TY - JOUR
T1 - Onsager's symmetry in the Burnett regime
AU - Romero, M. B.
AU - Velasco, R. M.
N1 - Funding Information:
This work was partially supported by CONACyT, M6xico under Grant No. 065 l-E9110.
PY - 1995/12/15
Y1 - 1995/12/15
N2 - The Onsager Symmetry Relations (OSR), which are of fundamental importance in Linear Irreversible Thermodynamics (LIT), are not obeyed by the linearized Burnett equations for a dilute gas. In this paper we present a solution to this problem, which consists of an enlargement of the space of relevant variables to include the heat flux and the viscous tensor as state variables besides the usual conserved ones, an ansatz which has a kinetic foundation in the Grad's method of solution to the Boltzmann equation. After showing that the evolution equations for the non-conserved moments reduce to the usual constitutive relations for the Burnett approximation, we prove that the resultant set of hydrodynamical equations indeed satisfy the OSR.
AB - The Onsager Symmetry Relations (OSR), which are of fundamental importance in Linear Irreversible Thermodynamics (LIT), are not obeyed by the linearized Burnett equations for a dilute gas. In this paper we present a solution to this problem, which consists of an enlargement of the space of relevant variables to include the heat flux and the viscous tensor as state variables besides the usual conserved ones, an ansatz which has a kinetic foundation in the Grad's method of solution to the Boltzmann equation. After showing that the evolution equations for the non-conserved moments reduce to the usual constitutive relations for the Burnett approximation, we prove that the resultant set of hydrodynamical equations indeed satisfy the OSR.
KW - Burnett equations
KW - Grad's method
KW - Onsager reciprocity relations
UR - http://www.scopus.com/inward/record.url?scp=0043054729&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(95)00203-0
DO - 10.1016/0378-4371(95)00203-0
M3 - Artículo
SN - 0378-4371
VL - 222
SP - 161
EP - 172
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -