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
收藏
页码：48 / 53
页数：6
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