Internal variables in the local-equilibrium approximation [electronic resource].
- Published:
- Washington, D.C. : United States. Dept. of Energy, 1992.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description:
- Pages: (31 pages) : digital, PDF file
- Additional Creators:
- Brown University, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access:
- Free-to-read Unrestricted online access
- Summary:
- We explore the basis and consequences of the formalism known in the literature as the method of local equilibrium. Contemporary controversies regarding the foundations of thermodynamics are rooted not only in different sets of concepts and principles, but also in semantics. An attempt is made here to use a consistent group of terms, each of whose dictionary meaning corresponds to its physical nature as closely as possible. Since the intention is to study irreversible processes in systems in which even locally there prevails a state of nonequilibrium, the term local equilibrium is abandoned in favor of the phrase principle of local state. In defining the thermodynamic state of system, a distinction is made between the intensive parameters which appear in the physical space and those which describe states of constrained equilibrium in the Gibbsian phase space. The principle of local state is applied by association with every nonequilibrium state n and accompanying equilibrium state e of equal values of U, a, α, and by asserting that the entropy {bar S} assignable in physical space and temperature {bar T} measured in it can be approximated by the values S and T calculated in the Gibbsian phase space by standard, classical methods. A continuous sequence of accompanying equilibrium states is called an accompanying reversible process, it is conceived as an adiabatic projection of the continuous sequence of nonequilibrium states. The essential part of the method consists in the formulation of the Gibbs equation for the accompanying reversible process in the phase space. It is noted that the local-state approximation, made explicit in this paper, has been used and tested in fluid mechanics though its validity is contested in contemporary continuum mechanics and mechanics of solids.
- Report Numbers:
- E 1.99:doe/er/13687-10
E 1.99: conf-9206208--1
conf-9206208--1
doe/er/13687-10 - Subject(s):
- Other Subject(s):
- Note:
- Published through SciTech Connect.
05/01/1992.
"doe/er/13687-10"
" conf-9206208--1"
"DE92016854"
Symposium on thermodynamic fundamentals, Berlin (Germany), 11-12 Jun 1992.
Kestin, J. - Funding Information:
- FG02-87ER13687
View MARC record | catkey: 13826273