Fisher-based thermodynamics: Its Legendre transform and concavity properties

被引：82

作者：

Frieden, BR

Plastino, A

Plastino, AR

Soffer, BH ^{[1
]}

机构：

[1] Univ Arizona, Tucson, AZ 85721 USA

[2] Natl Univ La Plata, RA-1900 La Plata, Argentina

[3] CONICET, Argentine Natl Res Ctr, Buenos Aires, DF, Argentina

来源：

PHYSICAL REVIEW E | 1999年 / 60卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.60.48

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

It is shown that the Legendre-transform structure of thermodynamics can be replicated without any change if one replaces the entropy S by Fisher's information measure I. Also, the important thermodynamic property of concavity is shown to be obeyed by I. By this use of the Fisher information measure we, develop a thermodynamics that seems to be able to treat equilibrium and nonequilibrium situations in a manner entirely similar to the conventional one. [S1063-651X(99)03707-1].

引用

页码：48 / 53

页数：6

共 30 条

[11] ESTIMATION OF DISTRIBUTION LAWS, AND PHYSICAL LAWS, BY A PRINCIPLE OF EXTREMIZED PHYSICAL INFORMATION [J].