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A Scale-Invariant Model of Statistical Mechanics and Modified Forms of the First and the Second Laws of ThermodynamicsA scale-invariant statistical theory of fields is presented that leads to invariant definition of density, velocity, temperature, and pressure, The definition of Boltzmann constant is introduced as k(sub k) = m(sub k)v(sub k)c = 1.381 x 10(exp -23) J x K(exp -1), suggesting that the Kelvin absolute temperature scale is equivalent to a length scale. Two new state variables called the reversible heat Q(sub rev) = TS and the reversible work W(sub rev) = PV are introduced. The modified forms of the first and second law of thermodynamics are presented. The microscopic definition of heat (work) is presented as the kinetic energy due to the random (peculiar) translational, rotational, and pulsational motions. The Gibbs free energy of an element at scale Beta is identified as the total system energy at scale (Beta-1), thus leading to an invariant form of the first law of thermodynamics U(sub Beta) = Q(sub Beta) - W(sub Beta) +N(e3)U(sub Beta-1).
Document ID
20010061464
Document Type
Reprint (Version printed in journal)
Authors
Sohrab, Siavash H. (Northwestern Univ. Evanston, IL United States)
Pitch, Nancy
Date Acquired
August 20, 2013
Publication Date
January 1, 1999
Publication Information
Publication: International Journal of Therm. Sci.
Volume: 38
Subject Category
Fluid Mechanics and Thermodynamics
Funding Number(s)
CONTRACT_GRANT: NAG3-1863
PROJECT: RTOP 101-12-OA
OTHER: NSF CTS-88-20077
Distribution Limits
Public
Copyright
Other