Theorem of Necessity and Sufficiency of Stable Equilibrium for Generalized Potential Equality between System and ReservoirReport as inadecuate




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Theliterature reports that equality of temperature, equality of potential andequality of pressure between a system and a reservoir are necessary conditionsfor the stable equilibrium of the system-reservoir composite or, in theopposite and equivalent logical inference, that stable equilibrium is asufficient condition for equality. The aim and the first novelty of the presentstudy is to prove that equality of temperature, potential and pressure is alsoa sufficient condition for stable equilibrium, in addition to necessity,implying that stable equilibrium is a condition also necessary, in addition tosufficiency, for equality. The second novelty is that the proof of thesufficiency of equality or the necessity of stable equilibrium is attained bymeans of the generalization of the entropy property, derived from thegeneralization of exergy property, which is used to demonstrate that stableequilibrium is a logical consequence of equality of generalized potential. Thisproof is underpinned by the Second Law statement and the Maximum-EntropyPrinciple based on generalized entropy which depends on temperature, potentialand pressure of the reservoir. The conclusion, based on these two novelconcepts, consists of the theorem of necessity and sufficiency of stableequilibrium for equality of generalized potentials within a compositeconstituted by a system and a reservoir.

KEYWORDS

Available Energy, Second Law, Stable Equilibrium, Nonequilibrium, Generalized Exergy, Generalized Entropy, Generalized Potential

Cite this paper

Palazzo, P. 2014 Theorem of Necessity and Sufficiency of Stable Equilibrium for Generalized Potential Equality between System and Reservoir. Journal of Modern Physics, 5, 2003-2011. doi: 10.4236-jmp.2014.518196.





Author: Pierfrancesco Palazzo*

Source: http://www.scirp.org/



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