with the recent macroscopic approach of extended thermodynamics for real gases. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1302 / 1317
页数:16
相关论文
共 33 条
[1]  
Arima T., 2011, CONTIN MECH THERMODY
[2]   Extended thermodynamics of real gases with dynamic pressure: An extension of Meixner's theory [J].
Arima, Takashi ;
Taniguchi, Shigeru ;
Ruggeri, Tommaso ;
Sugiyama, Masaru .
PHYSICS LETTERS A, 2012, 376 (44) :2799-2803
[3]   Asymptotic Behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy [J].
Bianchini, Stefano ;
Hanouzet, Bernard ;
Natalini, Roberto .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 60 (11) :1559-1622
[4]  
BOILLAT G, 1974, CR ACAD SCI A MATH, V278, P909
[5]   Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions [J].
Boillat, G ;
Ruggeri, T .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 137 (04) :305-320
[6]   Moment equations in the kinetic theory of gases and wave velocities [J].
Boillat, G ;
Ruggeri, T .
CONTINUUM MECHANICS AND THERMODYNAMICS, 1997, 9 (04) :205-212
[7]   STATISTICAL COLLISION MODEL FOR MONTE-CARLO SIMULATION OF POLYATOMIC GAS-MIXTURE [J].
BORGNAKKE, C ;
LARSEN, PS .
JOURNAL OF COMPUTATIONAL PHYSICS, 1975, 18 (04) :405-420
[8]  
BOURGAT JF, 1994, EUR J MECH B-FLUID, V13, P237
[9]  
Brini F, 2002, CONTINUUM MECH THERM, V14, P165, DOI 10.1007/S001610100060
[10]  
CHANG CSW, 1964, STUDIES STAT MECH, V0002, P00243