IWNET12
IWNET12
On the Hamiltonian Structure of Extended Thermodynamics of Irre-
versible Processes
S.I. Serdyukov1
1 Chemistry Department, Moscow State University, 119992 Moscow, Russia
Abstract
The conventional version of extended irreversible thermodynamics (EIT) [1-3] is based on the assumption that
the generalized entropy density is a function of both usual thermodynamic variables and the corresponding
dissipative uxes. Hamiltonian structure of traditional version of EIT is considered in [1,2,4,5]. In this Note,
we consider another version of extended thermodynamics [6,7], which proceeds from the postulate that entropy
density is function of the usual variables and its material time derivatives. We show that Hamiltonian structure
is preserved and balance laws both for usual and additional variables can be derived. Within this formalism we
obtain Euler equation containing generalized temperature.
References
[1] D. Jou, J. Casas-Vazquez, G. Lebon, Extended Irreversible Thermodynamics, 3th Edition, Springer, Berlin,
2001.
[2] D. Jou, J. Casas-Vazquez, G. Lebon, Rep. Prog. Phys. 62 (1999) 1035-1142.
[3] I. Muller, T. Ruggeri, Extended Thermodynamics, Springer, New York, 1993.
[4] M. Grmela, G. Lebon, J. Phys. A: Math. Gen. 23 (1990) 3341.
[5] M. Grmela, D. Jou, J. Casas-Vázquez, J. Chem. Phys. 108 (1998) 7937.
[6] S.I. Serdyukov, N.M. Voskresenskii, J. Non-Equilib. Thermodyn. 35 (2010) 323.
[7] S.I. Serdyukov, Physica A (2012) doi: 10.1016/j.physa.2012.06.045.
E-mail: serdkv@tech.chem.msu.ru

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