Simple example for comparing GENERIC with rational non-equilibrium thermodynamics

Physica A: Statistical Mechanics and its Applications

Volumn 285, Issue 3, 2000, Pages 448-466

  Muschik, W ^a   Gumbel S ^a   Kroger M ^a,b   Ottinger H C ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ENTROPY; FRICTION; GAS CYLINDERS; GASES; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PISTONS; THERMODYNAMICS;

DISCRETE SYSTEMS; NONEQUILIBRIUM THERMODYNAMICS;

STATISTICAL MECHANICS;

EID: 0342955751     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00252-1     Document Type: Article

References (18)

1. Muschik W. Fundamentals of nonequilibrium thermodynamics. Muschik W. Non-Equilibrium Thermodynamics with Applications to Solids, Section. 1 CISM Courses and Lectures. Vol. 336:1993;Springer, Wien.
2. Grmela M. Bracket formulation of dissipative fluid mechanics equations. Phys. Lett. A. 102:1984;335-358.
3. Grmela M., Öttinger H.C. Dynamics and thermodynamics of complex fluids, development of a GENERIC formalism. Phys. Rev. E. 56:1997;6620.
4. Öttinger H.C., Grmela M. Dynamics and thermodynamics of complex fluids, illustrations of the GENERIC formalism. Phys. Rev. E. 56:1997;6633.
5. Muschik W., Domínguez-Cascante R. On extended thermodynamics of discrete systems. Physica A. 233:1996;523.
6. Muschik W. Aspects of Non-Equilibrium Thermodynamics, Section. 6.4.1 :1990;World Scientific, Singapore.
7. Liu I.S. Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rational Mech. Anal. 46:1972;131.
8. Muschik W., Ehrentraut H. An amendment to the second law. J. Non-Equilib. Thermodyn. 21:1996;175.
9. W. Muschik, C. Papenfuss, H. Ehrentraut, Concepts of Continuum Thermodynamics, Section 4.2.2 , Kielce University of Technology, 1997, ISBN 83-905132-7-7.
10. Coleman B.D., Mizel V.J. Existence of caloric equations of state in thermodynamics. J. Chem. Phys. 40:1964;1116-1125.
11. Muschik W. Empirical foundation and axiomatic treatment of non-equilibrium temperature. Arch. Rational Mech. Anal. 66:1977;379.
12. Muschik W., Brunk G. A concept of non-equilibrium temperature. Int. J. Engng. Sci. 15:1977;377.
13. Muschik W. Irreversibility and second law. J. Non-Equilib. Thermodyn. 23:1998;87-98.
14. W. Muschik, Recent Developments in Non-Equilibrium Thermodynamics, Lecture Notes in Physics, Vol. 199, Springer, Berlin, 1984, p. 387.
15. Edwards B.J., Beris A.N. Noncanonical Poisson bracket for nonlinear elasticity with extension to viscoelasticity. J. Phys. A. 24:1991;2461-2480.
16. Grmela M., Jou D., Casas-Vázquez J. Nonlinear and Hamiltonian extended and irreversible thermodynamics. J. Chem. Phys. 108:1998;7937-7945.
17. Öttinger H.C. General projection operator formalism for the dynamics and thermodynamics of complex fluids. Phys. Rev. E. 57:1998;1416.
18. Edwards B.J., Öttinger H.C. Time-structure invariance criteria for closure approximations. Phys. Rev. E. 56:1997;4097-4103.