Symmetry group and group representations associated with the thermodynamic covariance principle

doi:10.1103/PhysRevE.94.042103

	Symmetry group and group representations associated with the thermodynamic covariance principle
	Sonnino, Giorgio 1,2; Evslin, Jarah 3; Sonnino, Alberto 4; Steinbrecher, Gyorgy 5; Tirapegui, Enrique 6
刊名	PHYSICAL REVIEW E
	2016-10-03
卷号	94 页码:17
ISSN号	2470-0045
DOI	10.1103/PhysRevE.94.042103
英文摘要	The main objective of this work [previously appeared in literature, the thermodynamical field theory (TFT)] is to determine the nonlinear closure equations (i.e., the flux-force relations) valid for thermodynamic systems out of Onsager's region. The TFT rests upon the concept of equivalence between thermodynamic systems. More precisely, the equivalent character of two alternative descriptions of a thermodynamic system is ensured if, and only if, the two sets of thermodynamic forces are linked with each other by the so-called thermodynamic coordinate transformations (TCT). In this work, we describe the Lie group and the group representations associated to the TCT. The TCT guarantee the validity of the so-called thermodynamic covariance principle (TCP): The nonlinear closure equations, i.e., the flux-force relations, everywhere and in particular outside the Onsager region, must be covariant under TCT. In other terms, the fundamental laws of thermodynamics should be manifestly covariant under transformations between the admissible thermodynamic forces, i.e., under TCT. The TCP ensures the validity of the fundamental theorems for systems far from equilibrium. The symmetry properties of a physical system are intimately related to the conservation laws characterizing that system. Noether's theorem gives a precise description of this relation. We derive the conserved (thermodynamic) currents and, as an example of calculation, a system out of equilibrium (tokamak plasmas) where the validity of TCP imposed at the level of the kinetic equations is also analyzed.
资助项目	NSFC MianShang Grant[11375201]
WOS关键词	IRREVERSIBLE-PROCESSES ; RECIPROCAL RELATIONS ; PLASMA
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000384475600003
资助机构	NSFC MianShang Grant
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/43417]
专题	中国科学院近代物理研究所
通讯作者	Sonnino, Giorgio
作者单位	1.ULB, Dept Theoret Phys & Math, Campus Pl CP 231,Bvd Triomphe, B-1050 Brussels, Belgium 2.RMS, Av Renaissance 30, B-1000 Brussels, Belgium 3.Chinese Acad Sci, Inst Modern Phys, High Energy Nucl Phys Grp, Lanzhou, Peoples R China 4.UCL, Dept Comp Sci, Gower St, London WC1E 6BT, England 5.Univ Craiova, Phys Dept, Str AI Cuza 13, Craiova 200585, Romania 6.Univ Chile, Fac Ciencias Fis & Math, Dept Fis, Casilla 487-3, Santiago, Chile
推荐引用方式 GB/T 7714	Sonnino, Giorgio,Evslin, Jarah,Sonnino, Alberto,et al. Symmetry group and group representations associated with the thermodynamic covariance principle[J]. PHYSICAL REVIEW E,2016,94:17.
APA	Sonnino, Giorgio,Evslin, Jarah,Sonnino, Alberto,Steinbrecher, Gyorgy,&Tirapegui, Enrique.(2016).Symmetry group and group representations associated with the thermodynamic covariance principle.PHYSICAL REVIEW E,94,17.
MLA	Sonnino, Giorgio,et al."Symmetry group and group representations associated with the thermodynamic covariance principle".PHYSICAL REVIEW E 94(2016):17.