Variational formulation of nonequilibrium thermodynamics for hydrodynamic pattern formations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 6, 2002, Pages 5-

  Woo, H J ^a  

^a University of Massachusetts Amherst   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MOMENTUM; PATTERN FORMATIONS; PRODUCTION RATES; RAYLEIGH NUMBER;

DYNAMICS; ENTROPY; EQUATIONS OF MOTION; HYDRODYNAMICS; PATTERN RECOGNITION; PHASE TRANSITIONS; STATISTICAL MECHANICS;

THERMODYNAMIC PROPERTIES;

ARTICLE;

EID: 37649028193     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066104     Document Type: Article

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25. Equation (2) applies to an isolated system, whereas (Formula presented) in Eq. (3) is the entropy production rate of a general system (Formula presented) We can define (Formula presented) such that it contains all possible irreversibilities that can occur. In contrast to near-equilibrium cases, such a provision is necessary when patterns can arise, since (Formula presented) would then be macroscopically inhomogeneous.