Entropy Principle and Recent Results in Non-Equilibrium Theories

被引：82

作者：

Cimmelli, Vito Antonio ^{[1
]}

Jou, David ^{[2
,3
]}

Ruggeri, Tommaso ^{[4
,5
]}

Van, Peter ^{[6
,7
,8
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, I-85100 Potenza, Italy

[2] Univ Autonoma Barcelona, Dept Fis, Bellaterra, Spain

[3] Inst Estudis Catalans, Barcelona 08193, Catalonia, Spain

[4] Univ Bologna, Dept Math, I-40123 Bologna, Italy

[5] Univ Bologna, Res Ctr Appl Math, I-40123 Bologna, Italy

[6] Wigner Res Ctr Phys, Inst Particle & Nucl Phys, Dept Theoret Phys, H-1121 Budapest, Hungary

[7] BME, Dept Energy Engn, H-1111 Budapest, Hungary

[8] Montavid Thermodynam Res Grp, H-1112 Budapest, Hungary

来源：

ENTROPY | 2014年 / 16卷 / 03期

关键词：

continuum thermodynamics; entropy principle; rational thermodynamics; classical irreversible thermodynamics; extended irreversible thermodynamics; rational extended thermodynamics; exploitation of second law; DISSIPATIVE HYPERBOLIC SYSTEMS; IRREVERSIBLE-PROCESSES; EXTENDED THERMODYNAMICS; HEAT-CONDUCTION; GLOBAL EXISTENCE; FRAME DEPENDENCE; SMOOTH SOLUTIONS; BALANCE LAWS; 2ND SOUND; CONSERVATION EQUATIONS;

D O I：

10.3390/e16031756

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible processes TIP, Extended irreversible thermodynamics EIT, Rational Extended thermodynamics RET) is also summarized.

引用

页码：1756 / 1807

页数：52

共 154 条

[61]

De Groot S. R., 2013, Non-Equilibrium Thermodynamics

[62] MAXIMIZATION OF THE ENTROPY IN NON-EQUILIBRIUM [J].

DREYER, W .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18) :6505-6517

[63]

DUNN JE, 1985, ARCH RATION MECH AN, V88, P95

[64] The thermodynamics of irreversible processes III Relativistic theory of the simple fluid [J].

Eckart, C .

PHYSICAL REVIEW, 1940, 58 (10) :919-924

[65] THE THERMODYNAMICS OF IRREVERSIBLE PROCESSES .4. THE THEORY OF ELASTICITY AND ANELASTICITY [J].

ECKART, C .

PHYSICAL REVIEW, 1948, 73 (04) :373-382

[66] The thermodynamics of irreversible processes II Fluid mixtures [J].

Eckart, C .

PHYSICAL REVIEW, 1940, 58 (03) :269-275

[67] The thermodynamics of irreversible processes I The simple fluid [J].

Eckart, C .

PHYSICAL REVIEW, 1940, 58 (03) :267-269

[68]

Eu B.C., 1992, KINETIC THEORY IRREV

[69] Thermodynamics of non-local materials: extra fluxes and internal powers [J].

Fabrizio, Mauro ;

Lazzari, Barbara ;

Nibbi, Roberta .

CONTINUUM MECHANICS AND THERMODYNAMICS, 2011, 23 (06) :509-525

[70]

FARKAS G., 1894, Mathematikai es Termeszettudomanyi Ertesito, V12, P457

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